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3D Math Primer for Graphics and Game Development by Ian Parberry, Fletcher Dunn

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Chapter 8

Matrices and Linear Transformations

This chapter discusses the implementation of linear transformations using matrices. It is divided into eight sections.

image  Section 8.1 describes the relationship between transforming an object and transforming the coordinate space used to describe the object.

image  Section 8.2 through 8.6 describe the primitive linear transformations of rotation, scaling, orthographic projection, reflection, and shearing, respectively. For each transformation, examples and equations are given in 2D and 3D.

  Section 8.7 shows ...

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