Introduction

• Applications and History of Computer Graphics
• Fundamental Elements of 3D Graphics
• The Two Most Common Rendering Algorithms
• Cameras

2D Scan Conversion

• Video Raster Graphics
• Line Drawing
• Polygons and Scan Conversion
• 2D Clipping

3D Geometric Transformations

• Introduction
• Derivations
• Composition and Inversion
• Rotation about an arbitrary axis
• Transformations as a change of basis
• Using transformations
• Coordinate Systems in the Graphics Pipeline

Projection and Clipping

• Introduction to Projection Transformations
• Placing the Camera: The Viewing Transformation
• View Volumes
• Derivation of Projection Transformations
• 3D Clipping

Visibility

• Back-face Culling
• Visibility Algorithms

Illumination Models

• Local Illumination Models
• Global Illumination
• Ray Tracing

Curves and Surfaces

• Parametric Curves
• Parametric Surfaces

Other Selected Topics

• Sampling
• Colour Representation
• Introduction to Animation
• Texture Mapping
• Computer Graphics Standards
• Graphics Hardware
• Volume Rendering