MORE MATRICES AND TRANSFORMATIONS: SHEAR AND PSEUDO-PERSPECTIVE

Publisher Summary This chapter discusses the shear and pseudo-perspective of matrices and transformations. The construction of matrices for affine, and projective transformations rotation, mirror image, scaling, and projections which were not defined relative to the origin, and coordinate axes, but rather relative to some arbitrary positions, and orientations is considered. It is found that if one perform perspective projection before clipping, one lose the ability to clip in depth. It is found that to avoid this problem one must put depth back into the perspective transformation, and one want a transformation that gives us both perspective, and depth. Usually, this is done by factoring perspective projection through orthogonal projection.