However, in this zoom mode, the user can double the size of the high resolution inset, giving even more high frequency details. This does however break any geometric continuity between the high and low resolution images. I faced a number of technical challanges before I could implement a working system. The diagram shown to the right illustrates the problem in 2 dimensions. P is the location of the projector's center of projection, and the blue volume represents the projection volume.
P is fixed in location and the the center of the projection volume is fixed in orientation.
C is the center of rotation for the PTU axis. C is also fixed in location. M is the location of the intersection of the center ray of the projection volume and the mirror. W is the point on the wall. In this problem, we know P and C are fixed.