MATH 431 (Geometry for Computer Graphics)
| DESCRIPTION |
This is a course in geometric topics useful for the
two-dimensional
display of three-dimensional figures and animation of such figures. |
| PREREQUISITES |
Math 240 or Math 461, that is, a course in linear algebra or
matrix
algebra. |
| TOPICS |
Homogenous coordinates
The projective plane and three-dimensional projective space
Lines, planes and general flats in projective space
The join operation on flats
Plucker coordinates for lines and planes
Projections to planes in space
Projections from three-dimensional space to two-dimensional space
Projection matrices
Intersections and the meet operation on flats
Duality and orthogonality
Two and three dimensional coordinate systems
Orientation, two sided projective space
Transformations: translations, rotations, reflections, scalings, and
shears
Generating figures with geometric transformations
Animation |
| TEXT |
Text(s)
typically used in this course. |
|
