List of Course Topics

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Introduction

January 8, 2024

• Textbook: Chapter 1
• Applications
• Brief history
• Research areas
• Class organization
• Self-Study: Basic math
  Textbook, On-line Appendix

Drawing and Animation

January 10, 2024

• Textbook: Chapter 2, 4.7
• Drawing and graphics pipeline
• Modelling a tetrahedron
• Projections from 3D to 2D
• Rasterization
• Animations

Introduction to OpenGL, WebGL and Three.js

January 15, 2024

• Game or Rendering Engines, Graphics API, Low-level APIs
• Three.js, OpenGL (ES) and WebGL
• Programmable pipeline
• Drawing a triangle (yeah!)
• Textbook: Chapter 2; WebGL Guide

Transformations in 2D

January 17, 2024

• Textbook: Chapter 4.1
• Why spatial transformations in computer graphics?
• Scaling, shearing and rotation
• Multiple transformations: Matrix composition and decomposition
• Self-Study: Basic linear algebra, Textbook, on-line appendix

Transformations in 3D

January 22, 2024

• Textbook: Chapter 4.1
• Translations and homogeneous transforms
• 3D Transformation

Coordinate Transformations

January 24, 2024

• Textbook: Chapter 4.2
• Inverse transforms
• Coordinate transforms

Scenegraph and Viewing Transformations

January 29, 2024

• Textbook:
• Scenegraph transforms
• Viewing and canonical viewing volume

Camera Modelling

January 31, 2024

• Textbook: Chapter 4.7
• 3D to 2D projection
• Projection matrix
• Camera modelling in WebGL

Curves and Surfaces

February 5, 2024

• Textbook: Chapter
• 2D implicit and parametric curves
• 3D implicit and parametric curves
• 3D parametric surfaces
• Linear interpolation

Triangle Rasterization and Line Drawing

February 7, 2024

• Textbook: Chapter 2
• Triangles and Rasterization
• Baricentric coordinates
• Triangle rasterization
• Simple Anti-Aliasing

Shading

February 12, 2024

• Textbook: Chapter 5.1, 5.2, 5.3
• Lighting
• Shading
• Diffuse Shading
• Phong Shading

Midterm

February 14, 2024

• Textbook: Chapter 2, 4.1, 4.2, 4.7
• Material covered in class

Reading Week

February 19-23, 2024

• No classes, no lab

Vertex Pipeline Review

February 26, 2024

• Textbook: Chapter 3.1, 3.2, 3.3, 3.5, 3.8, 3.9
• OpenGL/WebGL programs
• Review of vertex pipeline
• Vertex shader
• Loading, compiling and linking a shader
• Setting up vertex attributes
• Sending uniforms
• Drawing calls

Meshes and 2D Texture Mapping

February 28, 2024

• Textbook: Chapter 6.1, 6.2
• Indexed meshes
• 2D texture mapping
• Sphere mapping

3D Texture and Noise

March 4, 2024

• Textbook: Chapters 6.2, 6.3
• 3D texture mapping
• Procedural textures
• Noise textures

More Texturing Techniques

March 6, 2024

• Textbook: Chapters 6.7, 13.7, 10.4, 7.4
• Bump Mapping
• Displacement Mapping
• Environment Mapping
• Shadow Mapping

Bezier Curves

March 11, 2024

• Textbook: Chapter 17.1
• Subdivision
• Bernstein-Bezier formula
• De Casteljau algorithm

Splines

March 13, 2019

• Textbook: Chapter 17.1
• Canonical form, constraint and basis matrix
• Catmull-Rom splines
• B-splines

Spline Surfaces

March 18, 2024

• Textbook: Chapter 17.2, 17.4, 17.5
• Bi-linear patches
• Bezier surfaces
• Loop subdivision

Physics-based Rendering

March 20, 2024

• Motivation and goals
• Particle systems
• Time stepping and basic equations
• ODE solvers

Ray Tracing

March 25, 2024

• Textbook: Chapter 11.2
• Basic algorithm
• Eye and shadow rays
• Acceleration data structures
• Commercial ray tracers

Spatial Data Structures and Pipeline

March 27, 2024

• Spatial data structures
• Binary Space Partioning tree
• Z-buffer
• Perspective correct texture mapping
• Clipping

Colour and Illumination

April 3, 2024

• Textbook: Chapter 8.1
• Brief overview of human vision
• CIE Tristimulus Values
• Chromaticity and Luminance
• RGB Colours and Colour Manipulation

Project Presentations and Review

April 8, 2024