Ray Tracing from the Ground Up

Chapter 21

Transforming Objects

Image courtesy by David Gardner

Objectives

By the end of this chapter, you should:

• understand how to intersect rays with transformed objects;
• understand why instancing is the preferred method;
• be able to transform objects through instancing;
• understand how you can model numerous beveled objects.

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In this chapter, I’ll put the theory of affine transformations into practice by explaining how to ray trace transformed objects. This will give you a lot of flexibility for modeling purposes.

21.1 Intersecting Transformed Objects

21.1.1 General Theory

How do we intersect rays with transformed objects? The answer is ...