Scanning head for scanning documents

The invention relates to a device with which it is possible to optically scan a template in order to be able to create a data-technical image of the template with respect to brightness or color.

Devices for the optical scanning of templates for conversion into electronic signals are used in so-called scanners, for example in so-called laser scanners for barcode detection, as are used in cash registers for recording article numbers, in swipe scanners, as are customary in fax machines, in hand scanners and flatbed scanners, how they are used to record the template and to store a technical image of the template in computers for further processing of images, drawings or texts of the template. Devices for optically scanning originals are also used in photocopiers to image the entire original onto a photosensitive drum.

In accordance with the large number of technical designs of scanners, there are a number of common methods for scanning the original. Two basic principles are used predominantly; namely, firstly the scanning of the original by means of a bundled light beam, preferably in the form of laser scanners, where the light beam is usually deflected by a rotating polygon mirror so that it sweeps over the area to be scanned, and secondly the optical recording of the original by a camera, currently preferably one CCD camera. Solutions that implement the second basic principle can be divided into two groups, the first of which is characterized in that an electronic video camera is used to throw a two-dimensional image of the original onto a surface image sensor and this is scanned by means of electronics, whereby the brightness and color information of so-called picture elements or pixels of the template, divided into rows and columns according to the picture elements of the sensor, is made available serially for further processing, while in the second group in an electronic line camera only a one-dimensional image of the template, i.e. one line the template, thrown onto a line sensor and this is scanned by electronics, whereby the brightness and color information of the picture elements or pixels of the template corresponding to the picture elements of the sensor is only serially divided into columns for further processing, while the division into lines must be carried out by a relative movement between the template and the line camera.

The relative movement of the sensor line over the template is achieved with the hand scanner by quietly and evenly pulling the hand scanner lying on the template over the template. Illumination in the form of a narrow light strip produced by light-emitting diodes sweeps over the original, the light reflected from the original, which contains the color and brightness information, is projected onto the CCD line sensor by an optical system consisting of mirrors and lenses fixed in the hand scanner, so that it can evaluate a line of the template. Folding the beam path with the optics allows a relatively long line, for example 4 inches long, to be mapped onto a relatively short sensor and small fluctuations in distance to be compensated for by a relatively large depth of field. A roller that rolls on the template when the hand scanner is pulled helps, on the one hand, to achieve a straightforward and straight-edged relative movement of the hand scanner to the template, on the other hand, the angle of rotation of the roller is detected and evaluated by incremental encoders. The relative position of each line entered on the template can also be determined in this way.

In continuous scanners, as are often used in fax machines, the roller rolling on the original is driven, so that the relative movement is caused by the original being pulled through the scanner.

In flatbed scanners, the original with the side to be scanned lies on a glass plate, while on the other side of this glass plate, a unit consisting of lighting, optics and CCD line sensor corresponding to the hand scanner is moved on a guide parallel to the glass plate without being tilted by a drive.

In the case of photocopiers, there are preferably two methods for imaging an original on a photosensitive drum, namely firstly a synchronous movement of the original and drum, in which a strip-shaped region of the original which is narrow in the longitudinal direction of the original and spans the entire width of the original onto a narrow strip of the original Cylinder can be imaged sharply, wherein the strip-shaped area scans the entire length of the original and is imaged on the circumference of the cylinder by the synchronous movement of the original and the cylinder, and secondly a scanning of the original via a system of two mirrors, the first mirror extending over the full length of the Template, the second mirror only moves half as long, and the ray path is guided that the distance between the original and the imaging optics for projecting the original onto the drum rotating synchronously with the linear movement of the mirrors, measured along the beam path, remains constant and so the original is sharply focused on by a narrow strip-shaped region which moves over the length of the original the surface of the drum is shown.

Scanners are also known which presuppose or force a cylindrical shape of the original in order to realize the scanning of the original by rotating the illumination, imaging optics and sensor about an axis.

EP 0 670 555 A1 shows that a surface sensor can also be moved with respect to a surface and how the data-technical image of the surface can then be obtained and processed. A design designed as a pen moves over the surface of the template by hand.

EP 0 164 713 A1 shows how the distance of a sensor line from a flat template to be scanned can be kept constant in that a rolling body at the end of a bar embodying this distance next to the template on a template parallel to and at a distance from the rolling radius of the Roll body located path is guided, while the other end of the rod is guided up and down by a linear guide. This means that good scanning of the original can only be achieved with relatively complex guides and a large construction volume if it can be used under a guideway which, viewed from the sensor line, is still behind (below) the surface of the original to be scanned, which excludes scanning which scanner should be placed on the template.

DE - A - 32 16 736 shows a device for deflecting and for directing a received radiation, in which a mirror is attached to a carrier. The carrier is arranged on two points, which run on curved paths with different rotation factors at the same time, the mirror being rotated and displaced at the same time (see in particular Figure 5).

The invention has the task of imaging the surface of the template on a line sensor in a small and inexpensive to manufacture device located on a flat template in a fixed position so that for the individual lines of the template a sufficiently constant distance between the template and for a sharp image Optics and between optics and line sensor is observed. The continuous reading of the information from the line sensor is intended to provide a data-technical image of the entire area of ​​the surface of the original, which is to be scanned, for further processing. The light should be guided in such a way that a sufficiently bright and high-contrast image is created on the line sensor from the surface, which is not disturbed by reflections from components of the device or the surface of the original, without the space required for accommodating lighting and imaging optics requires the use of an unwieldy housing. Furthermore, an implementation of the invention should allow an inexpensive and robust mechanical construction.

The object is achieved according to the invention by a device according to claim 1. Refinements are preferably found in the subclaims.

A particularly favorable embodiment of the invention is achieved in that a line sensor, an imaging optics and a lighting device in a fixed arrangement on an optics carrier combined to form a mechanical part that can be moved with respect to a template so that points of the optical axis of the imaging optics are on a move v-shaped path, so that the distance between the original and the line sensor when scanned remains essentially the same measured along the optical axis. Surprisingly, almost equidistant scanning with such a device is only possible if the selection of the dimensioning parameters, such as the length of the square legs, the distance from the template and the angles between the joint legs, is narrowly limited, with extremely large errors occurring even with only slight deviations.

Instead of a line sensor, a sensor drum can also be selected, the axis of rotation of which is fixed in the optics carrier with respect to the imaging optics and the illumination device. The scanning head thus designed can also be used for photocopying machines with a non-moving original 10 in order to enable a design with a small footprint.

In principle, a device according to the invention can be implemented with linear guides. One guide can lie in the plane of the template, the second in an inclined, preferably vertical plane. The movement of points of the optical axis between the linear guides is V-shaped, that of the linear guides of course linear. However, the production of linear guides is complex, small play of the guides is difficult to achieve and the friction to be overcome is relatively large. A particularly favorable embodiment of the invention is achieved with the use of a four-bar linkage, the four sides of which are supported by two spherical plain bearings which are fixedly positioned in a housing of the device with respect to the template, by two arms mounted in these spherical plain bearings and by an optics carrier on which the both arms are supported in spherical bearings, are defined.

While the motion control that can be achieved by a quadrilateral joint can also be simulated by other mechanical solutions, for example by shaped tracks for the two hinge points or other points of the movable optics carrier, the use of four pivot bearings in the joints results in a very inexpensive solution with high precision and stability with low mechanical friction.

In comparison to the previously known solutions for flat templates, the invention allows particularly small designs to be achieved. For example, scanners and photocopiers with moving optics, which are realized either by means of moving mirror systems or by moving imaging optics, require dimensions that clearly exceed the original size.

Dimensioning the dimensions according to the invention allows a largely free definition of important reference dimensions, such as the distance of all parts from the template, the angular range for the relative inclination of the optical axis to the template and the width of the template to be scanned, and achieves slight deviations from the optics to the Line sensor sharp lines from the level of the original and thus a small required depth of field. In this way, the clear diameter of the optics can be chosen to be relatively large, as a result of which the blurring of the image produced by diffraction on the optics is reduced and the light beam imaged by the original on the line sensor is broadened. This means that more brightness is available on the line sensor. This can be used to increase the scanning speed and / or to operate the lighting device with a lower light output.

A favorable design of the invention is achieved in that the light output required for illumination is focused on the template by the same optics that also map the template onto the sensor. By means of an offset optical axis of the illuminating beam and mirror, it can be achieved that the illuminating beam hits the original at an angle which leads to the fact that only backscattered, but not reflected light hits the line sensor. In this case, a narrow, but at least the line length, light spot, a so-called light bar, can be achieved on the template by means of suitable lenses or mirrors in the beam path, for example by cylindrical lenses or curved mirrors.

By suitable dimensioning of the mirrors, the optics carrier can be designed in such a way that it represents a box tapering towards the template, which, including its possible movements, occupies a space that is not or at least not significantly wider than the template and is mechanically very stable.

In terms of production technology, it is particularly favorable if light sources serving for illumination, for example one or more light-emitting diodes, can be attached to a circuit board together with the line sensor, for example next to the line sensor.

A particularly small design can be achieved if the beam path between the optics and the line sensor is folded. For example, conventional line sensors have housing dimensions of 10 mm by 40 mm. With a line length of, for example, 20 mm, the line sensor is twice as long, so that when the beam path is not folded, the thickness of the housing is over 40 mm. A reduction in the dimensions of the line sensor is only possible to a limited extent because the sensor areas also become smaller and the required amounts of light and image sharpness would have to increase.

The illuminating beam can also be included in the folded beam path, so that the light sources used for illumination can continue to be arranged next to the line sensor. However, it is also possible to choose the reflecting mirror so narrow that the illuminating beam passes it by the side, that is, it does not run folded until it strikes the optics.

Further favorable design options for devices according to the invention can be found in the figures and the table.

The figures show<dl id="dl0001" compact="compact"><dt>Figure 1:</dt><dd>Overview of the geometric arrangement;</dd><dt>Figure 2:</dt><dd>v-shaped sheet;</dd><dt>Figure 3:</dt><dd>Position of the position which is imaged sharply on the sensor;</dd><dt>Figure 4:</dt><dd>Arrangement with folded beam path;</dd><dt>Figure 5:</dt><dd>Overview with folded beam path;</dd><dt>Figure 6:</dt><dd>Representation of geometric optics;</dd><dt>Figure 7:</dt><dd>Representation of the Bezier curve L3m as a function of L1m;</dd><dt>Figure 8:</dt><dd>Section perpendicular to the plane of representation of Figure 1;</dd><dt>Figure 9:</dt><dd>Illumination with light beam passing through the optics using mirrors;</dd><dt>Figure 10:</dt><dd>Change the scanning angle.</dd></dl>

<b>Figure 1</b> shows a particularly favorable embodiment of the invention using a four-bar linkage in a schematic representation and an arbitrary position.

The quadrilateral joint 28 lies in the representation plane. A description of the geometry in two-dimensional Cartesian coordinates X and Y is therefore sufficient. Accordingly, the points Pn with n = 0.1, ..., 9 are assigned the reference symbols 0.1, ..., 9 and have the X coordinates Pnx and the Y coordinates Pny. The quadrilateral joint comprises the two articulation points 1 and 2, which are fixed with respect to the template 10, and the movable articulation points 3 and 4. The distance 21 between points 1 and 3 is denoted by L1, the distance 22 between points 2 and 4 with L2, the distance 23 between points 3 and 4 with L3 and the distance 24 between points 1 and 4 with L4. The axes of rotation of the four-bar linkage 28 are located at the hinge points 1 to 4 and are perpendicular to the plane of representation. Likewise, the template 10, its lines and the line sensor 13 are arranged perpendicular to the display plane.

To simplify the mathematical representation, the reference point 0 of the coordinate system (X, Y) is arbitrarily placed in the middle between the articulated points 1 with the coordinates (P1x, P1y = 0) and 2 with the coordinates (P2x = -P1x, P2y = 0) and the X-axis 29 of the coordinate system are placed arbitrarily through points 1 and 2.

The center of the route from hinge point 3 to hinge point 4 is designated as point 6, the point closer to the template with the distance 31, also referred to as L5, to this route in point 6 is designated as point 7. Point 7 represents the point from which outgoing light within the light bundle 19, 20 with the optical axis 25 is focused by the optics 11 onto the line sensor 13.

The side of the template 10 to be scanned facing the optics 11 is aligned parallel to the X-axis 29 of the coordinate system, the middle line of the template has the position 5. The optics 11 and line sensor 13 have a fixed position with respect to the distance from point 3 to point 4, are centered and perpendicular to the perpendicular to this line. The coordinates of the points n with n = (0,1,2, ...) are designated in the illustration with (Pnx, Pny), where Pnx represents the X coordinate and Pny the Y coordinate in the coordinate system.

The angle α is that between the distance from hinge point 2 to hinge point 1 and that from hinge point 2 to hinge point 4, the angle γ is that between the distance from hinge point 1 to hinge point 2 and that from hinge point 1 to hinge point 4, the angle β that between the distance from hinge point 1 to hinge point 4 and that from hinge point 1 to hinge point 3, the angle ε is that between the distance from hinge point 1 to hinge point 2 and that from hinge point 3 to hinge point 4, thus also that between the optical axis 25 from point 7 to point 6 and the plumb line on the template 10.

By choosing length 21 (L1) equal to length 22 (L2), the coordinates and angles can be calculated depending on the angle α, for example:<maths id="math0001" num=""><math display="block"><mrow><mtext>P4x = P2x - L1 * cos α</mtext></mrow></math><img file="EP1101351B1_D0001.tif" /></maths><maths id="math0002" num=""><math display="block"><mrow><mtext>P4y = P2y + L1 * sin α</mtext></mrow></math><img file="EP1101351B1_D0002.tif" /></maths><maths id="math0003" num=""><math display="block"><mrow><msup><mrow><mtext>L4 = ((P4y - P1y)</mtext></mrow><mrow><mtext>2</mtext></mrow></msup><msup><mrow><mtext> + (P4x - P1x)</mtext></mrow><mrow><mtext>2</mtext></mrow></msup><msup><mrow><mtext> )</mtext></mrow><mrow><mtext>1/2</mtext></mrow></msup><mtext>)</mtext></mrow></math><img file="EP1101351B1_D0003.tif" /></maths><maths id="math0004" num=""><math display="block"><mrow><mtext>s = 0.5 * (L1 + L3 + L4)</mtext></mrow></math><img file="EP1101351B1_D0004.tif" /></maths><maths id="math0005" num=""><math display="block"><mrow><msup><mrow><mtext>β = 2 * arctan ((((s - L4) * (s - L1)) / (s * (s - L3)))</mtext></mrow><mrow><mtext>1/2</mtext></mrow></msup><mtext>)</mtext></mrow></math><img file="EP1101351B1_D0005.tif" /></maths><maths id="math0006" num=""><math display="block"><mrow><mtext>γ = arctan ((P4y - P1y) / (P4x - P1x))</mtext></mrow></math><img file="EP1101351B1_D0006.tif" /></maths><maths id="math0007" num=""><math display="block"><mrow><mtext>P3x = P1x + L1 * cos (β + γ)</mtext></mrow></math><img file="EP1101351B1_D0007.tif" /></maths><maths id="math0008" num=""><math display="block"><mrow><mtext>P3y = P1y + L1 * sin (β + γ)</mtext></mrow></math><img file="EP1101351B1_D0008.tif" /></maths><maths id="math0009" num=""><math display="block"><mrow><mtext>P6x = 0.5 * (P3x + P4x)</mtext></mrow></math><img file="EP1101351B1_D0009.tif" /></maths><maths id="math0010" num=""><math display="block"><mrow><mtext>P6y = 0.5 * (P3y + P4y)</mtext></mrow></math><img file="EP1101351B1_D0010.tif" /></maths><maths id="math0011" num=""><math display="block"><mrow><mtext>P7x = P6x + L5 * (P3y - P4y) / L3</mtext></mrow></math><img file="EP1101351B1_D0011.tif" /></maths><maths id="math0012" num=""><math display="block"><mrow><mtext>P7y = P6y + L5 * (P4x - P3x) / L3</mtext></mrow></math><img file="EP1101351B1_D0012.tif" /></maths><maths id="math0013" num=""><math display="block"><mrow><mtext>ε = arctan ((P4y - P3y) / (P4x - P3x))</mtext></mrow></math><img file="EP1101351B1_D0013.tif" /></maths>

The choice of the angle α as an independent variable is arbitrary.

An exemplary embodiment of the invention is shown for P5y = 64, where all dimensions can be exemplary in millimeters. To achieve a different size, all dimensions can be enlarged or reduced proportionally with the same factor. L1 and thus L2 are usually chosen so that the articulation points 1 and 2 are not behind the template, i.e. P1y and P2y are not larger than P5y.

For widths up to 80 mm to be scanned, a version with the data P2 = (24.80, 0.00), L1 = L2 = L3 = 32.00, P5 = (0.00, 64.00) is favorable in terms of mechanical stability. The result is L5 = 94.77.

Resulting variables are shown in Table 1 for certain values ​​of the angle α, the resolution of the representation of the values ​​in the table at the coordinates of point 7 being chosen to be 1/100 mm, while the coordinates of the other points are only with 1 mm resolution are given to roughly describe the position of the points.

In the example shown, the optimization is carried out for a use of the depth of field of the imaging optics of +/- 0.11 mm and a width of 70 mm to be used, corresponding to a range for P7x from -35 mm to +35 mm and for P7y from 64.11 mm to 63.89 mm been.

<b>Figure 2</b> shows the v-shaped course of the point 6 with the above dimensioning, but on a different scale than FIG. 1. If the center position of the line sensor 13 were chosen on the optical axis, the extension of the v-shaped path in the X direction would be smaller, in Y direction more pronounced.

<b>Figure 3</b> shows the resulting path of point 7, which would ideally lie on a straight line, the Y coordinates being shown ten times too high, because otherwise the deviations from the Y coordinate of point 5 would hardly be discernible in the figure.

In one embodiment of the invention, it is achieved to implement a core area of ​​the scanning with a particularly high precision of the image of the original 10 on the line sensor 13 and an edge region adjoining this area on the outside with lower requirements for the precision of the image of the original 10 on the line sensor 13 , the edge region during the scanning to detect coarser structures of the original 10, such as edge detection or to describe the presentation of coarsely coded data, while the core area is scanned at full resolution. In the example shown, the core area includes an area for P7x from -32.2 mm to +32.2 mm with P2y from -64.11 mm to -64.00 mm, while the edge area includes an area for P7x from -35 mm to -32.2 mm and +32.2 mm to + 35 mm with P2y from -64.00 mm to -63.89 mm. In this case, the position of point 5, which is decisive for the positioning of template 10, is optimally at P5x from 64.05 mm to 64.06 mm, as a result of which the distance of point 7 from template 10 in the core area remains less than 0.06 mm and has Chebyshev characteristics while it does not exceed 0.16 mm in the edge area.

Typical line sensors 13, for example SONY ILX503A, have a line length of 2048 pixels, so-called pixels, with a pixel size of 14 µm and a grid spacing of 14 µm. If the line length to be detected by the line sensor of a line of the original perpendicular to the plane 27 is 20.48 mm, linear imaging through the optics 11 results in a necessary magnification of 1.4 or a pixel size of 10 μm by 10 μm related to the original 10 a grid spacing of 10 µm.

The <b>Figure 4</b> 1 represents a section perpendicular to the reference plane of FIG. 1 in points 6 and 7 of an embodiment of the invention. A comparatively long line sensor 13, which in the example has an external mechanical length of approximately 42 mm and a line length of 2048 by 14 μm, that is 28,672 mm can be accommodated in a space-saving manner. Only the light-sensitive part of the line sensor 13 is shown in FIG. What is essential is the lateral displacement of the optics 11 with respect to the template 10 and the use of a mirror 12. The dimensions shown result when the optics 11 with a focal length of 12.5 mm, a diameter of 9.5 mm and a distance between the main planes 17, 18 by 1.8 mm is used. The beam path is shown in the usual international manner. The same is true in Horst Czichos (ed.): Hütte - The basics of engineering, 29. Edition, Berlin et al .: Springer-Verlag, 1989, ISBN 3-540-19077-5, p. 220 ff.

In <b>Figure 5</b> 1 shows the view of the reference plane of FIG. 1 with the configuration shown in FIG. 4 for an arbitrary angle α. The combination of displacement and rotation of the optics carrier, which is movable in relation to the original 10, with the parts optics 11, mirror 12 and line sensor 13, allows a narrower design of the entire scanner head to be achieved compared to a parallel guidance of this mechanism, without the angle between the original 10 and the optical axis 25 deviates as far from the right angle as with a pure rotation of the optics, if for them the axis of rotation should not be further from the template 10 than the hinge points 3 and 4 are at their greatest distance at α = 90 ° or β + γ = 90 °.

FIG. 5 also shows that the mirror 12 has a trapezoidal shape, since the light beam that is effective for imaging a line on the line sensor 13 tapers with increasing distance from the optics 11.

FIGS. 4 and 5 show a relatively small focal length, based on the line length of 20.48 mm of the original. On the one hand, the characteristic dimensions that lead to the definition of points 1 to 7 can all be reduced in the same ratio until the original width to be scanned leads to the maximum permissible distance between the original and point 7 being reached. Secondly, the focal length of the optics 11 can be enlarged and the positioning of the optics 11, mirror 12 and line sensor 13 can be adapted according to the invention.

In <b>Figure 6</b> the optical terms used are shown. Thus, the object G to be imaged is imaged into the image B by the optics 11, the distance between the object G and the first main plane 17 as the object width g, that between the second main plane 18 and the image B as the image width b and that between the two Main planes 17 and 18 is referred to as the main plane distance h. For simplification, the beams between the two main planes 17 and 18 are assumed to be parallel to the optical axis, the straight line through the two focal points 8 and 9 being considered as the optical axis. In the case of geometric optics, the diameter of the optics 11 is not important, so that the representation of the beams involved is of no importance for the construction of the image from the object to the image. An image in the Gaussian sense of geometric optics represents an approximation that is sufficient to explain the invention, but is not sufficient for the precise calculation of optimal solutions, because it does not take into account diffraction effects, for example, in which the diameter of the optics 11 plays an important role.

A major advantage of the invention is that the optics 11, mirror 12 and line sensor 13 can be mounted and, if necessary, adjusted in a rigid optics carrier 16 which is mounted in the axes corresponding to the articulation points 3 and 4 of the articulated square 28.

In <b>Figure 7</b> the Bezier curve for determining the dimension L3m, which is required to carry out the method according to the invention for calculating the length 23, L3, is shown graphically. With the specified data, the determination can also be carried out mathematically in a generally known manner.

In principle, the general description of the method according to the invention is as follows:<maths id="math0014" num=""><math display="block"><mrow><mtext>P1y = P2y = P0y = 0</mtext></mrow></math><img file="EP1101351B1_D0014.tif" /></maths><maths id="math0015" num=""><math display="block"><mrow><mtext>P1x = -P2x with P2x &gt;&gt; 0</mtext></mrow></math><img file="EP1101351B1_D0015.tif" /></maths><maths id="math0016" num=""><math display="block"><mrow><mtext>P5x = 0</mtext></mrow></math><img file="EP1101351B1_D0016.tif" /></maths><maths id="math0017" num=""><math display="block"><mrow><mtext>L1 = L2</mtext></mrow></math><img file="EP1101351B1_D0017.tif" /></maths>

First, the reference dimension 33, referred to in the formulas L0, can be determined, which corresponds to the maximum extent of the device according to the invention between the template 10 and the quadrangle 28 with respect to the Y axis 30 of the coordinate system.

The distance P5y of the coordinate origin 0 and thus of the fixed articulation points 1 and 2 from the template 10 can be selected, wherein a position as close as possible to the template 10 results in a particularly wide scanning field.

The lengths 21 (L1), 22 (L2) of the first and second movable arms 14, 15 thus result<maths id="math0018" num=""><math display="block"><mrow><mtext>L1 = L2 = L0 - P5y.</mtext></mrow></math><img file="EP1101351B1_D0018.tif" /></maths>

The possible scanning width of the template 10 results from the maximum value of the deflection of the point 7 in the X direction P7x (max) belonging to the required accuracy, for which the distance from the template 10, ie | P7y - P5y |, corresponds to this accuracy twice of P7x (max). P7x (max) can be estimated:<maths id="math0019" num=""><math display="block"><mrow><mtext>P7x (max) ≈ L0 * (0.58333 - 0.175 * P5y / L0 -0.18 * (P5y / L0) ^ 2)</mtext></mrow></math><img file="EP1101351B1_D0019.tif" /></maths>

The position P1x, P2x of the two fixed articulation points 1, 2 of the quadrangle 28 can be selected. The larger the value P2x is selected, the higher the strength and the insensitivity to small deviations, but the wider is the overall expansion in the direction of the X-axis 29 of the coordinate system required for the device. The following upper limit also applies:<maths id="math0020" num=""><math display="block"><mrow><mtext>P2x (max) = L0 * (1.16666 - P5y / L0)</mtext></mrow></math><img file="EP1101351B1_D0020.tif" /></maths>

The length 23, in the formulas L3, of the optics carrier 16 corresponding to a third movable square side is determined in the following steps:<ul id="ul0001" list-style="none"><li>a)<maths id="math0021" num=""><math display="block"><mrow><mtext>Xx = P2x / L0</mtext></mrow></math><img file="EP1101351B1_D0021.tif" /></maths></li><li>b)<maths id="math0022" num=""><math display="block"><mrow><mtext>Vxx = 0.66585 -4.2054 * Xx + 5.6624 * Xx ^ 2 -3.8695 * Xx ^ 3</mtext></mrow></math><img file="EP1101351B1_D0022.tif" /></maths></li><li>c)<maths id="math0023" num=""><math display="block"><mrow><mtext>Vy = 0.19421 -0.95048 * Xx + 0.02057 * Xx ^ 2 + 0.3072 * Xx ^ 3</mtext></mrow></math><img file="EP1101351B1_D0023.tif" /></maths></li><li>d)<maths id="math0024" num=""><math display="block"><mrow><mtext>V = 0.9264 + 0.87303 * Xx -2.6595 * Xx ^ 2 + 0.811 * Xx ^ 3</mtext></mrow></math><img file="EP1101351B1_D0024.tif" /></maths></li><li>e)<maths id="math0025" num=""><math display="block"><mrow><mtext>L1m = (L1 / L0 + Vxx) * V</mtext></mrow></math><img file="EP1101351B1_D0025.tif" /></maths></li><li>f) In the by the points    (-0.1625, 0.3)    (-0.13125, 0.46458)    (0.01146, 0.25625)    (1.0, 0.2151)    determined Bezier curve of the two dimensions L1m, L3m, the value L3m belonging to L1m is determined.</li><li>G)<maths id="math0026" num=""><math display="block"><mrow><mtext>L3 = L0 * (L3m - Vy)</mtext></mrow></math><img file="EP1101351B1_D0026.tif" /></maths></li><li>h) With L3, the coordinates P7x, P7y resulting for point 7 are calculated for different angles α, possibly taking into account the manufacturing tolerances to be taken into account for the positions of the articulation points 1, 2, 5 and the lengths 21, 23, 24 of the movable square sides 14 , 15, 16 of the quadrangle 28, and L3 slightly corrected used as length 23.</li></ul>

The example below shows how to design a scanner head with a scan width of 60 mm. L0 is chosen with 60 mm, P2x with 25 mm and P5y with 15 mm. P2x (max) results in 55 mm, so it is adhered to, P7x (max) in about 31.7 mm, which is sufficient. L1 results in 45 mm, Xx in 0.41667, Vxx in -0.38326, Vy in -0.17603 and V in 0.88711. This calculates L1m to be 0.32534. In the Bezier curve you can read L3m at 0.2782. This results in L3 of 27.2538 mm. A check with fine optimization results in a maximum difference | P7y - P5y | for a scanning width of 60 mm corresponding to a value for P7x of 30 mm from 87.5 micrometers with a reduction of L3 by 6.27 per thousand to 27,083 mm. This controls the angle α to 92.1 degrees, the optical axis reaches an inclination ε to the original 10 of 14.8 degrees. Thus, the optical axis passes through the point (26, 0) in the peripheral position, so the bearing of the second fixed articulation point 2 must not protrude into the area of ​​the effective light beam between 19 and 20. This can be achieved in that, as can be seen in FIG. 5, the articulation points 1 and 2 are sufficiently far away from the template 10 and / or are positioned sufficiently far in the X direction, or by the fact that the movable square sides 14, 15 are in the form of a tuning fork Have hinge points 1, 2 sufficiently far above and below the effective light beam.

In <b>Figure 8</b> is shown in a section parallel to the Y-axis 30 and perpendicular to the reference plane of FIG. 1 at an α of 90 degrees as an example, like the bearings belonging to the fixed articulation points 1, 2 for the first and second movable square sides 14, 15 by shaping the Housing 34 and the bearings belonging to the movable articulation points 3, 4 between the first and second movable arms 14, 15 and the third movable square side, the optics carrier 16 can be formed by a bearing pin 35.

With a focal length of the optics 11 of 12.5 mm and a magnification of 1.4, the object width is 21.43 mm. With an effective diameter of the optics 11 of 8 mm, there is an opening angle of the effective light beam emanating from one line of arctan (0.5 * 8 mm / 21.43 mm) = 10.6 degrees. The image width is 30 mm, the opening angle is 7.6 degrees. At a maximum ε of 14.8 degrees, an area of ​​4.2 degrees remains free on the object side and an area of ​​19 degrees on the image side, so that the clear cross section of the housing 34 in the reference plane of FIG. 1 does not have to increase with decreasing Y coordinate , but up to the optics 11 easily and then decrease significantly.

For the illumination, it must be ensured that the change in the angle of the optical axis with respect to the original 10 of ± ε does not cause any significant change in the brightness of the original and does not cause any reflection recorded by the optics 11. For this purpose, the opening angle of the light beam of the lighting device must be kept sufficiently small and the light beam must be inclined in a favorable angular range with respect to the original.

In <b>Figure 9</b> shows how a light bundle for illumination, which also uses the optics 11 for focusing on the original, can be guided using several mirrors 37, 38 in the example shown. The delimited boundary 39 of the light bundle represents a particularly wide light bundle including the positional tolerances of the mirrors 37, 38 which have to be taken into account and which result in the maximum inclination of the optical axis 36 caused by the maximum value of the angle ε of the optical axis 25 in relation to the original 10 of the light beam in relation to the template 10 when the template 10 is reached by the light beam.

In <b>Figure 10</b> it is shown which angular range the lateral boundaries 19, 20 of the effective light beam cover from the original 10 via the optics 11 to the line sensor 13 before reaching the optics 11. This area is kept free from the radiation of the light beam of the illumination in FIG. 8 reflected by the template 10.

It can be clearly seen that with a relatively large diameter of the optics 11, although a large angle of the radiation is detected as an effective light beam, the limit of realizability is also reached. In a further embodiment of the invention, the clear width of the optics 11 is determined to deviate from the circle, for example in the form of a rectangle in which the long side runs parallel to the line. In this way, the light bundles shown in FIGS. 9 and 10 can be made narrower and the light bundle of the illumination can strike the template more steeply. With a diameter of the optics 11 of 8 mm, an optical cross section of 50 mm results², with a rectangle of 8 mm * 4 mm a cross section of 32 mm²from 64 percent if the angle was reduced to half, whereas it would have been only 25 percent with a diameter of 4 mm. The diffraction limit should be considered as the limit of the narrowing.

By a favorable choice of the inclination of the mirrors 37 and 38 it can be achieved that the mirrors can be arranged relatively close to the lateral boundaries 19, 20 of the effective light beam and thus the dimensions of the housing 34 in the direction between the X-axis 29 Have template 10 and optics 11 kept small.

Light-emitting diodes, so-called LEDs, are suitable for generating the light bundle of the lighting. If these are used on the side of the optics 11 remote from the original with the optical axis 36 rotated and / or offset relative to the optical axis 25 of the optics 11, one can by suitable positioning of the LED and by choosing the focal length, position and alignment of a cylindrical lens in the beam path of the Beams of lighting achieve that the image of the light-emitting surface of the LED on the template 10 illuminates the line to be imaged as a light line or narrow bar. The use of several LEDs can also be used with a common cylindrical lens to increase the light intensity and / or to even out.

The use of two mirrors 37, 38 shown in FIG. 8 can be expanded symmetrically on both sides. In addition, the two mirrors 37, 38 can be positioned and extended on each of the two sides in such a way that they can become a common bent component. At the same time this ensures that, on the one hand, the penetration of extraneous light into the optical area is largely suppressed, that, on the other hand, when the two mirror combinations 37, 38 are combined with a floor and / or ceiling plate as a third movable square side, as an optics carrier 16 in the form of a mechanically stable movable part can be designed.

In one configuration, the mirrors 37, 38 can also be curved, depending on the configuration, even without a kink, but with a smooth transition, so that only one mirror can be seen on each side. This means that a cylindrical lens can be dispensed with.

If you compare the results of the invention with previous solutions, you get a simplified mechanism compared to linearly moving optics with a reduction in the necessary housing width. Compared to purely rotary scanning with the same scanning angle and thus a radius of over 100 mm, a flat template can be used, while there the deflection with about 4 mm would no longer be negligible, and a considerable reduction in the housing width and length can also be achieved , since inclination and displacement of the optics 11 are carried out simultaneously in the course of a scanning of the original 10. <tables id="tabl0001" num="0001"><table frame="all"><title>Table 1:</title><tgroup cols="12" colsep="1" rowsep="0"><colspec colnum="1" colname="col1" colwidth="13.12mm" /><colspec colnum="2" colname="col2" colwidth="13.12mm" /><colspec colnum="3" colname="col3" colwidth="13.12mm" /><colspec colnum="4" colname="col4" colwidth="13.12mm" /><colspec colnum="5" colname="col5" colwidth="13.12mm" /><colspec colnum="6" colname="col6" colwidth="13.12mm" /><colspec colnum="7" colname="col7" colwidth="13.12mm" /><colspec colnum="8" colname="col8" colwidth="13.12mm" /><colspec colnum="9" colname="col9" colwidth="13.12mm" /><colspec colnum="10" colname="col10" colwidth="13.12mm" /><colspec colnum="11" colname="col11" colwidth="13.12mm" /><colspec colnum="12" colname="col12" colwidth="13.12mm" /><thead valign="top"><row rowsep="1"><entry namest="col1" nameend="col1" align="center">P7x</entry><entry namest="col2" nameend="col2" align="center">P7y</entry><entry namest="col3" nameend="col3" align="center">P6x</entry><entry namest="col4" nameend="col4" align="center">-P6y</entry><entry namest="col5" nameend="col5" align="center">P4x</entry><entry namest="col6" nameend="col6" align="center">-P4y</entry><entry namest="col7" nameend="col7" align="center">P3x</entry><entry namest="col8" nameend="col8" align="center">-P3y</entry><entry namest="col9" nameend="col9" align="center">α</entry><entry namest="col10" nameend="col10" align="center">β</entry><entry namest="col11" nameend="col11" align="center">γ</entry><entry namest="col12" nameend="col12" align="center">ε</entry></row></thead><tbody valign="top"><row><entry namest="col1" nameend="col1" align="char" char=".">0.00</entry><entry namest="col2" nameend="col2" align="char" char=".">64.00</entry><entry namest="col3" nameend="col3" align="right">0</entry><entry namest="col4" nameend="col4" align="center">31</entry><entry namest="col5" nameend="col5" align="center">16</entry><entry namest="col6" nameend="col6" align="center">31</entry><entry namest="col7" nameend="col7" align="right">-16</entry><entry namest="col8" nameend="col8" align="center">31</entry><entry namest="col9" nameend="col9" align="char" char=".">74.0</entry><entry namest="col10" nameend="col10" align="char" char=".">37.0</entry><entry namest="col11" nameend="col11" align="char" char=".">37.0</entry><entry namest="col12" nameend="col12" align="char" char=".">0.0</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">3.15</entry><entry namest="col2" nameend="col2" align="char" char=".">64.00</entry><entry namest="col3" nameend="col3" align="right">1</entry><entry namest="col4" nameend="col4" align="center">31</entry><entry namest="col5" nameend="col5" align="center">17</entry><entry namest="col6" nameend="col6" align="center">31</entry><entry namest="col7" nameend="col7" align="right">-15</entry><entry namest="col8" nameend="col8" align="center">30</entry><entry namest="col9" nameend="col9" align="char" char=".">76.2</entry><entry namest="col10" nameend="col10" align="char" char=".">35.3</entry><entry namest="col11" nameend="col11" align="char" char=".">36.5</entry><entry namest="col12" nameend="col12" align="char" char=".">1.2</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">5.65</entry><entry namest="col2" nameend="col2" align="char" char=".">64.01</entry><entry namest="col3" nameend="col3" align="right">2</entry><entry namest="col4" nameend="col4" align="center">31</entry><entry namest="col5" nameend="col5" align="center">18</entry><entry namest="col6" nameend="col6" align="center">31</entry><entry namest="col7" nameend="col7" align="right">-14</entry><entry namest="col8" nameend="col8" align="center">30</entry><entry namest="col9" nameend="col9" align="char" char=".">77.9</entry><entry namest="col10" nameend="col10" align="char" char=".">34.0</entry><entry namest="col11" nameend="col11" align="char" char=".">36.1</entry><entry namest="col12" nameend="col12" align="char" char=".">2.2</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">7.46</entry><entry namest="col2" nameend="col2" align="char" char=".">64.02</entry><entry namest="col3" nameend="col3" align="right">3</entry><entry namest="col4" nameend="col4" align="center">31</entry><entry namest="col5" nameend="col5" align="center">19</entry><entry namest="col6" nameend="col6" align="center">31</entry><entry namest="col7" nameend="col7" align="right">-13</entry><entry namest="col8" nameend="col8" align="center">30</entry><entry namest="col9" nameend="col9" align="char" char=".">79.1</entry><entry namest="col10" nameend="col10" align="char" char=".">33.0</entry><entry namest="col11" nameend="col11" align="char" char=".">35.8</entry><entry namest="col12" nameend="col12" align="char" char=".">2.8</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">9.29</entry><entry namest="col2" nameend="col2" align="char" char=".">64.03</entry><entry namest="col3" nameend="col3" align="right">3</entry><entry namest="col4" nameend="col4" align="center">31</entry><entry namest="col5" nameend="col5" align="center">19</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-13</entry><entry namest="col8" nameend="col8" align="center">30</entry><entry namest="col9" nameend="col9" align="char" char=".">80.3</entry><entry namest="col10" nameend="col10" align="char" char=".">32.0</entry><entry namest="col11" nameend="col11" align="char" char=".">35.5</entry><entry namest="col12" nameend="col12" align="char" char=".">3.5</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">10.41</entry><entry namest="col2" nameend="col2" align="char" char=".">64.04</entry><entry namest="col3" nameend="col3" align="right">4</entry><entry namest="col4" nameend="col4" align="center">30</entry><entry namest="col5" nameend="col5" align="center">20</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-12</entry><entry namest="col8" nameend="col8" align="center">29</entry><entry namest="col9" nameend="col9" align="char" char=".">81.0</entry><entry namest="col10" nameend="col10" align="char" char=".">31.3</entry><entry namest="col11" nameend="col11" align="char" char=".">35.3</entry><entry namest="col12" nameend="col12" align="char" char=".">4.0</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">11.91</entry><entry namest="col2" nameend="col2" align="char" char=".">64.05</entry><entry namest="col3" nameend="col3" align="right">4</entry><entry namest="col4" nameend="col4" align="center">30</entry><entry namest="col5" nameend="col5" align="center">20</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-12</entry><entry namest="col8" nameend="col8" align="center">29</entry><entry namest="col9" nameend="col9" align="char" char=".">82.0</entry><entry namest="col10" nameend="col10" align="char" char=".">30.5</entry><entry namest="col11" nameend="col11" align="char" char=".">35.1</entry><entry namest="col12" nameend="col12" align="char" char=".">4.6</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">13.06</entry><entry namest="col2" nameend="col2" align="char" char=".">64.06</entry><entry namest="col3" nameend="col3" align="right">5</entry><entry namest="col4" nameend="col4" align="center">30</entry><entry namest="col5" nameend="col5" align="center">21</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-11</entry><entry namest="col8" nameend="col8" align="center">29</entry><entry namest="col9" nameend="col9" align="char" char=".">82.7</entry><entry namest="col10" nameend="col10" align="char" char=".">29.9</entry><entry namest="col11" nameend="col11" align="char" char=".">34.9</entry><entry namest="col12" nameend="col12" align="char" char=".">5.0</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">14.60</entry><entry namest="col2" nameend="col2" align="char" char=".">64.07</entry><entry namest="col3" nameend="col3" align="right">5</entry><entry namest="col4" nameend="col4" align="center">30</entry><entry namest="col5" nameend="col5" align="center">21</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-11</entry><entry namest="col8" nameend="col8" align="center">29</entry><entry namest="col9" nameend="col9" align="char" char=".">83.6</entry><entry namest="col10" nameend="col10" align="char" char=".">29.0</entry><entry namest="col11" nameend="col11" align="char" char=".">34.6</entry><entry namest="col12" nameend="col12" align="char" char=".">5.6</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">15.77</entry><entry namest="col2" nameend="col2" align="char" char=".">64.08</entry><entry namest="col3" nameend="col3" align="right">6</entry><entry namest="col4" nameend="col4" align="center">30</entry><entry namest="col5" nameend="col5" align="center">22</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-10</entry><entry namest="col8" nameend="col8" align="center">28</entry><entry namest="col9" nameend="col9" align="char" char=".">84.4</entry><entry namest="col10" nameend="col10" 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namest="col1" nameend="col1" align="char" char=".">19.40</entry><entry namest="col2" nameend="col2" align="char" char=".">64.10</entry><entry namest="col3" nameend="col3" align="right">7</entry><entry namest="col4" nameend="col4" align="center">30</entry><entry namest="col5" nameend="col5" align="center">23</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-9</entry><entry namest="col8" nameend="col8" align="center">28</entry><entry namest="col9" nameend="col9" align="char" char=".">86.5</entry><entry namest="col10" nameend="col10" align="char" char=".">26.3</entry><entry namest="col11" nameend="col11" align="char" char=".">33.8</entry><entry namest="col12" nameend="col12" align="char" char=".">7.5</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">25.42</entry><entry namest="col2" nameend="col2" align="char" char=".">64.11</entry><entry namest="col3" nameend="col3" align="right">9</entry><entry namest="col4" nameend="col4" align="center">29</entry><entry namest="col5" nameend="col5" align="center">25</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-7</entry><entry namest="col8" nameend="col8" align="center">26</entry><entry namest="col9" nameend="col9" align="char" char=".">89.9</entry><entry namest="col10" nameend="col10" align="char" char=".">22.9</entry><entry namest="col11" nameend="col11" align="char" char=".">32.9</entry><entry namest="col12" nameend="col12" align="char" char=".">10.0</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">26.33</entry><entry namest="col2" nameend="col2" align="char" char=".">64.10</entry><entry namest="col3" nameend="col3" align="right">9</entry><entry namest="col4" nameend="col4" align="center">29</entry><entry namest="col5" nameend="col5" align="center">25</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-6</entry><entry namest="col8" nameend="col8" align="center">26</entry><entry namest="col9" nameend="col9" align="char" char=".">90.4</entry><entry namest="col10" nameend="col10" align="char" char=".">22.3</entry><entry namest="col11" nameend="col11" align="char" char=".">32.7</entry><entry namest="col12" nameend="col12" align="char" char=".">10.4</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">27.26</entry><entry namest="col2" nameend="col2" align="char" char=".">64.09</entry><entry namest="col3" nameend="col3" align="right">10</entry><entry namest="col4" nameend="col4" align="center">29</entry><entry namest="col5" nameend="col5" align="center">25</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-6</entry><entry namest="col8" nameend="col8" align="center">26</entry><entry namest="col9" nameend="col9" align="char" char=".">90.8</entry><entry namest="col10" nameend="col10" align="char" char=".">21.8</entry><entry namest="col11" nameend="col11" align="char" char=".">32.6</entry><entry namest="col12" nameend="col12" align="char" char=".">10.8</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">28.20</entry><entry namest="col2" nameend="col2" align="char" char=".">64.08</entry><entry namest="col3" nameend="col3" align="right">10</entry><entry namest="col4" nameend="col4" align="center">29</entry><entry namest="col5" nameend="col5" align="center">26</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-6</entry><entry namest="col8" nameend="col8" align="center">26</entry><entry namest="col9" nameend="col9" align="char" char=".">91.3</entry><entry namest="col10" nameend="col10" align="char" char=".">21.3</entry><entry namest="col11" nameend="col11" align="char" char=".">32.4</entry><entry namest="col12" nameend="col12" align="char" char=".">11.2</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">28.68</entry><entry namest="col2" nameend="col2" align="char" char=".">64.07</entry><entry namest="col3" nameend="col3" align="right">10</entry><entry namest="col4" nameend="col4" align="center">29</entry><entry namest="col5" nameend="col5" align="center">26</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-6</entry><entry namest="col8" nameend="col8" align="center">26</entry><entry namest="col9" nameend="col9" align="char" char=".">91.6</entry><entry namest="col10" nameend="col10" align="char" char=".">21.0</entry><entry namest="col11" nameend="col11" align="char" char=".">32.4</entry><entry namest="col12" nameend="col12" align="char" char=".">11.4</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">29.65</entry><entry namest="col2" nameend="col2" align="char" char=".">64.06</entry><entry namest="col3" nameend="col3" align="right">10</entry><entry namest="col4" nameend="col4" align="center">29</entry><entry namest="col5" nameend="col5" align="center">26</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-5</entry><entry namest="col8" nameend="col8" align="center">25</entry><entry namest="col9" nameend="col9" align="char" char=".">92.0</entry><entry namest="col10" nameend="col10" align="char" char=".">20.4</entry><entry namest="col11" nameend="col11" align="char" char=".">32.2</entry><entry namest="col12" nameend="col12" align="char" char=".">11.8</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">30.14</entry><entry namest="col2" nameend="col2" align="char" char=".">64.05</entry><entry namest="col3" nameend="col3" align="right">10</entry><entry namest="col4" nameend="col4" align="center">29</entry><entry namest="col5" nameend="col5" align="center">26</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-5</entry><entry namest="col8" nameend="col8" align="center">25</entry><entry namest="col9" nameend="col9" align="char" char=".">92.3</entry><entry namest="col10" nameend="col10" align="char" char=".">20.1</entry><entry namest="col11" nameend="col11" align="char" char=".">32.2</entry><entry namest="col12" nameend="col12" align="char" char=".">12.0</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">30.64</entry><entry namest="col2" nameend="col2" align="char" char=".">64.04</entry><entry namest="col3" nameend="col3" align="right">11</entry><entry namest="col4" nameend="col4" align="center">29</entry><entry namest="col5" nameend="col5" align="center">26</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-5</entry><entry namest="col8" nameend="col8" align="center">25</entry><entry namest="col9" nameend="col9" align="char" char=".">92.5</entry><entry namest="col10" nameend="col10" align="char" char=".">19.9</entry><entry namest="col11" nameend="col11" align="char" char=".">32.1</entry><entry namest="col12" nameend="col12" align="char" char=".">12.2</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">31.14</entry><entry namest="col2" nameend="col2" align="char" char=".">64.02</entry><entry namest="col3" nameend="col3" align="right">11</entry><entry namest="col4" nameend="col4" align="center">29</entry><entry namest="col5" nameend="col5" align="center">26</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-5</entry><entry namest="col8" nameend="col8" align="center">25</entry><entry namest="col9" nameend="col9" align="char" char=".">92.8</entry><entry namest="col10" nameend="col10" align="char" char=".">19.6</entry><entry namest="col11" nameend="col11" align="char" char=".">32.0</entry><entry namest="col12" nameend="col12" align="char" char=".">12.4</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">31.65</entry><entry namest="col2" nameend="col2" align="char" char=".">64.01</entry><entry namest="col3" nameend="col3" align="right">11</entry><entry namest="col4" nameend="col4" align="center">28</entry><entry namest="col5" nameend="col5" align="center">26</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-5</entry><entry namest="col8" nameend="col8" align="center">25</entry><entry namest="col9" nameend="col9" align="char" char=".">93.0</entry><entry namest="col10" nameend="col10" align="char" char=".">19.3</entry><entry namest="col11" nameend="col11" align="char" char=".">31.9</entry><entry namest="col12" nameend="col12" align="char" char=".">12.7</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">32.16</entry><entry namest="col2" nameend="col2" align="char" char=".">64.00</entry><entry namest="col3" nameend="col3" align="right">11</entry><entry namest="col4" nameend="col4" align="center">28</entry><entry namest="col5" nameend="col5" align="center">27</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-5</entry><entry namest="col8" nameend="col8" align="center">25</entry><entry namest="col9" nameend="col9" align="char" char=".">93.2</entry><entry namest="col10" nameend="col10" align="char" char=".">19.0</entry><entry namest="col11" nameend="col11" align="char" char=".">31.9</entry><entry namest="col12" nameend="col12" align="char" char=".">12.9</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">32.68</entry><entry namest="col2" nameend="col2" align="char" char=".">63.98</entry><entry namest="col3" nameend="col3" align="right">11</entry><entry namest="col4" nameend="col4" align="center">28</entry><entry namest="col5" nameend="col5" align="center">27</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-4</entry><entry namest="col8" nameend="col8" align="center">25</entry><entry namest="col9" nameend="col9" align="char" char=".">93.5</entry><entry namest="col10" nameend="col10" align="char" char=".">18.7</entry><entry namest="col11" nameend="col11" align="char" char=".">31.8</entry><entry namest="col12" nameend="col12" align="char" char=".">13.1</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">33.21</entry><entry namest="col2" nameend="col2" align="char" char=".">63.97</entry><entry namest="col3" nameend="col3" align="right">11</entry><entry namest="col4" nameend="col4" align="center">28</entry><entry namest="col5" nameend="col5" align="center">27</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-4</entry><entry namest="col8" nameend="col8" align="center">25</entry><entry namest="col9" nameend="col9" align="char" char=".">93.7</entry><entry namest="col10" nameend="col10" align="char" char=".">18.4</entry><entry namest="col11" nameend="col11" align="char" char=".">31.7</entry><entry namest="col12" nameend="col12" align="char" char=".">13.4</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">33.75</entry><entry namest="col2" nameend="col2" align="char" char=".">63.95</entry><entry namest="col3" nameend="col3" align="right">11</entry><entry namest="col4" nameend="col4" align="center">28</entry><entry namest="col5" nameend="col5" align="center">27</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-4</entry><entry namest="col8" nameend="col8" align="center">24</entry><entry namest="col9" nameend="col9" align="char" char=".">94.0</entry><entry namest="col10" nameend="col10" align="char" char=".">18.0</entry><entry namest="col11" nameend="col11" align="char" char=".">31.6</entry><entry namest="col12" nameend="col12" align="char" char=".">13.6</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">34.29</entry><entry namest="col2" nameend="col2" align="char" char=".">63.93</entry><entry namest="col3" nameend="col3" align="right">12</entry><entry namest="col4" nameend="col4" align="center">28</entry><entry namest="col5" nameend="col5" align="center">27</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-4</entry><entry namest="col8" nameend="col8" align="center">24</entry><entry namest="col9" nameend="col9" align="char" char=".">94.2</entry><entry namest="col10" nameend="col10" align="char" char=".">17.7</entry><entry namest="col11" nameend="col11" align="char" char=".">31.6</entry><entry namest="col12" nameend="col12" align="char" char=".">13.8</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">34.84</entry><entry namest="col2" nameend="col2" align="char" char=".">63.91</entry><entry namest="col3" nameend="col3" align="right">12</entry><entry namest="col4" nameend="col4" align="center">28</entry><entry namest="col5" nameend="col5" align="center">27</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-4</entry><entry namest="col8" nameend="col8" align="center">24</entry><entry namest="col9" nameend="col9" align="char" char=".">94.4</entry><entry namest="col10" nameend="col10" align="char" char=".">17.4</entry><entry namest="col11" nameend="col11" align="char" char=".">31.5</entry><entry namest="col12" nameend="col12" align="char" char=".">14.1</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">35.39</entry><entry namest="col2" nameend="col2" align="char" char=".">63.88</entry><entry namest="col3" nameend="col3" align="right">12</entry><entry namest="col4" nameend="col4" align="center">28</entry><entry namest="col5" nameend="col5" align="center">27</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-4</entry><entry namest="col8" nameend="col8" align="center">24</entry><entry namest="col9" nameend="col9" align="char" char=".">94.7</entry><entry namest="col10" nameend="col10" align="char" char=".">17.1</entry><entry namest="col11" nameend="col11" align="char" char=".">31.4</entry><entry namest="col12" nameend="col12" align="char" char=".">14.3</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">35.96</entry><entry namest="col2" nameend="col2" align="char" char=".">63.86</entry><entry namest="col3" nameend="col3" align="right">12</entry><entry namest="col4" nameend="col4" align="center">28</entry><entry namest="col5" nameend="col5" align="center">28</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-3</entry><entry namest="col8" nameend="col8" align="center">24</entry><entry namest="col9" nameend="col9" align="char" char=".">94.9</entry><entry namest="col10" nameend="col10" align="char" char=".">16.7</entry><entry namest="col11" nameend="col11" align="char" char=".">31.3</entry><entry namest="col12" nameend="col12" align="char" char=".">14.6</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">36.54</entry><entry namest="col2" nameend="col2" align="char" char=".">63.83</entry><entry namest="col3" nameend="col3" align="right">12</entry><entry namest="col4" nameend="col4" align="center">28</entry><entry namest="col5" nameend="col5" align="center">28</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-3</entry><entry namest="col8" nameend="col8" align="center">24</entry><entry namest="col9" nameend="col9" align="char" char=".">95.2</entry><entry namest="col10" nameend="col10" align="char" char=".">16.4</entry><entry namest="col11" nameend="col11" align="char" char=".">31.3</entry><entry namest="col12" nameend="col12" align="char" char=".">14.9</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">37.12</entry><entry namest="col2" nameend="col2" align="char" char=".">63.80</entry><entry namest="col3" nameend="col3" align="right">12</entry><entry namest="col4" nameend="col4" align="center">28</entry><entry namest="col5" nameend="col5" align="center">28</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-3</entry><entry namest="col8" nameend="col8" align="center">23</entry><entry namest="col9" nameend="col9" align="char" char=".">95.4</entry><entry namest="col10" nameend="col10" align="char" char=".">16.1</entry><entry namest="col11" nameend="col11" align="char" char=".">31.2</entry><entry namest="col12" nameend="col12" align="char" char=".">15.1</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">37.72</entry><entry namest="col2" nameend="col2" align="char" char=".">63.76</entry><entry namest="col3" nameend="col3" align="right">13</entry><entry namest="col4" nameend="col4" align="center">28</entry><entry namest="col5" nameend="col5" align="center">28</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-3</entry><entry namest="col8" nameend="col8" align="center">23</entry><entry namest="col9" nameend="col9" align="char" char=".">95.6</entry><entry namest="col10" nameend="col10" align="char" char=".">15.7</entry><entry namest="col11" nameend="col11" align="char" char=".">31.1</entry><entry namest="col12" nameend="col12" align="char" char=".">15.4</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">38.33</entry><entry namest="col2" nameend="col2" align="char" char=".">63.73</entry><entry namest="col3" nameend="col3" align="right">13</entry><entry namest="col4" nameend="col4" align="center">28</entry><entry namest="col5" nameend="col5" align="center">28</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-3</entry><entry namest="col8" nameend="col8" align="center">23</entry><entry namest="col9" nameend="col9" align="char" char=".">95.9</entry><entry namest="col10" nameend="col10" align="char" char=".">15.3</entry><entry namest="col11" nameend="col11" align="char" char=".">31.0</entry><entry namest="col12" nameend="col12" align="char" char=".">15.7</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">38.95</entry><entry namest="col2" nameend="col2" align="char" char=".">63.69</entry><entry namest="col3" nameend="col3" align="right">13</entry><entry namest="col4" nameend="col4" align="center">27</entry><entry namest="col5" nameend="col5" align="center">28</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-3</entry><entry namest="col8" nameend="col8" align="center">23</entry><entry namest="col9" nameend="col9" align="char" char=".">96.1</entry><entry namest="col10" nameend="col10" align="char" char=".">15.0</entry><entry namest="col11" nameend="col11" align="char" char=".">31.0</entry><entry namest="col12" nameend="col12" align="char" char=".">16.0</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">39.58</entry><entry namest="col2" nameend="col2" align="char" char=".">63.65</entry><entry namest="col3" nameend="col3" align="right">13</entry><entry namest="col4" nameend="col4" align="center">27</entry><entry namest="col5" nameend="col5" align="center">28</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-2</entry><entry namest="col8" nameend="col8" align="center">23</entry><entry namest="col9" nameend="col9" align="char" char=".">96.4</entry><entry namest="col10" nameend="col10" align="char" char=".">14.6</entry><entry namest="col11" nameend="col11" align="char" char=".">30.9</entry><entry namest="col12" nameend="col12" align="char" char=".">16.3</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">40.23</entry><entry namest="col2" nameend="col2" align="char" char=".">63.60</entry><entry namest="col3" nameend="col3" align="right">13</entry><entry namest="col4" nameend="col4" align="center">27</entry><entry namest="col5" nameend="col5" align="center">28</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-2</entry><entry namest="col8" nameend="col8" align="center">23</entry><entry namest="col9" nameend="col9" align="char" char=".">96.6</entry><entry namest="col10" nameend="col10" align="char" char=".">14.2</entry><entry namest="col11" nameend="col11" align="char" char=".">30.8</entry><entry namest="col12" nameend="col12" align="char" char=".">16.6</entry></row><row><entry namest="col1" nameend="col1" align="char" char=".">40.89</entry><entry namest="col2" nameend="col2" align="char" char=".">63.55</entry><entry namest="col3" nameend="col3" align="right">13</entry><entry namest="col4" nameend="col4" align="center">27</entry><entry namest="col5" nameend="col5" align="center">29</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-2</entry><entry namest="col8" nameend="col8" align="center">22</entry><entry namest="col9" nameend="col9" align="char" char=".">96.8</entry><entry namest="col10" nameend="col10" align="char" char=".">13.8</entry><entry namest="col11" nameend="col11" align="char" char=".">30.7</entry><entry namest="col12" nameend="col12" align="char" char=".">16.9</entry></row><row rowsep="1"><entry namest="col1" nameend="col1" align="char" char=".">41.57</entry><entry namest="col2" nameend="col2" align="char" char=".">63.49</entry><entry namest="col3" nameend="col3" align="right">13</entry><entry namest="col4" nameend="col4" align="center">27</entry><entry namest="col5" nameend="col5" align="center">29</entry><entry namest="col6" nameend="col6" align="center">32</entry><entry namest="col7" nameend="col7" align="right">-2</entry><entry namest="col8" nameend="col8" align="center">22</entry><entry namest="col9" nameend="col9" align="char" char=".">97.1</entry><entry namest="col10" nameend="col10" align="char" char=".">13.4</entry><entry namest="col11" nameend="col11" align="char" char=".">30.7</entry><entry namest="col12" nameend="col12" align="char" char=".">17.3</entry></row></tbody></tgroup></table></tables>

<u>Reference list</u>

<dl id="dl0002" compact="compact"><dt>0</dt><dd>Coordinate origin P0 (P0x, P0y)</dd><dt>1</dt><dd>(first) fixed pivot point P 1 (P1x, P1y)</dd><dt>2</dt><dd>(second) fixed pivot point P2 (P2x, P2y)</dd><dt>3</dt><dd>(first) articulated pivot point P3 (P3x, P3y)</dd><dt>4</dt><dd>(second) articulated pivot point P4 (P4x, P4y)</dd><dt>5</dt><dd>Center point P5 (P5x, P5y) of template 10</dd><dt>6</dt><dd>Center point P6 (P6x, P6y) of the optics carrier 16</dd><dt>7</dt><dd>Point P7 to be mapped (P7x, P7y)</dd><dt>8</dt><dd>first focus of the optics 11</dd><dt>9</dt><dd>second focal point of the optics 11</dd><dt>10</dt><dd>template</dd><dt>11</dt><dd>optics</dd><dt>12</dt><dd>mirror</dd><dt>13</dt><dd>Line sensor</dd><dt>14</dt><dd>first arm</dd><dt>15</dt><dd>second arm</dd><dt>16</dt><dd>Optics carrier</dd><dt>17</dt><dd>first main level of optics 11</dd><dt>18</dt><dd>second main level of optics 11</dd><dt>19,20</dt><dd>lateral limits of the effective light beam</dd><dt>21</dt><dd>Length L1 of the first arm 14</dd><dt>22</dt><dd>Length L2 of the second arm 15</dd><dt>23</dt><dd>Length L3 of the optics carrier 16</dd><dt>24</dt><dd>V-shaped track</dd><dt>25</dt><dd>optical axis</dd><dt>28</dt><dd>Quadrilateral joint</dd><dt>29</dt><dd>X axis of the coordinate system</dd><dt>30</dt><dd>Y axis of the coordinate system</dd><dt>31</dt><dd>Distance L5</dd><dt>33</dt><dd>Reference dimension L0</dd><dt>34</dt><dd>casing</dd><dt>35</dt><dd>Bearing pin</dd><dt>36</dt><dd>optical axis of lighting</dd><dt>37,38</dt><dd>Lighting mirror</dd><dt>39</dt><dd>lateral limits of the light beam of the lighting</dd></dl>