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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 .
- An affine extension of a basis:
Requires a vector basis plus a point (the origin):
- The dimension of an affine space is the same as
that of .
- All other point operations are just variations on
- 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