Computer Graphics Notes

Review of Linear Algebra / Vector Calculus.

Math Review

Basic Transformations including Scale / Shear / Rotation / Translation.

Homogeneous Coordinates.

Basic Transformation

Model / View / Projection matrices and transformations. Field of View. 

Perspective and Interpolation.

Viewing

Pipeline. Screen transformation. Drawing Line Algorithms.

Anti-aliasing. 

Rasterization

Non-physical Based Rendering Models.

Texture Mapping. More Pipelines.

Shading

Closest Point. Ray-Mesh Intersection. First Hit. 

Spatial Accelerated Data Structure / AABB / BVH / KD-Tree.

Geometry Queries

Mesh / Manifold. Geometric Equations. 

Super / Subdivision.

Geometry Expressions

Physics measurements, getting ready for Ray Tracing.

Rendering Equation.

Radiometry

Whitted-Style Ray Tracing.

Numeric Integral. Variance Reduction.

Ray Tracing

Interpolations. Key Frames. Splines.

Kinematics / Inversed Kinematics. Optimazations.

Animation