We now address how the transformation chain (3.41) is altered for stereoscopic viewing. Let denote the distance between the left and right eyes. Its value in the real world varies across people, and its average is around meters. To handle the left eye view, we need to simply shift the cyclopean (center) eye horizontally to the left. Recall from Section 3.4 that the inverse actually gets applied. The models need to be shifted to the right. Therefore, let
This concludes the explanation of the entire chain of transformations to place and move models in the virtual world and then have them appear in the right place on a display. After reading Chapter 4, it will become clear that one final transformation may be needed after the entire chain has been applied. This is done to compensate for nonlinear optical distortions that occur due to wide-angle lenses in VR headsets.
Steven M LaValle 2016-12-31