CS488 - Introduction to Computer Graphics - Lecture 5


Geometry - Affine Spaces

Vector Spaces, aka Linear Algebra.

We have some things that look like Descartes' points, though we don't know exactly what they are.

They are linear and we call them vectors.

Generators

Transformations

Vectors can be transformed,

These transformations are all linear.

If you are Felix Klein you show that they are a group, and how they separate into subgroups. But even though you are not Felix Klein your response to this formulation is the same.


Affine Spaces

Intuition is that when I add an origin, O, vectors define points.

Generators


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