Mathematical Topics from 3D Graphics
I don’t think there’s anything wrong with pretty graphics.
— Shigeru Miyamoto (1952–)
This chapter discusses a number of mathematical issues that arise when creating 3D graphics on a computer. Of course, we cannot hope to cover the vast subject of computer graphics in any amount of detail in a single chapter. Entire books are written that merely survey the topic. This chapter is to graphics what this entire book is to interactive 3D applications: it presents an extremely brief and high level overview of the subject matter, focusing on topics for which mathematics plays a critical role. Just like the rest of this book, we try to pay special attention to those topics that, from our experience, are glossed ...