BSNS102 Study Guide - Final Guide: Coordinate Space, Camera Matrix

• School: University of Otago
• Department: Business Studies
• Course: BSNS102
• Professor: Drew Stelljes

Document Summary

C h a p t e r 8. This chapter discusses the implementation of linear transformations using matrices. In chapter 7, we investigated some of the basic mathematical properties of matrices. We also developed a geometric understanding of matrices and their relationship to coordinate space trans- formations in general. This chapter discusses this relationship between matrices and linear transformations in more detail. To be more specific, this chapter is concerned with expressing linear transformations in 3d using 3 3 matrices. Recall that one impor- tant property of linear transformations is that they do not contain translation. A transformation that contains translation is known as an affine transformation. Affine transformations in 3d cannot be implemented using 3 3 matrices. We will see a formal definition of affine transformations in. Section 8. 8. 2, and we will learn how to use 4 4 matrices to represent affine transformations in.