Overview
Computer Generated Imagery: CGI and the Mathematical Interpretation of 3D Objects in a 2D Space is a comprehensive academic paper written for UW School of Engineering and Technology's MATH 308 course. This research details the complex matrix algebra behind rendering a 3D torus with a ray-traced illumination system, exploring the fundamental mathematics that power modern computer graphics.
Research Topics
Deep dive into transformation matrices and vector mathematics
Implementation of rendering pipeline concepts
Study of lighting models and shading techniques
Exploration of texture mapping and rasterization
Ray tracing algorithms for realistic illumination
3D torus rendering with mathematical precision
Mathematical Concepts
Linear Algebra3D GraphicsMatrix TransformationsRay TracingVector MathematicsComputational Geometry