Computer Graphics Through OpenGL, 2nd Edition

Chapter 18

Applications of Projective Spaces

Projective spaces and transformations play an important role in computer graphics and our goal in this chapter is to study three powerful applications. The first is in the “shoot” part of shoot-and-print in the OpenGL pipeline, which comes down to devising a so-called projection transformation. The next is in shadow mapping, a technique to authentically cast shadows of a local light source on curved surfaces, which is based on an understanding of the projection transformation. The final application is developing rational versions of Bézier and B-spline theory.

It’s best to come to this chapter with some familiarity with projective spaces. If you have this already, maybe from a college math course ...