Tentative Course Outline

Introduction

January 10, 2012

• Textbook: Chapter 1
• Applications
• Brief history
• Research areas
• Class organization
• Self-Study: Basic math
  Textbook, Chapter 2.1-2.4

Curves and Surfaces

January 13, 2012

• Textbook: Chapter 2.5, 15.1, 15.2
• 2D implicit and parametric curves
• 3D implicit and parametric curves
• 3D parametric surfaces
• Self-Study: Basic math
  Textbook, Chapter 2.1-2.4

Transformations in 2D

January 17, 2012

• Textbook: Chapter 6.1, 5.2-5.3
• 2D Transformation
• Translations and homogeneous transforms
• Matrix composition and decomposition
• Self-Study: Basic linear algebra
  Textbook, Chapter 5.1-5.4

Transformations in 3D

January 20, 2012

• Textbook: Chapter 6.2-6.3, 5.4
• Matrix composition and decomposition
• 3D Transformation
• Self-Study: Basic linear algebra
  Textbook, Chapter 5.1-5.4

Coordinate Transformations

January 24, 2012

• Textbook: Chapter 6.4, 6.5
• Inverse transforms
• Coordinate transforms
• Scenegraph transforms

Viewing Transformations

January 27, 2012

• Textbook: Chapter 7.1
• Viewing and canonical viewing volume

Projections

January 31, 2012

• Textbook: Chapter 7.2-7.3
• Orthographic projection
• Perspective projection

Projections

February 3, 2012

• Textbook: Chapter 7.4-7.5
• Perspective projection
• OpenGL projection matrix

Triangles

February 7, 2012

• Textbook: Chapter 3.1, 3.2
• Linear interpolation
• Triangles
• Baricentric coordinates

Rasterization

February 10, 2012

• Textbook: Chapter 8.1-8.3
• Baricentric coordinates
• Triangle rasterization

Shading

February 14, 2012

• Textbook: Chapter 3.3, 10.1-10.2
• Shading
• Diffuse Shading
• Phong Shading

Midterm

February 17, 2012

• Textbook: Chapter 1-8.3, 10.1-10.2 except Chpt. 4, 3.4
• Material covered in class

Reading Week

February 20-24, 2012

• No classes, no lab

Colour and Illumination

February 28, 2012

• Textbook: Chapter 21.1-21.5, 22.1-22.2
• Brief overview of human vision
• CIE Tristimulus Values
• Chromaticity and Luminance
• RGB Colours and Colour Manipulation

Meshes and Texture Mapping

March 2, 2012

• Textbook: Chapter 12.1, 11.1
• Indexed meshes
• 2D texture mapping
• 3D texture mapping

Procedural Texture Mapping

March 6, 2012

• Textbook: Chapter 11.2-11.3
• Noise textures

Graphics hardware

March 9, 2012

• Textbook: Chapter 8.1.3 - 8.1.6
• Graphics pipeline
• Clipping

Image-based techniques

March 13, 2012

• Programming the pipeline
• Example: Phong shading
• Texturing techniques
• Example: 2D texture maps in shaders
• Bump Mapping

Data Structures

March 16, 2012

• Textbook: Chapter 8, 12.1, 12.3
• Spatial data structures
• Binary Space Partioning tree

Hidden Surface Removal

March 20, 2012

• Textbook: Chapter 8, 12.4
• Z-buffer
• Perspective correct texture mapping

Bezier Curves

March 23, 2012

• Textbook: Chapter 15.1-15.3
• Bezier curves
• Subdivision
• Bernstein-Bezier formula
• De Casteljau algorithm

Splines

March 27, 2012

• Textbook: Chapter 15.3-15.7
• Canonical form, constraint and basis matrix
• Catmull-Rom splines
• B-splines

Spline Surfaces

March 30, 2012

• Textbook: Chapter 15
• Bi-linear patches
• Bezier surfaces
• Loop subdivision

Raytracing

April 3, 2012

• Textbook: Chapter 4.1-4.6
• Basic algorithm
• Eye and shadow rays
• Acceleration data structures
• Commercial ray tracers

Review

April 10, 2012