System and process for selecting objects in a ubiquitous computing environment

CROSS-REFERENCE TO RELATED APPLICATIONS

P-0001[0001] This application claims the benefit of a previously filed provisional patent application Serial No. 60/355,368, filed on Feb. 7, 2002.

BACKGROUND

P-0002[0002] 1. Technical Field

P-0003[0003] The invention is related to selecting objects in a ubiquitous computing environment where various electronic devices are controlled by a computer via a network connection, and more particularly to a system and process for selecting objects within the environment by a user pointing to the object with a wireless pointing device.

P-0004[0004] 2. Background Art

P-0005[0005] Increasingly our environment is populated with a multitude of intelligent devices, each specialized in function. The modern living room, for example, typically features a television, amplifier, DVD player, lights, and so on. In the near future, we can look forward to these devices becoming more inter-connected, more numerous and more specialized as part of an increasingly complex and powerful integrated intelligent environment. This presents a challenge in designing good user interfaces.

P-0006[0006] For example, today's living room coffee table is typically cluttered with multiple user interfaces in the form of infrared (IR) remote controls. Often each of these interfaces controls a single device. Tomorrow's intelligent environment presents the opportunity to present a single intelligent user interface (UI) to control many such devices when they are networked. This UI device should provide the user a natural interaction with intelligent environments. For example, people have become quite accustomed to pointing at a piece of electronic equipment that they want to control, owing to the extensive use of IR remote controls. It has become almost second nature for a person in a modern environment to point at the object he or she wants to control, even when it is not necessary. Take the small radio frequency (RF) key fobs that are used to lock and unlock most automobiles in the past few years as an example. Inevitably, a driver will point the free end of the key fob toward the car while pressing the lock or unlock button. This is done even though the driver could just have well pointed the fob away from the car, or even pressed the button while still in his or her pocket, owing to the RF nature of the device. Thus, a single UI device, which is pointed at electronic components or some extension thereof (e.g., a wall switch to control lighting in a room) to control these components, would represent an example of the aforementioned natural interaction that is desirable for such a device.

P-0007[0007] There are some so-called “universal” remote controls on the market that are preprogrammed with the known control protocols of a litany of electronic components, or which are designed to learn the command protocol of an electronic component. Typically, such devices are limited to one transmission scheme, such as IR or RF, and so can control only electronic components operating on that scheme. However, it would be desirable if the electronic components themselves were passive in that they do not have to receive and process commands from the UI device directly, but would instead rely solely on control inputs from the aforementioned network. In this way, the UI device does not have to differentiate among various electronic components, say by recognizing the component in some manner and transmitting commands using some encoding scheme applicable only to that component, as is the case with existing universal remote controls.

P-0008[0008] Of course, a common control protocol could be implemented such that all the controllable electronic components within an environment use the same control protocol and transmission scheme. However, this would require all the electronic components to be customized to the protocol and transmission scheme, or to be modified to recognize the protocol and scheme. This could add considerably to the cost of a “single UI-controlled” environment. It would be much more desirable if the UI device could be used to control any networked group of new or existing electronic components regardless of remote control protocols or transmission schemes the components were intended to operate under.

P-0009[0009] It is noted that in the preceding paragraphs, as well as in the remainder of this specification, the description refers to various individual publications identified by a numeric designator contained within a pair of brackets. For example, such a reference may be identified by reciting, “reference [1]” or simply “[1]”. Multiple references will be identified by a pair of brackets containing more than one designator, for example, [2, 3]. A listing of references including the publications corresponding to each designator can be found at the end of the Detailed Description section.

SUMMARY

P-0010[0010] The present invention is directed toward a system and process that provides a remote control UI device that is capable of controlling a group of networked electronic components regardless of any control protocols or transmission schemes under which they operate. In addition, the UI device of the present system and process is able to control the electronic components without having to directly differentiate among the components or employ a myriad of different control protocols and transmission schemes. And in order to provide a natural interaction experience, the present system is operated by having the user point at the electronic component (or an extension thereof that he or she wishes to control.

P-0011[0011] The system and process according to the present invention provides a remote control UI device that can be simply pointed at objects in an ubiquitous computing environment that are associated in some way with controllable, networked electronic components, so as to select that object for controlling via the network. This can for example involve pointing the UI device at a wall switch and pressing a button on the device to turn a light operated by the switch on or off. The idea is to have a UI device so simple that it requires no particular instruction or special knowledge on the part of the user.

P-0012[0012] In general, the system includes the aforementioned remote control UI device in the form of a wireless RF pointer, which includes a radio frequency (RF) transceiver and various orientation sensors. The outputs of the sensors are periodically packaged as orientation messages and transmitted using the RF transceiver to a base station, which also has a RF transceiver to receive the orientation messages transmitted by the pointer. There is also a pair of digital video cameras each of which is located so as to capture images of the environment in which the pointer is operating from different viewpoints. A computer, such as a PC, is connected to the base station and the video cameras. Orientation messages received by the base station from the pointer are forwarded to the computer, as are images captured by the video cameras. The computer is employed to compute the orientation and location of the pointer using the orientation messages and captured images. The orientation and location of the pointer is in turn used to determine if the pointer is being pointed at an object in the environment that is controllable by the computer via a network connection. If it is, the object is selected.

P-0013[0013] The pointer specifically includes a case having a shape with a defined pointing end, a microcontroller, the aforementioned RF transceiver and orientation sensors which are connected to the microcontroller, and a power supply (e.g., batteries) for powering these electronic components. In the tested versions of the pointer, the orientation sensors included at least, an accelerometer that provides separate x-axis and y-axis orientation signals, and a magnetometer that provides separate x-axis, y-axis and z-axis orientation signals. These electronics were housed in a case that resembled a wand.

P-0014[0014] The pointer's microcontroller packages and transmits orientation messages at a prescribed rate. While the microcontroller could be programmed to accomplish this task by itself, a command-response protocol was employed in tested versions of the system. This entailed the computer periodically instructing the pointer's microcontroller to package and transmit an orientation message by causing the base station to transmit a request for the message to the pointer at the prescribed rate. This prescribed rate could for example be approximately 50 times per second as it was in tested versions of the system.

P-0015[0015] As indicated previously, the orientation messages generated by the pointer include the outputs of the sensors. To this end, the pointer's microcontroller periodically reads and stores the outputs of the orientation sensors. Whenever a request for an orientation message is received (or it is time to generate such a message if the pointer is programmed to do so without a request), the microcontroller includes the last-read outputs from the accelerometer and magnetometer in the orientation message.

P-0016[0016] The pointer also includes other electronic components such as a user activated switch or button, and a series of light emitting diodes (LEDs). The user-activated switch, which is also connected to the microcontroller, is employed for the purpose of instructing the computer to implement a particular function, such as will be described later. To this end, the state of the switch in regard to whether it is activated or deactivated at the time an orientation message is packaged is included in that message for transmission to the computer. The series of LEDs includes a pair of differently-colored, visible spectrum LEDs, which are connected to the microcontroller, and which are visible from the outside of the pointer's case when lit. These LEDs are used to provide status or feedback information to the user, and are controlled via instructions transmitted to the pointer by the computer.

P-0017[0017] The foregoing system is used to select an object by having the user simply point to the object with the pointer. This entails the computer first inputting the orientation messages transmitted by the pointer. For each message received, the computer derives the orientation of the pointer in relation to a predefined coordinate system of the environment in which the pointer is operating using the orientation sensor readings contained in the message. In addition, the video output from the video cameras is used to ascertain the location of the pointer at a time substantially contemporaneous with the generation of the orientation message and in terms of the predefined coordinate system. Once the orientation and location of the pointer are computed, they are used to determine whether the pointer is being pointed at an object in the environment that is controllable by the computer. If so, then that object is selected for future control actions.

P-0018[0018] The computer derives the orientation of the pointer from the orientation sensor readings contained in the orientation message as follows. First, the accelerometer and magnetometer output values contained in the orientation message are normalized. Angles defining the pitch of the pointer about the x-axis and the roll of the device about the y-axis are computed from the normalized outputs of the accelerometer. The normalized magnetometer output values are then refined using these pitch and roll angles. Next, previously established correction factors for each axis of the magnetometer, which relate the magnetometer outputs to the predefined coordinate system of the environment, are applied to the associated refined and normalized outputs of the magnetometer. The yaw angle of the pointer about the z axis is computed using the refined magnetometer output values. The computed pitch, roll and yaw angles are then tentatively designated as defining the orientation of the pointer at the time the orientation message was generated. It is next determined whether the pointer was in a right-side up or up-side down position at the time the orientation message was generated. If the pointer was in the right-side up position, the previously computed pitch, roll and yaw angles are designated as the defining the finalized orientation of the pointer. However, if it is determined that the pointer was in the up-side down position at the time the orientation message was generated, the tentatively designated roll angle is corrected accordingly, and then the pitch, yaw and modified roll angle are designated as defining the finalized orientation of the pointer. In the foregoing description, it is assumed that the accelerometer and magnetometer of the pointer are oriented such that their respective first axis corresponds to the x-axis which is directed laterally to a pointing axis of the pointer and their respective second axis corresponds to the y-axis which is directed along the pointing axis of the pointer, and the third axis of the magnetometer correspond to the z-axis which is directed vertically upward when the pointer is positioned right-side up with the x and y axes lying in a horizontal plane.

P-0019[0019] The computer derives the location of the pointer from the video output of the video cameras as follows. There is an infrared (IR) LED connected to the microcontroller that is able to emit IR light outside the pointer's case when lit: The microcontroller causes the IR LEDs to flash. In addition, the aforementioned pair of digital video cameras each have an IR pass filter that results in the video image frames capturing only IR light emitted or reflected in the environment toward the camera, including the flashing from the pointer's IR LED which appears as a bright spot in the video image frames. The microcontroller causes the IR LED to flash at a prescribed rate that is approximately one-half the frame rate of the video cameras. This results in only one of each pair of image frames produced by a camera having the IR LED flashes depicted in it. This allows each pair of frames produced by a camera to be subtracted to produce a difference image, which depicts for the most part only the IR emissions and reflections directed toward the camera which appear in one or the other of the pair of frames but not both (such as the flash from the IR LED of the pointing device). In this way, the background IR in the environment is attenuated and the IR flash becomes the predominant feature in the difference image. The image coordinates of the pixel in the difference image that exhibits the highest intensity is then identified using a standard peak detection procedure. A conventional stereo image technique is then employed to compute the 3D coordinates of the flash for each set of approximately contemporaneous pairs of image frames generated by the pair of cameras using the image coordinates of the flash from the associated difference images and predetermined intrinsic and extrinsic camera parameters. These coordinates represent the location of the pointer (as represented by the location of the IR LED) at the time the video image frames used to compute them were generated by the cameras.

P-0020[0020] The orientation and location of the pointing device at any given time is used to determine whether the pointing device is being pointed at an object in the environment that is controllable by the computer. In order to do so the computer must know what objects are controllable and where they exist in the environment. This requires a model of the environment. In the present system and process, the location and extent of objects within the environment that are controllable by the computer are modeled using 3D Gaussian blobs defined by a location of the mean of the blob in terms of its environmental coordinates and a covariance. Two different methods have been developed to model objects in the environment.

P-0021[0021] The first involves the user inputting information identifying the object that is to be modeled. The user then activates the switch on the pointing device and traces the outline of the object. Meanwhile, the computer is running a target training procedure that causes requests for orientation messages to be sent to the pointing device a prescribed request rate. The orientation messages are input as they are received, and for each orientation message, it is determined whether the switch state indictor included in the orientation message indicates that the switch is activated. Whenever it is initially determined that the switch is not activated, the switch state determination action is repeated for each subsequent orientation message received until an orientation message is received which indicates that the switch is activated. At that point, each time it is determined that the switch is activated, the location of the pointing device is ascertained as described previously using the digital video input from the pair of video cameras. When the user is done tracing the outline of the object being modeled, he or she deactivates the switch. The target training process sees this as the switch has been deactivated after having been activated in the immediately preceding orientation message. Whenever, such a condition occurs, the tracing procedure is deemed to be complete and a 3D Gaussian blob representing the object is established using the previously ascertained pointing device locations stored during the tracing procedure.

P-0022[0022] The second method of modeling objects once again begins by the user inputting information identifying the object that is to be modeled. However, in this case the user repeatedly points the pointer at the object and momentarily activates the switch on the device, each time pointing the device from a different location within the environment. Meanwhile, the computer is running a target training procedure that causes requests for orientation messages to be sent to the pointing device at a prescribed request rate. Each orientation message received from the pointing device is input until the user indicates the target training inputs are complete. For each orientation message input, it is determined whether the switch state indicator contained therein indicates that the switch is activated. Whenever it is determined that the switch is activated, the orientation of the pointing device is computed as described previously using orientation sensor readings also included in the orientation message. In addition, the location of the pointing device is ascertained using the inputted digital video from the pair of video cameras. The computed orientation and location values are stored. Once the user indicates the target training inputs are complete, the location of the mean of a 3D Gaussian blob that will be used to represent the object being modeled is computed from the pointing device's stored orientation and location values. The covariance of the Gaussian blob is then obtained in one of various ways. For example, it can be a prescribed covariance, a user input covariance, or the covariance can be computed by adding a minimum covariance to the spread of the intersection points of rays defined by the pointing device's stored orientation and location values.

P-0023[0023] With a Gaussian blob model of the environment in place, the orientation and location of the pointing device can be is used to determine whether the pointing device is being pointed at an object in the environment that is controllable by the computer. In one version of this procedure, for each Gaussian blob in the model, the blob is projected onto a plane which is normal to either a line extending from the location of the pointing device to the mean of the blob or a ray originating at the location of the pointing device and extending in a direction defined by the orientation of the device. The value of the resulting projected Gaussian blob at a point where the ray intersects the plane is computed. This value represents the probability that the pointing device is pointing at the object associated with the blob under consideration. Next, the probability representing the largest value computed for the Gaussian blobs, if any, is identified. At this point, the object associated with the Gaussian blob from which the largest probability value was derived could be designated as being the object that the pointing device is pointing at. However, an alternate thresholding procedure could be employed instead. In this alternate version, it is first determined whether the probability value identified as the largest exceeds a prescribed minimum probability threshold. Only if the threshold is exceeded is the object associated with the projected Gaussian blob from which the largest probability value was derived designated as being the object that the pointer is pointing at. The minimum probability threshold is chosen to ensure the user is actually pointing at the object and not just near the object without an intent to select it.

P-0024[0024] In an alternate procedure for determining whether the pointing device is being pointed at an object in the environment that is controllable by the computer, for each Gaussian blob, it is determined whether a ray originating at the location of the pointing device and extending in a direction defined by the orientation of the device intersects the blob. Next, for each Gaussian blob intersected by the ray, it is determined what the value of the Gaussian blob is at a point along the ray nearest the location of the mean of the blob. This value represents the probability that the pointing device is pointing at the object associated with the Gaussian blob. The rest of the procedure is similar to the first method in that the object associated with the Gaussian blob from which the largest probability value was derived could be designated as being the object that the pointing device is pointing at. Or alternately, it is first determined whether the probability value identified as the largest exceeds the prescribed minimum probability threshold. If the threshold is exceeded, only then is the object associated with the projected Gaussian blob from which the largest probability value was derived designated as being the object that the pointing device is pointing at.

DESCRIPTION OF THE DRAWINGS

P-0025[0025] The specific features, aspects, and advantages of the present invention will become better understood with regard to the following description, appended claims, and accompanying drawings where:

P-0026[0026]FIG. 1 is a diagram depicting an object selection system according to the present invention.

P-0027[0027]FIG. 2 is an image depicting one version of the wireless RF pointer employed in the object selection system of FIG. 1, where the case is transparent revealing the electronic component within.

P-0028[0028]FIG. 3 is a block diagram illustrating the internal components included in one version of the wireless RF pointer employed in the object selection system of FIG. 1.

P-0029[0029]FIG. 4 is a flow chart diagramming a process performed by the pointer to package and transmit orientation data messages.

P-0030[0030] FIGS. <b>5</b>A-B depict a flow chart diagramming a process for conserving the battery life of the pointer employed in the object selection system of FIG. 1.

P-0031[0031]FIG. 6 is a block diagram illustrating the internal components included in one version of the RF base station employed in the object selection system of FIG. 1.

P-0032[0032]FIG. 7 is a diagram depicting a general purpose computing device constituting an exemplary system for implementing the host computer of the present invention.

P-0033[0033]FIG. 8 is a flow chart diagramming an overall process for selecting an object using the object selection system of FIG. 1.

P-0034[0034]FIG. 9 is a flow chart diagramming a process for determining a set of magnetometer correction factors for use in deriving the orientation of the pointer performed as part of the overall process of FIG. 8.

P-0035[0035]FIG. 10 is a flow chart diagramming a process for determining a set of magnetometer normalization factors for use in deriving the orientation of the pointer performed as part of the overall process of FIG. 8.

P-0036[0036] FIGS. <b>11</b>A-B depict a flow chart diagramming the process for deriving the orientation of the pointer performed as part of the overall process of FIG. 8.

P-0037[0037]FIG. 12 is a timeline depicting the relative frequency of the production of video image frames by the video cameras of the system of FIG. 1 and the short duration flash of the IR LED of the pointer.

P-0038[0038] FIGS. <b>13</b>A-B are images respectively depicting an office at IR frequencies from each of two IF pass-filtered video cameras, which capture the flash of the IR LED of the pointer.

P-0039[0039] FIGS. <b>13</b>C-D are difference images of the same office as depicted in FIGS. <b>13</b>A-B where FIG. 13C depicts the difference image derived from a pair of consecutive images generated by the camera that captured the image of FIG. 3A and where FIG. 13D depicts the difference image derived from a pair of consecutive images generated by the camera that captured the image of FIG. 3B. The difference images attenuate background IR leaving the pointer's IR LED flash as the predominant feature of the image.

P-0040[0040]FIG. 14 depicts a flow chart diagramming the process for determining the location of the pointer performed as part of the overall process of FIG. 8.

P-0041[0041]FIG. 15 is a flow chart diagramming a first process for using the object selection system of FIG. 1 to model an object in an environment, such as a room, as a Gaussian blob.

P-0042[0042]FIG. 16 is a flow chart diagramming an alternate process for using the object selection system of FIG. 1 to model an object in an environment as a Gaussian blob.

P-0043[0043]FIG. 17 depicts a flow chart diagramming a process for determining what object a user is pointing at with the pointer as part of the overall process of FIG. 8.

DESCRIPTION OF THE PREFERRED EMBODIMENTS

P-0044[0044] In the following description of the preferred embodiments of the present invention, reference is made to the accompanying drawings which form a part hereof, and in which is shown by way of illustration specific embodiments in which the invention may be practiced. It is understood that other embodiments may be utilized and structural changes may be made without departing from the scope of the present invention.

P-0045[0045] Referring to FIG. 1, the object selection system according to the present invention includes a wireless pointer <b>10</b>, which is pointed by a user at an object in the surrounding environment (such as a room) that the user wishes to affect. For example, the user might point the device <b>10</b> at a lamp with the intention of turning the lamp on or off. The wireless pointer <b>10</b> transmits data messages to a RF transceiver base station <b>12</b>, which is in communication with a host computer <b>14</b>, such as a personal computer (PC). In tested versions of the present object selection system, communications between the base station <b>12</b> and the host computer <b>14</b> were accomplished serially via a conventional RS232 communication interface. However, other communication interfaces can also be employed as desired. For example, the communications could be accomplished using a Universal System Bus (USB), or IEEE 1394 (Firewire) interface, or even a wireless interface. The base station <b>12</b> forwards data received from the pointer <b>10</b> to the host computer <b>14</b> when a data message is received. The host computer <b>14</b> then computes the current 3D orientation of the pointer <b>10</b> from the aforementioned received data. The process used for this computation will be described in detail later.

P-0046[0046] The object selection system also includes components for determining the 3D location of the pointer <b>10</b>. Both the orientation and location of the pointer within the environment in which it is operating are needed to determine where the user is pointing the device. In tested embodiments of the present system these components included a pair of video cameras <b>16</b>, <b>18</b> with infrared-pass filters. These cameras <b>16</b>, <b>18</b> are mounted at separate locations within the environment such that each images the portion of the environment where the user will be operating the pointer <b>10</b> from a different viewpoint. A wide angle lens can be used for this purpose if necessary. Each camera <b>16</b>, <b>18</b> is also connected via any conventional wireless or wired pathway to the host computer <b>14</b>, so as to provide image data to the host computer <b>14</b>. In tested embodiments of the present system, the communication interface between the each camera <b>16</b>, <b>18</b> and the host computer <b>14</b> was accomplished using a wired IEEE 1394 (i.e., Firewire) interface. The process by which the 3D location of the pointer <b>10</b> is determined using the image data provided from the cameras <b>16</b>, <b>18</b> will also be discussed in detail later.

P-0047[0047] The aforementioned wireless pointer is a small hand-held unit that in the tested versions of the object selection system resembled a cylindrical wand, as shown in FIG. 2. However, the pointer can take on many other forms as well. In fact the pointer can take on any shape that is capable of accommodating the internal electronics and external indicator lights and actuators associated with the device—although preferably the chosen shape should be amenable to being pointed with a readily discernable front or pointing end. Some examples of possible alternate shapes for the pointer would include one resembling a remote control unit for a stereo or television, or one resembling an automobile key fob, or one resembling a writing pen.

P-0048[0048] In general, the wireless pointer is constructed from a case having the desired shape, which houses a number of off-the-shelf electronic components. Referring to the block diagram of FIG. 3, the general configuration of these electronic components will be described. The heart of the pointer is a PIC microcontroller <b>300</b> (e.g., a PIC 16F873 20 MHz Flash programmable microcontroller), which is connected to several other components. For example, the output of an accelerometer <b>302</b>, which produces separate x-axis and y-axis signals (e.g., a 2-axis MEMs accelerometer model number ADXL202 manufactured by Analog Devices, Inc. of Norwood Mass.) is connected to the microcontroller <b>300</b>. The output of a magnetometer <b>304</b> (e.g., a 3-axis magnetoresistive permalloy film magnetometer model number HMC1023 manufactured by Honeywell SSEC of Plymouth, Minn.), which produces separate x, y and z axis signals, is also connected to the microcontroller <b>300</b>, as can be an optional single axis output of a gyroscope <b>306</b> (e.g., a 1-axis piezoelectric gyroscope model number ENC-03 manufactured by Murata Manufacturing Co., Ltd. of Kyoto, Japan). The block representing the gyroscope in FIG. 3 has dashed lines to indicate it is an optional component.

P-0049[0049] There is also at least one manually-operated switch connected to the microcontroller <b>300</b>. In the tested versions of the wireless pointer, just one switch <b>308</b> was included, although more switches could be incorporated depending on what functions it is desired to make available for manual activation or deactivation. The included switch <b>308</b> is a push-button switch; however any type of switch could be employed. In general, the switch (i.e., button) <b>308</b> is employed by the user to tell the host computer to implement some function. The particular function will be dependent on what part of the object selection system process is currently running on the host computer. For example, the user might depress the button to signal to the host computer that user is pointing at an object he or she wishes to affect (such as turning it on or off if it is an electrical device), when the aforementioned process is in an object selection mode. A transceiver <b>310</b> with a small antenna <b>312</b> extending therefrom, is also connected to and controlled by the microcontroller <b>300</b>. In tested versions of the pointer, a 418 MHz, 38.4 kbps bidirectional, radio frequency transceiver was employed.

P-0050[0050] Additionally, a pair of visible spectrum LEDs <b>314</b>, <b>316</b>, is connected to the microcontroller <b>300</b>. Preferably, these LEDs each emit a different color of light. For example, one of the LEDs <b>314</b> could produce red light, and the other <b>316</b> could produce green light. The visible spectrum LEDs <b>314</b>, <b>316</b> can be used for a variety of purposes preferably related to providing status or feedback information to the user. In the tested versions of the object selection system, the visible spectrum LEDs <b>314</b>, <b>316</b> were controlled by commands received from the host computer via the base station transceiver. One example of their use involves the host computer transmitting a command via the base station transceiver to the pointer instructing the microcontroller <b>300</b> to illuminate the green LED <b>316</b> when the device is being pointed at an object that the host computer is capable of affecting, and illuminating the red LED when it is not. In addition to the pair of visible LEDs, there is an infrared (IR) LED <b>318</b> that is connected to and controlled by the microcontroller <b>300</b>. The IR LED can be located at the front or pointing end of the pointer. It is noted that unless the case of the pointer is transparent to visible and/or IR light, the LEDs <b>314</b>, <b>316</b>, <b>318</b> whose light emissions would be blocked are configured to extend through the case of the pointer so as to be visible from the outside. It is further noted that a vibration unit such as those employed in pagers could be added to the pointer so that the host computer could activate the unit and thereby attract the attention of the user, without the user having to look at the pointer.

P-0051[0051] A power supply <b>320</b> provides power to the above-described components of the wireless pointer. In tested versions of the pointer, this power supply <b>320</b> took the form of batteries. A regulator in the power supply <b>320</b> converts the battery voltage to 5 volts for the electronic components of the pointer. In tested versions of the pointer about 52 mA was used when running normally, which decreases to 1 mA when the device is in a power saving mode that will be discussed shortly.

P-0052[0052] Tested versions of the wireless pointer operate on a command-response protocol between the device and the base station. Specifically, the pointer waits for a transmission from the base station. An incoming transmission from the base station is received by the pointer's transceiver and sent to the microcontroller. The microcontroller is pre-programmed with instructions to decode the received messages and to determine if the data contains an identifier that is assigned to the pointer and which uniquely identifies the device. This identifier is pre-programmed into the microcontroller. If such an identifier is found in the incoming message, then it is deemed that the message is intended for the pointer. It is noted that the identifier scheme allows other devices to be contacted by the host computer via the base station. Such devices could even include multiple pointers being operated in the same environment, such as in an office. In the case where multiple pointer are in use in the same environment, the object selection process which will be discussed shortly can be running as multiple copies (one for each pointer) on the same host computer, or could be running on separate host computers. Of course, if there are no other devices operating in the same environment, then the identifier could be eliminated and every message received by the pointer would be assumed to be for it. The remainder of the data message received can include various commands from the host computer, including a request to provided orientation data in a return transmission. In tested versions of the object selection system, a request for orientation data was transmitted 50 times per second (i.e., a rate of 50 Hz). The microcontroller is pre-programmed to recognize the various commands and to take specific actions in response.

P-0053[0053] For example, in the case where an incoming data message to the pointer includes a request for orientation data, the microcontroller would react as follows.

P-0054[0054] Referring to the flow diagram in FIG. 4, the microcontroller first determines if the incoming data message contains an orientation data request command (process action <b>400</b>). If not, the microcontroller performs any other command included in the incoming data message and waits for the next message to be received from the base station (process action <b>402</b>). If, however, the microcontroller recognizes an orientation data request command, in process action <b>404</b> it identifies the last-read outputs from the accelerometer, magnetometer and optionally the gyroscope (which will hereafter sometimes be referred to collectively as “the sensors”). These output values, along with the identifier. assigned to the pointer (if employed), and optionally the current state of the button and error detection data (e.g., a checksum value), are packaged by the microcontroller into an orientation data message (process action <b>406</b>). The button state is used by the host computer of the system for various purposes, as will be discussed later. The orientation data message is then transmitted via the pointer's transceiver to the base station (process action <b>408</b>), which passes the data on to the host computer. The aforementioned orientation message data can be packaged and transmitted using any appropriate RF transmission protocol.

P-0055[0055] It is noted that while tested versions of the object selection system used the above-described polling scheme where the pointer provided the orientation data message in response to a transmitted request, this need not be the case. For example, alternately, the microcontroller of the pointer could be programmed to package and transmit an orientation message on a prescribed periodic basis (e.g., at a 50 Hz rate).

P-0056[0056] In regard to the aforementioned error detection data, the base station could be programmed to determine if an orientation message received from the pointer is incomplete or corrupted. If so, the message would not be forwarded on to the host computer. Alternatively, the error detection data could be forwarded to the host computer, and the decision as to whether to use or ignore a defective orientation message would be made as part of the object selection process.

P-0057[0057] The pointer's microcontroller is also pre-programmed to perform power saving functions in order to extend the life of the batteries. Essentially, this involves determining if the device is in motion, and if not shutting it down. The idea behind the battery saving mode is that if the pointer is not being moved, it is likely the user is not pointing it at an object he or she Wishes to affect, and so there is no need for the device to continue normal operations. Any appropriate method for determining whether the pointer is moving can be employed, however in tested embodiments of the pointer, the output of the accelerometer was used. Specifically, referring to FIGS. 5A and B, the microcontroller reads the aforementioned sensors on a periodic basis (process action <b>500</b>). This is done at a rate faster than the orientation data request rate employed by the overall object selection system. Thus, in tested versions of the system, the microcontroller reads the outputs of the sensors at a rate somewhat faster than 50 Hz. Each time the microcontroller reads the sensor outputs, it checks to see if a request for orientation data has been received since the last time the sensors were read (process action <b>502</b>). If a request has come in, the previous procedure of packaging and transmitting an orientation data message is performed (process action <b>504</b>). In addition, each time the sensors are read, the microcontroller determines if the accelerometer outputs have changed since the last sensor reading (process action <b>506</b>). If the outputs have changed, this is indicative that the pointer is in motion. In such a case, the microcontroller resets a sleep clock in the form of a count-down timer resident in the controller (process action <b>508</b>). However, if it is determined that the accelerometer output has not changed, then the microcontroller decrements the timer (process action <b>510</b>). Next, the microcontroller determines if the timer is equal to zero (process action <b>512</b>). If so, the microcontroller powers down the pointer (process action <b>514</b>). If the timer is not zero, the sensor reading process continues by repeating process actions <b>500</b> through <b>512</b>, as appropriate. In tested versions of the pointer, the count-down timer was reset to 10 seconds. It was believed that if the device had not been moved in that amount of time, then it probably is not being used, and can be powered down without impact on the user. Of course, other reset periods could also be employed as desired.

P-0058[0058] Once the pointer is shutdown, normal operations cease with the exception that in process action <b>516</b> the microcontroller wakes the device periodically (e.g., every 3 seconds). When the microcontroller wakes the pointer it reads the output from the accelerometer and then compares these readings to the last-read accelerometer output prior to the shutdown to determine if they are different (process action <b>518</b>). If the new readings are significantly different from the aforementioned prior readings, then the pointer is powered up, the sleep clock is reset, and normal operations resume (process action <b>520</b>). These actions are performed as it is deemed that the pointer has been moved and is now in use if the accelerometer readings change. If, however, the new readings are not significantly different, then the microcontroller shuts down the pointer once again (process action <b>514</b>), and repeats process actions <b>516</b> through <b>522</b>, as appropriate. It is noted that the foregoing power saving scheme was so successful in tested versions of the wireless pointer that no power on/off switch was needed on the pointer-although one could be added if desired.

P-0059[0059] The aforementioned base station used in the present object selection system will now be described. In one version, the base station is a small, stand-alone box with connections for DC power and communications with the PC, respectively, and an external antenna. In tested versions of the object selection system, communication with the PC is done serially via a RS232 communication interface. However, other communication interfaces can also be employed as desired. For example, the PC communications could be accomplished using a Universal System Bus (USB), or IEEE 1394 (Firewire) interface, or even a wireless interface. The antenna is designed to receive 418 MHz radio transmissions from the pointer.

P-0060[0060] Referring now to the block diagram of FIG. 6, the general construction of the RF transceiver base station will be described. The antenna <b>602</b> sends and receives data message signals. In the case of receiving a data message from the pointer, the radio frequency transceiver <b>600</b> demodulates the received signal for input into a PIC microcontroller <b>604</b>. The microcontroller <b>604</b> provides an output representing the received data message each time one is received, as will be described shortly. A communication interface <b>606</b> converts microcontroller voltage levels to levels readable by the host computer. As indicated previously, the communication interface in tested versions of the base station converts the microcontroller voltage levels to RS232 voltages. Power for the base station components is provided by power supply <b>608</b>, which could also be battery powered or take the form of a separate mains powered AC circuit.

P-0061[0061] It is noted that while the above-described version of the base station is a stand-alone unit, this need not be the case. The base station could be readily integrated into the host computer itself. For example, the base station could be configured as an expansion card which is installed in an expansion slot of the host computer. In such a case only the antenna need be external to the host computer.

P-0062[0062] The base station is connected to the host computer, as described previously. Whenever a orientation data message is received from the pointer it is transferred to the host computer for processing. However, before providing a description of the preferred embodiments of the present invention in regard to this processing, a brief, general description of a suitable computing environment in which this processing may be implemented and of the aforementioned host computer, will be described in more detail. FIG. 7 illustrates an example of a suitable computing system environment <b>100</b>. The computing system environment <b>100</b> is only one example of a suitable computing environment and is not intended to suggest any limitation as to the scope of use or functionality of the invention. Neither should the computing environment <b>100</b> be interpreted as having any dependency or requirement relating to any one or combination of components illustrated in the exemplary operating environment <b>100</b>.

P-0063[0063] The object selection process is operational with numerous other general purpose or special purpose computing system environments or configurations. Examples of well known computing systems, environments, and/or configurations that may be suitable for use with the invention include, but are not limited to, personal computers, server computers, hand-held or laptop devices, multiprocessor systems, microprocessor-based systems, set top boxes, programmable consumer electronics, network PCs, minicomputers, mainframe computers, distributed computing environments that include any of the above systems or devices, and the like (which are collectively be referred to as computers or computing devices herein).

P-0064[0064] The object selection process may be described in the general context of computer-executable instructions, such as program modules, being executed by a computer. Generally, program modules include routines, programs, objects, components, data structures, etc. that perform particular tasks or implement particular abstract data types. The invention may also be practiced in distributed computing environments where tasks are performed by remote processing devices that are linked through a communications network. In a distributed computing environment, program modules may be located in both local and remote computer storage media including memory storage devices.

P-0065[0065] With reference to FIG. 7, an exemplary system for implementing the invention includes a general purpose computing device in the form of a computer <b>110</b>. Components of computer <b>110</b> may include, but are not limited to, a processing unit <b>120</b>, a system memory <b>130</b>, and a system bus <b>121</b> that couples various system components including the system memory to the processing unit <b>120</b>. The system bus <b>121</b> may be any of several types of bus structures including a memory bus or memory controller, a peripheral bus, and a local bus using any of a variety of bus architectures. By way of example, and not limitation, such architectures include Industry Standard Architecture (ISA) bus, Micro Channel Architecture (MCA) bus, Enhanced ISA (EISA) bus, Video Electronics Standards Association (VESA) local bus, and Peripheral Component Interconnect (PCI) bus also known as Mezzanine bus.

P-0066[0066] Computer <b>110</b> typically includes a variety of computer readable media. Computer readable media can be any available media that can be accessed by computer <b>110</b> and includes both volatile and nonvolatile media, removable and non-removable media. By way of example, and not limitation, computer readable media may comprise computer storage media and communication media. Computer storage media includes both volatile and nonvolatile, removable and non-removable media implemented in any method or technology for storage of information such as computer readable instructions, data structures, program modules or other data. Computer storage media includes, but is not limited to, RAM, ROM, EEPROM, flash memory or other memory technology, CD-ROM, digital versatile disks (DVD) or other optical disk storage, magnetic cassettes, magnetic tape, magnetic disk storage or other magnetic storage devices, or any other medium which can be used to store the desired information and which can be accessed by computer <b>110</b>. Communication media typically embodies computer readable instructions, data structures, program modules or other data in a modulated data signal such as a carrier wave or other transport mechanism and includes any information delivery media. The term “modulated data signal” means a signal that has one or more of its characteristics set or changed in such a manner as to encode information in the signal. By way of example, and not limitation, communication media includes wired media such as a wired network or direct-wired connection, and wireless media such as acoustic, RF, infrared and other wireless media. Combinations of the any of the above should also be included within the scope of computer readable media.

P-0067[0067] The system memory <b>130</b> includes computer storage media in the form of volatile and/or nonvolatile memory such as read only memory (ROM) <b>131</b> and random access memory (RAM) <b>132</b>. A basic input/output system <b>133</b> (BIOS), containing the basic routines that help to transfer information between elements within computer <b>110</b>, such as during start-up, is typically stored in ROM <b>131</b>. RAM <b>132</b> typically contains data and/or program modules that are immediately accessible to and/or presently being operated on by processing unit <b>120</b>. By way of example, and not limitation, FIG. 7 illustrates operating system <b>134</b>, application programs <b>135</b>, other program modules <b>136</b>, and program data <b>137</b>.

P-0068[0068] The computer <b>110</b> may also include other removable/non-removable, volatile/nonvolatile computer storage media. By way of example only, FIG. 7 illustrates a hard disk drive <b>141</b> that reads from or writes to non-removable, nonvolatile magnetic media, a magnetic disk drive <b>151</b> that reads from or writes to a removable, nonvolatile magnetic disk <b>152</b>, and an optical disk drive <b>155</b> that reads from or writes to a removable, nonvolatile optical disk <b>156</b> such as a CD ROM or other optical media. Other removable/non-removable, volatile/nonvolatile computer storage media that can be used in the exemplary operating environment include, but are not limited to, magnetic tape cassettes, flash memory cards, digital versatile disks, digital video tape, solid state RAM, solid state ROM, and the like. The hard disk drive <b>141</b> is typically connected to the system bus <b>121</b> through a non-removable memory interface such as interface <b>140</b>, and magnetic disk drive <b>151</b> and optical disk drive <b>155</b> are typically connected to the system bus <b>121</b> by a removable memory interface, such as interface <b>150</b>.

P-0069[0069] The drives and their associated computer storage media discussed above and illustrated in FIG. 7, provide storage of computer readable instructions, data structures, program modules and other data for the computer <b>110</b>. In FIG. 7, for example, hard disk drive <b>141</b> is illustrated as storing operating system <b>144</b>, application programs <b>145</b>, other program modules <b>146</b>, and program data <b>147</b>. Note that these components can either be the same as or different from operating system <b>134</b>, application programs <b>135</b>, other program modules <b>136</b>, and program data <b>137</b>. Operating system <b>144</b>, application programs <b>145</b>, other program modules <b>146</b>, and program data <b>147</b> are given different numbers here to illustrate that, at a minimum, they are different copies. A user may enter commands and information into the computer <b>110</b> through input devices such as a keyboard <b>162</b> and pointer <b>161</b>, commonly referred to as a mouse, trackball or touch pad. Other input devices (not shown) may include a microphone, joystick, game pad, satellite dish, scanner, or the like. These and other input devices are often connected to the processing unit <b>120</b> through a user input interface <b>160</b> that is coupled to the system bus <b>121</b>, but may be connected by other interface and bus structures, such as a parallel port, game port or a universal serial bus (USB). A monitor <b>191</b> or other type of display device is also connected to the system bus <b>121</b> via an interface, such as a video interface <b>190</b>. In addition to the monitor, computers may also include other peripheral output devices such as speakers <b>197</b> and printer <b>196</b>, which may be connected through an output peripheral interface <b>195</b>. Further, a camera <b>163</b> (such as a digital/electronic still or video camera, or film/photographic scanner) capable of capturing a sequence of images <b>164</b> can also be included as an input device to the personal computer <b>110</b>. While just one camera is depicted, multiple cameras could be included as input devices to the personal computer <b>110</b>. The images <b>164</b> from the one or more cameras are input into the computer <b>110</b> via an appropriate camera interface <b>165</b>. This interface <b>165</b> is connected to the system bus <b>121</b>, thereby allowing the images to be routed to and stored in the RAM <b>132</b>, or one of the other data storage devices associated with the computer <b>110</b>. However, it is noted that image data can be input into the computer <b>110</b> from any of the aforementioned computer-readable media as well, without requiring the use of the camera <b>163</b>.

P-0070[0070] The computer <b>110</b> may operate in a networked environment using logical connections to one or more remote computers, such as a remote computer <b>180</b>. The remote computer <b>180</b> may be a personal computer, a server, a router, a network PC, a peer device or other common network node, and typically includes many or all of the elements described above relative to the computer <b>110</b>, although only a memory storage device <b>181</b> has been illustrated in FIG. 7. The logical connections depicted in FIG. 7 include a local area network (LAN) <b>171</b> and a wide area network (WAN) <b>173</b>, but may also include other networks. Such networking environments are commonplace in offices, enterprise-wide computer networks, intranets and the Internet.

P-0071[0071] When used in a LAN networking environment, the computer <b>110</b> is connected to the LAN <b>171</b> through a network interface or adapter <b>170</b>. When used in a WAN networking environment, the computer <b>110</b> typically includes a modem <b>172</b> or other means for establishing communications over the WAN <b>173</b>, such as the Internet. The modem <b>172</b>, which may be internal or external, may be connected to the system bus <b>121</b> via the user input interface <b>160</b>, or other appropriate mechanism. In a networked environment, program modules depicted relative to the computer <b>110</b>, or portions thereof, may be stored in the remote memory storage device. By way of example, and not limitation, FIG. 7 illustrates remote application programs <b>185</b> as residing on memory device <b>181</b>. It will be appreciated that the network connections shown are exemplary and other means of establishing a communications link between the computers may be used.

P-0072[0072] The exemplary operating environment having now been discussed, the remaining part of this description section will be devoted to a description of the program modules embodying the object selection process performed by the host computer. Generally, referring to FIG. 8, the object selection process begins by inputting the raw sensor readings provided in an orientation message forwarded by the base station (process action <b>800</b>). These sensor readings are normalized (process action <b>802</b>) based on factors computed in a calibration procedure, and then combined to derive the full 3D orientation of the pointer (process action <b>804</b>). Then, the 3D location of the pointer in the environment in which it is operating is computed (process action <b>806</b>). Once the orientation and location of the pointer is known, the object selection process determines what the pointer is being pointed at within the environment (process action <b>808</b>), so that the object can be affected in some manner. The process then waits for another orientation message to be received (process action <b>810</b>) and repeats process actions <b>800</b> through <b>810</b>.

P-0073[0073] Knowing what object a user is pointing at allows the pointer to be used as a user interface (UI) where the user points at objects in the environment and controls the selected object via the button on the device or some other method. For example, if the object is a lamp or piece of electronics equipment, the user might point the pointer at the item so as to select it. The user can then control the selected object, such as turning it on and off by depressing the button on the pointer. This is of course a very simplistic example of how an object can be controlled once selected using the pointer. The processes employed to control a selected object are beyond the scope of the present application, and are instead the subject of a co-pending U.S. patent application entitled “A SYSTEM AND PROCESS FOR CONTROLLING ELECTRONIC COMPONENTS IN A UBIQUITOUS COMPUTING ENVIRONMENT USING MULTIMODAL INTEGRATION”, having a Serial Number of ______, and a filing date of ______. It is in this co-pending application that the optional gyroscope is employed for the purpose of recognizing certain gesturing with the pointer. As for the present object selection process, the foregoing program modules and their ancillary procedures will now be described in more detail.

P-0074[0074] The object selection process requires a series of correction and normalization factors to be established before it can compute the orientation of the pointer from the raw sensor values provided in an orientation message. These factors are computed in a calibration procedure. The first part of this calibration procedure involves computing correction factors for each of the outputs from the magnetometer representing the three axes of the 3-axis device, respectively. Correction factors are needed to relate the magnetometer outputs, which are a measure of deviation from the direction of the Earth's magnetic field referred to as magnetic north (specifically the dot product of the direction each axis of the magnetometer is pointed with the direction of magnetic north), to the coordinate frame established for the environment in which the pointer is operating. The coordinate frame of the environment is arbitrary, but must be pre-defined and known to the object selection process prior to performing the calibration procedure. For example, if the environment is a room in a building, the coordinate frame might be establish such that the origin is in a corner with one axis extending vertically from the corner, and the other two horizontally along the two walls forming the corner.

P-0075[0075] Referring to FIG. 9, the magnetometer correction factors are computed by the user first indicating to the object selection process that a calibration reading is being taken, such as for instance, by the user putting the object selection process running on the host computer into a magnetometer correction factor calibration mode (process action <b>900</b>). The user then points the pointer in a prescribed direction within the environment, with the device being held in a known orientation (process action <b>902</b>). For example, for the sake of the user's convenience, the pre-determined direction might be toward a wall in the front of the room and the known orientation horizontal, such that a line extending from the end of the pointer intersects the front wall of the room substantially normal to its surface. If the pre-defined coordinate system of the environment is as described in the example above, then the pointer would be aligned with the axes of this coordinate system, thus simplifying the correction and normalization factor computations. The user activates the switch on the pointer when the device is pointed in the proper direction with the proper orientation (process action <b>904</b>). Meanwhile, the object selection process requests the pointer provide an orientation message in the manner discussed previously (process action <b>906</b>). The object selection process then inputs the orientation message transmitted by the pointer to determine if the switch status indicator indicates that the pointer's switch has been activated (process action <b>908</b>). If not, the requesting and screening procedure continues (i.e., process actions <b>906</b> and <b>908</b> are repeated). However, when an orientation message is received in which the button indicator indicates the button has been depressed, then it is deemed that the sensor readings contained therein reflect those generated when the pointer is pointing in the aforementioned prescribed direction and with the prescribed orientation. The magnetometer readings contained in the orientation message reflect the deviation of each axis of the magnetometer from magnetic north within the environment and represent the factor by which each subsequent reading is offset to relate the readings to the environment's coordinate frame rather than the magnetometer axes. As such, in process action <b>910</b>, the magnetometer reading for each axis is designated as the magnetometer correction factor for that axis.

P-0076[0076] In addition to computing the aforementioned magnetometer correction factors, factors for range-normalizing the magnetometer readings are also computed in the calibration procedure. Essentially, these normalization factors are based on the maximum and minimum outputs that each axis of the magnetometer is capable of producing. These values are used later in a normalization procedure that is part of the process for determining the orientation of the pointer. A simple way of obtaining these maximum and minimum values is for the user to wave the pointer about while the outputs of the magnetometer are recorded by the host computer. Specifically, referring to FIG. 10, the user would put the object selection process running on the host computer in a magnetometer max/min calibration mode (process action <b>1000</b>), and then wave the pointer about (process action <b>1002</b>). Meanwhile, the object selection process requests the pointer to provide orientation messages in the normal manner (process action <b>1004</b>). The object selection process then inputs and records the magnetometer readings contained in each orientation message transmitted by the pointer (process action <b>1006</b>). This recording procedure (and presumably the pointer waving) continues for a prescribed period of time (e.g., about 1 minute) to ensure the likelihood that the highest and lowest possible readings for each axis are recorded. Once the recording procedure is complete, the object selection process selects the highest reading recorded for each axis of the magnetometer and designates these levels as the maximum for that axis (process action <b>1008</b>). Similarly, the host computer selects the lowest reading recorded for each axis of the magnetometer and designates these levels as the minimum for that axis (process action <b>1010</b>). Normalization factors are then computed via standard methods and stored for each magnetometer axis that convert the range represented by the maximum and minimum levels to a normalized range between 1.0 and −1.0 (process action <b>1012</b>). These magnetometer normalization factors are used to normalize the actual readings from the magnetometer by converting the readings to normalized values between 1.0 and −1.0 during a normalization procedure to be discussed shortly. It is noted that the maximum and minimum values for an axis physically correspond to that axis of the magnetometer being directed along magnetic north and directly away from magnetic north, respectively. It is noted that while the foregoing waving procedure is very simple in nature, it worked well in tested embodiments of the object selection system and provided accurate results.

P-0077[0077] Factors for range-normalizing (in [−1, 1]) the accelerometer readings are also computed in the calibration procedure. In this case, the normalization factors are determined using the accelerometer output normalization procedures applicable to the accelerometer used, such as the conventional static normalization procedure used in tested embodiments of the present object selection process.

P-0078[0078] Once the calibration procedure is complete, the object selection process is ready to compute the orientation of the pointer each time an orientation data message is received by the host computer. The orientation of the pointer is defined in terms of its pitch, roll and yaw angle about the respective x, y and z axes of the environment's pre-defined coordinate system. These angles can be determined via various sensor fusion processing schemes that essentially compute the angle from the readings from the accelerometer and magnetometer of the pointer. Any of these existing methods could be used, however a simplified procedure was employed in tested versions of the present object selection system. In this simplified procedure, the yaw angle is computed using the recorded values of the magnetometer output. Even though the magnetometer is a 3-axis device, the pitch, roll and yaw angles cannot be computed directly from the recorded magnetometer values contained in the orientation data message. The angles cannot be computed directly because the magnetometer outputs a value that is the dot-product of the direction of each magnetometer sensor axis against the direction of magnetic north. This information is not sufficient to calculate the pitch, roll, and yaw of the device. However, it is possible to use the accelerometer readings in conjunction with the magnetometer outputs to compute the orientation. Specifically, referring to FIGS. 11A and B, the first action in the procedure is to normalize the magnetometer and accelerometer values received in the orientation message using the previously computed normalization factors to simplify the calculations (process action <b>1100</b>). The pitch and roll angles of the pointer are then computed from the normalized x-axis and y-axis accelerometer values, respectively (process action <b>1102</b>). Specifically, the pitch angle=−arcsin(a₁), where a₁is the normalized output of the accelerometer approximately corresponding to the rotation of the pointer about the x-axis of the environment's coordinate system, and the roll angle=−arcsin(a₂) where a₂is the normalized output of the accelerometer approximately corresponding to the rotation of the pointer about the y-axis of the environment's coordinate system. Next, these pitch and roll values are used to refine the magnetometer readings (process action <b>1104</b>). Then, in process action <b>1106</b>, the previously computed magnetometer correction factors are applied to the refined magnetometer values. Finally, the yaw angle is computed from the refined and corrected magnetometer values (process action <b>1108</b>).

P-0079[0079] Specifically, the range-normalized accelerometer values representing the pitch and roll are used to establish the rotation matrix R_a1,a2,0, which represents a particular instance of the Euler angle rotation matrix R_θ_{<sub2>x</sub2>}_{, θ}_{<sub2>y</sub2>}_{, θ}_{<sub2>z </sub2>}that defines the composition of rotations about the x, y and z axes of the prescribed environmental coordinate system. Next, a 3-value vector m is formed from the range-normalized values output by the magnetometer. The pitch and roll then corrects the output of the magnetometer as follows:

<i>m</i>_corected<i>=R</i>_a1,a2_{<sub2>y</sub2>}₀<i>m</i>  (1)

P-0080[0080] Let N be the output of the magnetometer when the pointer is held at (pitch, roll, yaw)=(0, 0, 0), as determined in the calibration procedure. Then, project onto the ground plane and normalize as follows: <maths id="MATH-US-00001" num="1"><math overflow="scroll"><mtable><mtr><mtd><mrow><mrow><mrow><msub><mi>m</mi><mi>projected</mi></msub><mo>=</mo><mrow><msup><mrow><mo>[</mo><mrow><mn>1</mn><mo></mo><mstyle><mtext> </mtext></mstyle><mo></mo><mn>1</mn><mo></mo><mstyle><mtext> </mtext></mstyle><mo></mo><mi>o</mi></mrow><mo>]</mo></mrow><mi>T</mi></msup><mo></mo><mi>m</mi></mrow></mrow><mo>,</mo><mrow><msub><mi>N</mi><mi>projected</mi></msub><mo>=</mo><mrow><msup><mrow><mo>[</mo><mrow><mn>1</mn><mo></mo><mstyle><mtext> </mtext></mstyle><mo></mo><mn>1</mn><mo></mo><mstyle><mtext> </mtext></mstyle><mo></mo><mi>o</mi></mrow><mo>]</mo></mrow><mi>T</mi></msup><mo></mo><mi>N</mi></mrow></mrow></mrow><mo></mo><mstyle><mtext /></mstyle><mo></mo><mrow><mrow><msub><mi>m</mi><mrow><mrow><mi>normalized</mi><mo>&amp;</mo></mrow><mo></mo><mi>projected</mi></mrow></msub><mo>=</mo><mfrac><msub><mi>m</mi><mi>projected</mi></msub><mrow><mo></mo><msub><mi>m</mi><mi>projected</mi></msub><mo></mo></mrow></mfrac></mrow><mo>,</mo><mrow><msub><mi>N</mi><mrow><mrow><mi>normalized</mi><mo>&amp;</mo></mrow><mo></mo><mi>projected</mi></mrow></msub><mo>=</mo><mfrac><msub><mi>M</mi><mi>projected</mi></msub><mrow><mo></mo><msub><mi>N</mi><mi>projected</mi></msub><mo></mo></mrow></mfrac></mrow></mrow></mrow></mtd><mtd><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow></mtd></mtr></mtable></math><img file="US20030193572A1-20031016-M00001.TIF" id="EMI-M00001" he="33.1128" wi="216.027" img-format="tif" img-content="mf" /><attachments><attachment idref="MATHEMATICA-00001" attachment-type="nb" file="US20030193572A1-20031016-M00001.NB" /></attachments></maths>

P-0081[0081] And finally, the yaw angle is found as follows:

<i>yaw=sign</i>(<i>m</i>_np<i>×N</i>_np)cos⁻¹(<i>m</i>_np^T<i>n</i>_np)  (3)

P-0082[0082] The computed yaw angle, along with the pitch and roll angles derived from the accelerometer readings are then tentatively designated as defining the orientation of the pointer at the time the orientation data message was transmitted by the device (process action <b>1110</b>).

P-0083[0083] It is noted that there are a number of caveats to the foregoing procedure. First, accelerometers only give true pitch and roll information when the pointer is motionless. This is typically not an issue except when the orientation computations are being used to determine if the pointer is being pointed directly at an object. In such cases, the problem can be avoided by relying on the orientation information only when the device is deemed to have been motionless when the accelerometer readings were captured. To this end, the orientation (i.e., pitch, roll and yaw) of the pointer is computed via the foregoing procedure for the last orientation message received. This is then compared to the orientation computed for the next to last orientation message received, to determine if the orientation of the pointer has changed significantly between the orientation messages. If the orientation of the pointer did not change significantly, then this indicates that the pointer was motionless prior to the transmission of the last orientation message. If the pointer was deemed to have been motionless, then the orientation information is used. However, if it is found that a significant change in the orientation occurred between the last two orientation messages received, it is deemed that the pointer was in motion and the orientation information computed from the last-received orientation message is ignored. Secondly, magnetic north can be distorted unpredictably in indoor environments and in close proximity to large metal objects. However, in practice, while it was found that for typical indoor office environments magnetic north did not always agree with magnetic north found outdoors, it was found to be fairly consistent throughout a single room. Thus, since the above-described magnetometer correction factors relate the perceived direction of magnetic north in the environment in which the pointer is operating to the prescribed coordinate system of that environment when the environment is a room, it will not make any difference if the perceived direction of magnetic north within the room matches that in any other room or outdoors, as the orientation of the pointer is computed for that room only. Finally, it should be noted that the foregoing computations will not provide accurate results if the perceived magnetic north in the environment happens to be co-linear to the gravity vector-a situation not likely to occur.

P-0084[0084] The foregoing designation of the pointer's orientation is tentative because it cannot be determined from the accelerometer reading used to compute the roll angle whether the device was in a right-side up, or upside-down position with respect to roll when the accelerometer outputs were captured for the orientation data message. Thus, the computed roll angle could be inaccurate as the computations assumed the pointer was right-side up. Referring now to FIG. 11B, this uncertainty can be resolved by computing the orientation assuming the pointer is right-side up (process action <b>1112</b>) and then assuming the pointer is up-side down (process action <b>1114</b>). Each solution is then used to compute an estimate of what the magnetometer outputs should be given the computed orientation (process actions <b>1116</b> and <b>1118</b>). It is then determined for each case how close the estimated magnetometer values are to the actual values contained in the orientation message (process actions <b>1120</b> and <b>1122</b>). It is next ascertained whether the estimated magnetometer values for the right-side up case are closer to the actual values than the estimated value for the upside-down case (process action <b>1124</b>). If they are, then the pointer is deemed to have been right-side up (process action <b>1126</b>). If, however, it is determined that the estimated magnetometer values for the right-side up case are not closer to the actual values than the estimated value for the upside-down case, then the pointer is deemed to have been up-side down (process action <b>1128</b>). It is next determined if roll angle computed in the tentative rotation matrix is consistent with the deemed case (process action <b>1130</b>). If it is consistent, the tentative rotation matrix is designated as the finalized rotation matrix (process action <b>1134</b>). If, however, the tentative rotation matrix is inconsistent with the minimum error case, then the roll angle is modified (i.e., by 180 degrees) in process action <b>1132</b>, and the modified rotation matrix is designated as the finalized rotation matrix (process action <b>1134</b>).

P-0085[0085] One way to accomplish the foregoing task is to compute the orientation (R) as described above, except that it is computed first assuming the pitch angle derived from the accelerometer output reflects a right-side up orientation of the pointer, i.e., Pitch_{right-side up}=−arcsin(a) where a is the normalized output of the accelerometer approximately corresponding to the rotation of the pointer about the x-axis of the environment's coordinate system. The orientation is then computed assuming the pitch angle derived from the accelerometer output reflects an up-side down orientation of the pointer, i.e., Pitch_{up-side down}=−π+arcsin(a). A separate estimate of what the magnetometer outputs (m*) should be given the orientation computed for the right-side up condition and for the upside down condition are then computed as follows:

<i>m*=R</i>^T<i>N </i>  (4)

P-0086[0086] where N is the direction of magnetic north. m* is the estimated magnetometer output assuming the pointer is in the right-side up condition when R is the orientation computed assuming the pointer was in this condition, whereas m* is the estimated magnetometer output assuming the pointer is in the up-side down condition when R is the orientation computed assuming the pointer was in that condition. The error between the estimated magnetometer outputs (m*) and the actual magnetometer outputs (m) is next computed for both conditions, where the error is defined as (m*−M)^T(m*−m). The pointer orientation associated with the lesser of the two error values computed is deemed to be the actual orientation of the pointer. It is noted that the roll angle derived from the accelerometer output could be used to perform as similar error analysis and determine the actual orientation of the pointer.

P-0087[0087] It is further noted that the 2-axis accelerometer used in the tested versions of the pointer could be replaced with a more complex 3-axis accelerometer, or an additional 1-axis accelerometer or mercury switch oriented in the appropriate direction could be employed, to eliminate the need for the foregoing error computation procedure. This would be possible because it can be determined directly from the “third” -axis readout whether the pointer was right-side up or upside-down with respect to roll. However, this change would add to the complexity of the pointer and must be weighed against the relatively minimal cost of the added processing required to do the error computation procedure.

P-0088[0088] As indicated previously, both the orientation and location of the pointer within the environment in which it is operating are needed to determine where the user is pointing the device. The position of the pointer within the environment can be determined via various methods, such as using conventional computer vision techniques [1] or ultrasonic acoustic locating systems [2, 3]. While these methods, and their like, could be used successfully, they are relatively complex and often require an expensive infrastructure to implement. A simpler, less costly process was developed for tested versions of the present system and will now be described. Specifically, the position of the pointer within the environment is determined with the aid of the two video camera having IR-pass filters. The cameras are calibrated ahead of time to the environment's coordinate system using conventional calibration methods to establish the camera parameters (both intrinsic and extrinsic) that will be needed to determine the 3D position of the pointing end of the pointer from images captured by the cameras. In operation, the aforementioned IR LED of the pointer is flashed for approximately 3 milliseconds at a rate of approximately 15 Hz by the device's microcontroller. Simultaneously, both cameras are recording the scene at 30 Hz. This means that the IR light in the environment is captured in {fraction (1/30)}^thof a second exposures to produce each frame of the video sequence produced each camera. Referring to the time line depicted in FIG. 12, it can be seen that the flash of the IR LED will be captured in every other frame of the video sequence produced by each camera due to the approximately 15 Hz flashing rate. Referring now to FIGS. 13A and B, images depicting the scene at IR frequencies and capturing the flash from the pointer are shown, as produced contemporaneously from each camera. As can be seen, the IR LED flash appears as a bright spot against a background lower intensity IR noise. Referring now to FIG. 14, the procedure for ascertaining the location to the pointer in terms of the pre-defined coordinate system of the environment will be described. First, the image coordinates of the IR LED flash are determined in each contemporaneously captured frame from the cameras that depicts the flash. This is accomplished by first performing a standard subtraction process on a contemporaneously produced pair of frames from each of the cameras (process action <b>1400</b>). The resulting difference images represent the scene with most of the background IR eliminated and the IR LED flash the predominant feature in terms of intensity in the images, as shown in FIGS. 13C and D which depict the scene from the cameras captured in the image of FIGS. 13A &amp; B respectively once the background IR is eliminated via the subtraction method. A standard peak detection procedure is then performed on the difference image computed from each pair of frames produced by each of the cameras (process action <b>1402</b>). This peak detection procedure identifies the pixel in the difference image exhibiting the highest intensity. The image coordinates of this pixel are deemed to represent the location of the pointer in the image (process action <b>1404</b>). Once the image coordinates of the pointer (as represented by the IF LED) are computed from a pair of images produced contemporaneously by each camera, standard stereo image techniques (typically involving triangulation) are employed to determine the 3D location of the pointer in the environment (process action <b>1406</b>).

P-0089[0089] Once the pointer's location and orientation at a given point in time are known it is possible to determine where the user is pointing in anticipation of affecting an object in the vicinity. There are numerous methods that can be used to determine the pointed-to location and to identify the object at or near that location. In tested versions of the present system, a Gaussian blob scheme is employed to accomplish the foregoing task. This entails first modeling all the objects in the environment that it is desired for the user to be able to affect by pointing at it with the pointer, as 3D Gaussian blobs. In other words, the location and extent of the object is modeled as a single 3D Gaussian blob defined by the coordinates of a 3D location in the environment representing the mean μ of the blob and a covariance Σ defining the outside edge of the blob. These multivariate Gaussians are probability distributions that are easily learned from data, and can coarsely represent an object of a given size and orientation.

P-0090[0090] The modeling of the objects of interest in the environment as Gaussian blobs can be accomplished in any conventional manner. In tested versions of the object selection system, two different methods were employed. Referring to FIG. 15, the first involves the user initiating a target training procedure that is part of the object selection process (process action <b>1500</b>), and then holding the button on the pointer down as he or she traces the outline of the object (process action <b>1502</b>). In addition, the user enters information into the process that identifies the object being traced (process action <b>1504</b>). Meanwhile, the target training procedure causes a request to be sent to the pointer directing it to provide an orientation message in the manner described previously (process action <b>1506</b>). The orientation message transmitted by the pointer is inputted (process action <b>1508</b>), and it is determined whether the button state indicator included in the message indicates that the pointer's button is activated (process action <b>1510</b>). If not, process actions <b>1506</b> through <b>1510</b> are repeated. When, it is discovered that the button state indicator indicates the button is activated, then in process action <b>1512</b>, the location of the pointer (as represented by the IR LED) is computed and recorded in the manner described above using the output from the video cameras. Next, a request is sent to the pointer directing it to provide an orientation message, and it is input when received (process action <b>1514</b>). It is then determined whether the button state indicator still indicates that the pointer's button is activated (process action <b>1516</b>). If so, process actions <b>1512</b> through <b>1516</b> are repeated. If, however, it is discovered that the button state indicator indicates the button is no longer activated, then it is deemed that the user has completed the tracing task and in process action <b>1518</b>, a Gaussian blob is defined for the series of locations recorded during the tracing. Specifically, for recorded locations xi, the mean and covariance of these points is computed as follows: <maths id="MATH-US-00002" num="2"><math overflow="scroll"><mtable><mtr><mtd><mtable><mtr><mtd><mrow><mi>μ</mi><mo>=</mo><mrow><mfrac><mn>1</mn><mi>n</mi></mfrac><mo></mo><mrow><munder><mo>∑</mo><mi>i</mi></munder><mo></mo><msub><mi>x</mi><mi>i</mi></msub></mrow></mrow></mrow></mtd></mtr><mtr><mtd><mrow><mo>∑</mo><mrow><mo>=</mo><mrow><mfrac><mn>1</mn><mi>n</mi></mfrac><mo></mo><mrow><munder><mo>∑</mo><mi>i</mi></munder><mo></mo><mrow><mrow><mo>(</mo><mrow><msub><mi>x</mi><mi>i</mi></msub><mo>-</mo><mi>μ</mi></mrow><mo>)</mo></mrow><mo></mo><msup><mrow><mo>(</mo><mrow><msub><mi>x</mi><mi>i</mi></msub><mo>-</mo><mi>μ</mi></mrow><mo>)</mo></mrow><mi>T</mi></msup></mrow></mrow></mrow></mrow></mrow></mtd></mtr></mtable></mtd><mtd><mrow><mo>(</mo><mn>5</mn><mo>)</mo></mrow></mtd></mtr></mtable></math><img file="US20030193572A1-20031016-M00002.TIF" id="EMI-M00002" he="45.1332" wi="216.027" img-format="tif" img-content="mf" /><attachments><attachment idref="MATHEMATICA-00002" attachment-type="nb" file="US20030193572A1-20031016-M00002.NB" /></attachments></maths>

P-0091[0091] The computed mean and covariance define the Gaussian blob representing the traced object. This procedure can then be repeated for each object of interest in the environment.

P-0092[0092] An alternate, albeit somewhat more complex, method to model the objects of interest in the environment as Gaussian blobs was also employed in tested versions of the object selection process. This method has particular advantage when an object of interest is out of the line of sight of one or both of the cameras, such as if it were located near a wall below one of the cameras. Since images of the object from both cameras are needed to compute the pointers location, and so the points xi in the tracing procedure, the previously described target training method cannot be used unless both of the cameras can “see” the object.

P-0093[0093] Referring to FIG. 16, this second target training method involves the user first initiating the training procedure (process action <b>1600</b>), and then entering information identifying the object to be modeled (process action <b>1602</b>). The user then repeatedly (i.e., at least twice) points at the object being modeled with the pointer and depresses the device's button, each time from a different position in the environment within the line of sight of both cameras (process action <b>1604</b>). When the user completes the foregoing action at the last pointing location, he or she informs the host computer that the pointing procedure is complete (process action <b>1606</b>). Meanwhile, the training procedure causes a request to be sent to the pointer directing it to provide an orientation message in the manner described previously (process action <b>1608</b>). The orientation message transmitted by the pointer is inputted (process action <b>1610</b>), and it is determined whether the button state indicator included in the message indicates that the pointer's button is activated (process action <b>1612</b>). If not, process actions <b>1608</b> through <b>1612</b> are repeated. When, it is discovered that the button state indicator indicates the button is activated, then in process action <b>1614</b>, the orientation and location of the pointer are computed and recorded using the procedures described previously. It is next determined if the user has indicated that the pointing procedure is complete (process action <b>1616</b>). If not, process actions <b>1608</b> through <b>1616</b> are then repeated as appropriate. If, however, the pointing procedure is complete, a ray that projects through the environment from the pointer's location along the device's orientation direction is established for each recorded pointing location (process action <b>1618</b>). Next, the coordinates of the point in the environment representing the mean of a Gaussian blob that is to be used to model the object under consideration, are computed (process action <b>1620</b>). This is preferably accomplished as follows. For each pointing location:

<i>x</i>_i<i>+s</i>_i<i>w</i>_i=μ  (6)

P-0094[0094] where x_iis the position of the pointer at the i^thpointing location, w_iis the ray extending in the direction the pointer is pointed from the i^thpointing location, and s_iis an unknown distance to the target object. This defines a linear system of equations that can be solved via a conventional least squares procedure to find the mean location that best fits the data.

P-0095[0095] The covariance of the Gaussian blob representing the object being modeled is then established (process action <b>1622</b>). This can be done in a number of ways. First, the covariance could be prescribed or user entered. However, in tested versions of the target training procedure, the covariance of the target object was computed by adding a minimum covariance to the spread of the intersection points, as follows:

Σ=Σ₀+(<i>x</i>_i<i>+s</i>_i<i>w</i>_i−μ)<i>x</i>_i<i>+s</i>_i<i>w</i>_i−μ)^T  (7)

P-0096[0096] It is noted that the aforementioned computations do not take into account that the accuracy in pointing with the pointer is related to the angular error in the calculation of the device's orientation (and so in the ray w_i). Thus, a computed pointing location that is far away from the object being modeled is inherently more uncertain than a computed pointing location which is nearby the target. Accordingly, the foregoing target training procedure can be refined by discounting the more remote pointing location to some degree in defining the Gaussian blob representing an object being modeled. This can be accomplished using a weighted least squares approach, as follows: <maths id="MATH-US-00003" num="3"><math overflow="scroll"><mtable><mtr><mtd><mrow><mrow><mrow><msub><mi>W</mi><mi>i</mi></msub><mo></mo><mrow><mo>(</mo><mrow><msub><mi>x</mi><mi>i</mi></msub><mo>+</mo><mrow><msub><mi>s</mi><mi>i</mi></msub><mo></mo><msub><mi>w</mi><mi>i</mi></msub></mrow></mrow><mo>)</mo></mrow></mrow><mo>=</mo><mrow><msub><mi>W</mi><mi>i</mi></msub><mo></mo><mi>μ</mi></mrow></mrow><mo></mo><mstyle><mtext /></mstyle><mo></mo><mrow><msub><mi>W</mi><mi>i</mi></msub><mo>=</mo><mrow><msup><mrow><mo>(</mo><mfrac><mn>1</mn><mrow><mrow><mi>c</mi><mo></mo><mstyle><mtext> </mtext></mstyle><mo></mo><msub><mover><mi>s</mi><mo>^</mo></mover><mi>i</mi></msub></mrow><mo>+</mo><mi>η</mi></mrow></mfrac><mo>)</mo></mrow><mn>2</mn></msup><mo></mo><mi>I</mi></mrow></mrow></mrow></mtd><mtd><mrow><mo>(</mo><mn>8</mn><mo>)</mo></mrow></mtd></mtr></mtable></math><img file="US20030193572A1-20031016-M00003.TIF" id="EMI-M00003" he="33.1128" wi="216.027" img-format="tif" img-content="mf" /><attachments><attachment idref="MATHEMATICA-00003" attachment-type="nb" file="US20030193572A1-20031016-M00003.NB" /></attachments></maths>

P-0097[0097] where W_iis the weight assigned to the i^thpointing location, ŝ_iis an estimate of the distance to the target object, possibly computed using the previous procedure employing the non-weighted least squares approach, c and η are parameters related to the angular error of the pointer, and I is the identity matrix. As before, Eq. (8) is generated for each pointing location to define a linear system of equations that can be solved via the least squares procedure to find the mean location that best fits the data, but this time taking into consideration the angular error associated with the computed orientation of the pointer.

P-0098[0098] It is noted that the foregoing procedures for computing the mean and covariance of a Gaussian blob representing an object allow the represented shape of the object to be modified by simply adding any number of pointing locations where the pointer is pointed along the body of the target object.

P-0099[0099] Once a Gaussian blob for each object of interest in the environment has been defined, and stored in the memory of the host computer, the pointer can be used to select an object by simply pointing at it. The user can then affect the object, as mentioned previously. However, first, the processes that allow a user to select a modeled object in the environment using the pointer will be described. These processes are preformed each time the host computer receives an orientation message from the pointer.

P-0100[0100] One simple technique for selecting a modeled object is to evaluate the Gaussian distribution at a point nearest the mean of each Gaussian representing an object of interest in the environment which is intersected by the a ray cast by the pointer, along that ray. The likelihood that the pointer is being pointed a modeled object i is then:

<i>l</i>_i<i>=g</i>(<i>x+∥μ</i>_i<i>−x∥w,Σ</i>_i)  (9)

P-0101[0101] where x is the position of the pointer (as represented by the IR LED), w is a ray extending from x in the direction the pointer is pointed, and g(μ;Σ) is the probability distribution function of the multivariate Gaussian. The object associated with the Gaussian blob exhibiting the highest probability l can then be designated as the selected object.

P-0102[0102] Another approach is to project each Gaussian onto a plane normal to either w or μ−x, and then to take the value of the resulting 2D Gaussian at the point where the ray w intersects the plane. This approach can be accomplished as follows. Referring to FIG. 17, the ray that projects through the environment from the pointer's location along the device's orientation direction, is established (process action <b>1700</b>). In addition, a line is defined between the mean point of each of the Gaussian blobs and the pointer's location (process action <b>1702</b>). Next, for each Gaussian blob a plane normal to the line between the blob mean and the pointer's location, or alternately a plane normal to the ray, is then defined (process action <b>1704</b>). Each Gaussian blob is then projected onto the associated plane using standard methods, to define a 2D Gaussian (process action <b>1706</b>). The aforementioned ray is also projected onto each of these planes (process action <b>1708</b>). This projection may be a point if the ray is normal to the plane or a line if it is not normal to the plane. For each projected Gaussian, the likelihood that the pointer is being pointed at the associated object is computed based on how far the origin of the projected Gaussian is from the closest point of projected ray using standard methods (process action <b>1710</b>). Essentially, the shorter the distance between the origin of the projected Gaussian and the closest point of projected ray, the higher the probability that the pointer is being pointed at the object associated with the Gaussian. Thus, in process action <b>1712</b>, the Gaussian blob having the highest probability is identified. At this point the Gaussian blob associated with the highest probability could be designated as the selected object. However, this could result in the nearest object to the direction the user is pointing being selected, even though the user may not actually be intending to select it. To prevent this situation, a thresholding procedure can be performed. Referring to FIG. 17 once again, this thresholding procedure involves determining if the probability computed for the Gaussian blob identified as having the highest probability exceeds a prescribed threshold (process action <b>1714</b>). If the computed probability exceeds the threshold, then the object associated with the Gaussian blob exhibiting the highest probability is designated as being the object the user is pointing at (process action <b>1716</b>). The threshold will vary depending on the environment, but generally should be high enough to ensure an object is actually being pointed at and that the user is not just pointing at no particular object. In this way, the process does not just pick the nearest object. Thus, if it is determined that the computed probability of the Gaussian blob identified as having the highest probability does not exceed the prescribed threshold, then no object is selected and the procedure ends. The foregoing procedure is then repeated upon receipt of the next orientation message, as indicated previously. It is noted that the thresholding procedure can also be applied to the first technique for selecting a modeled object, if desired.

P-0103[0103] It is further noted that the calculation associated with the weighted least squares approach described above can be adopted to estimate the average angular error of the pointer without reference to any ground truth data. This could be useful for correcting the computed pointer orientation direction. If this were the case, then the simpler non-weighted least squares approach could be employed in the alternate target object training procedure, as well as making the object selection process more accurate. The average angular error estimation procedure requires that the pointer be modified by the addition of a laser pointer, which is attached so as to project a laser beam along the pointing direction of the pointer. The user points at the object with the pointer from a position in the environment within the line of sight of both cameras, and depresses the device's button, as was done in the alternate target object training procedure. In this case, this pointing procedure is repeated multiple times at different pointing locations with the user being careful to line up the laser on the same spot on the surface of the target object. This eliminates any error due to the user's pointing accuracy. The orientation and location of the pointer at each pointing location is computed using the procedures described previously. The average angular error is then computed as follows: <maths id="MATH-US-00004" num="4"><math overflow="scroll"><mtable><mtr><mtd><mrow><mrow><munder><mo>∑</mo><mi>i</mi></munder><mo></mo><mfrac><mn>1</mn><mi>n</mi></mfrac></mrow><mo>|</mo><mrow><msup><mi>cos</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mo></mo><mrow><mo>(</mo><mrow><msup><mi>w</mi><mi>T</mi></msup><mo></mo><mfrac><mrow><mi>μ</mi><mo>-</mo><msub><mi>x</mi><mi>i</mi></msub></mrow><mrow><mo></mo><mrow><mi>μ</mi><mo>-</mo><msub><mi>x</mi><mi>i</mi></msub></mrow><mo></mo></mrow></mfrac></mrow><mo>)</mo></mrow></mrow><mo>|</mo></mrow></mtd><mtd><mrow><mo>(</mo><mn>10</mn><mo>)</mo></mrow></mtd></mtr></mtable></math><img file="US20030193572A1-20031016-M00004.TIF" id="EMI-M00004" he="24.01245" wi="216.027" img-format="tif" img-content="mf" /><attachments><attachment idref="MATHEMATICA-00004" attachment-type="nb" file="US20030193572A1-20031016-M00004.NB" /></attachments></maths>

P-0104[0104] wherein i refers to the pointing location in the environment, n refers to the total number of pointing locations, w is a ray originating at the location of the pointing device and extending in a direction defined by the orientation of the device, x is the location of the pointing device, and μ is the location of the mean of the Gaussian blob representing the target object

P-0105[0105] Without reference to ground truth position data, this estimate of error is a measure of the internal accuracy and repeatability of the pointer pointing and target object training procedures. This measure is believed to be more related to the overall performance of the pointer than to an estimate of the error in absolute position and orientation of the device, which is subject to, for instance, the calibration of the cameras to the environment's coordinate frame.

P-0106[0106] References

P-0107[0107] 1. Jojic, N., B. Brummitt, B. Meyers, S. Harris, and T. Huang, Estimation of Pointing Parameters in Dense Disparity Maps. in <i>IEEE Intl. Conf. on Automatic Face and Gesture Recognition</i>, (Grenbole, France, 2000).

P-0108[0108] 2. Priyantha, N. B., Anit Chakraborty, Hari Balakrishnan, The Cricket Location-Support System. in <i>Proceedings </i>6<i>th ACM MOBICOM</i>, (Boston, Mass., 2000).

P-0109[0109] 3. Randell, C., and Henk Muller, Low Cost Indoor Positioning System. in <i>Ubicomp </i>2001<i>: Ubiquitous Computing</i>, (Atlanta, Ga., 2001), Springer-Verlag, 42-48.