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Ray Tracing from the Ground Up by Kevin Suffern

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Chapter 2

Some Essential Mathematics

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Image courtesy of Lisa Lönroth

Objectives

By the end of this chapter you should:

  • be familiar with some of the mathematics you need for ray tracing;
  • understand the difference between vectors, points, and normals;
  • understand how to construct an orthonormal frame.

Ray tracing uses a lot of mathematics, from elementary coordinate geometry to multi-dimensional calculus. Fortunately, there are excellent books on all of these topics (see the Further Reading section). I’ll present here the mathematical notation used in this book and a number of mathematical topics from a ray-tracing perspective. For example, I’ll ...

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