Matrix Transformation of Three-dimensional Space; Orthographic Projections

Abstract

Before we consider projections of three-dimensional space on to our necessarily two-dimensional screen, we need to introduce the concepts of transforming coordinate systems (as we did with two-dimensional space in chapter 3). As in the two-dimensional case there are three basic transformations: change of origin, change of scale and rotation of axes. Since we have introduced the idea of matrix representation of transformations in this lower dimension, we shall move directly to a similar representation of three-dimensional space.