Method for displaying three-dimensional image, method for capturing three-dimensional image, and three-dimentional display apparatus

In a II system display apparatus, in a normal display mode, a parallax component image is divided into pieces corresponding to respective columns for a parallax interleaved image. The component image is obtained by subjecting a subject to perspective projection in a vertical direction and to orthographic projection in a horizontal direction. In a compressed and emphasized display mode, the component image is divided into pieces corresponding to respective columns. The component image is obtained by subjecting the subject to perspective projection in both vertical and horizontal directions. In a multiview compatible mode, the component image is divided into pieces corresponding to respective columns so that the same piece is provided for a plurality of adjacent columns. The component image is obtained by subjecting the subject to perspective projection in both vertical and horizontal directions.