**Definition:**-
Set of Vectors and a Set of Points
- Vectors form a
**vector space**. - Points can be combined with vectors to make new points:

with and .

- Vectors form a
**Frame:**- An affine extension of a basis:

Requires a vector basis plus a point (the**origin**): **Dimension:**- The dimension of an affine space is the same as that of .
**Note:**-
- All other point operations are just variations on the operation.
- No distinguished origin
- No notion of distances or angles.
- Most of what we do in graphics is affine.

CS488/688: Introduction to Interactive Computer Graphics

University of Waterloo

Computer Graphics Lab