On-Line Computer Graphics Notes

Affine Spaces


The fundamental 3-dimensional space objects that form the basis for all operations in computer graphics are the point and the vector (sometimes called a free vector). These object have an entirely different role in the operations on three dimensional space. Namely,

These points and vectors form an affine space. It is the affine space that we study in these notes.

For a postscript version of these notes look here.

The Affine Space

This space is made up of a set of points and a vector space . The points and vectors of this space are related in a fixed, but simple manner.

It is easiest to view the points of the space as the objects that establish position and the vectors as the object that allow one to move about in the space.

This document maintained by Ken Joy

Comments to the Author

All contents copyright (c) 1996, 1997
Computer Science Department,
University of California, Davis
All rights reserved.

Ken Joy Mon Dec 9 08:27:47 PST 1996