Computer Graphics Notes

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Mathematical Preliminaries
Coordinate Systems
World and Image Space Coordinates
Vector Spaces
Linear Spaces
Normed Linear Spaces
Inner-Product Spaces
Affine-Spaces
Barycentric Coordinates
Convex Combinations
Planes
Frames
Transformations

The Viewing Pipeline
The Camera Transformation
Quaternions
Clipping
Scan Conversion
Z-Buffer Algorithm

Shading, Illumination
Shading

Polynomials
Bernstein Polynomials

Curves
Chaikin's Curve
Subdivision Curves
Bezier Curves

Surfaces
Bezier Patches
Subdivision Surfaces
Catmull-Rom Splines

Deformations
Free-Form Deformations