Table of Contents
Preface
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1. Introduction
Graphics Areas
Major Applications
Graphics APIs
Graphics Pipeline
Numerical Issues
Efficiency
Designing and Coding Graphics Programs
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2. Miscellaneous Math
Sets and Mappings
Solving Quadratic Equations
Trigonometry
Vectors
Curves and Surfaces
Linear Interpolation
Triangles
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3. Raster Images
Raster Devices
Images, Pixels, and Geometry
RGB Color
Alpha Compositing
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4. Ray Tracing
The Basic Ray – Tracing Algorithm
Perspective
Computing Viewing Rays
Ray-Object Intersection
Shading
A Ray – Tracing Program
Shadows
Ideal Specular Reflection
Historical Notes
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5. Linear Algebra
Determinants
Matrices
Computing with Matrices and Determinants
Eigen values and Matrix Diagonalization
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6. Transformation Matrices
2D Linear Transformations
3D Linear Transformations
Translation and Affine Transformations
Inverses of Transformation Matrices
Coordinate Transformations
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7. Viewing
Viewing Transformations
Projective Transformations
Perspective Projection
Some Properties of the Perspective Transform
Field-of-View
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8. The Graphics Pipeline
Rasterization
Operations Before and After Rasterization
Simple Antialiasing
Culling Primitives for Efficiency
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9. Signal Processing
Digital Audio: Sampling in 1D
Convolution
Convolution Filters
Signal Processing for Images
Sampling Theory
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10. Surface Shading
Diffuse Shading
Phong Shading
Artistic Shading
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11. Texture Mapping
3D Texture Mapping
2D Texture Mapping
Texture Mapping for Rasterized Triangles
Bump Textures
Displacement Mapping
Environment Maps
Shadow Maps
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12. Data Structures for Graphics
Triangle Meshes
Scene Graphs
Spatial Data Structures
BSP Trees for Visibility
Tiling Multidimensional Arrays
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13. More Ray Tracing
Transparency and Refraction
Instancing
Constructive Solid Geometry
Distribution Ray Tracing
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14. Sampling
Integration
Continuous Probability
Monte Carlo Integration
Choosing Random Points
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15. Curves
Curves
Curve Properties
Polynomial Pieces
Putting Pieces Together
Cubics
Approximating Curves
Summary
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16. Implicit Modeling
Implicit Functions, Skeletal Primitives and Summation Blending
Rendering
Space Partitioning
More on Blending
Constructive Solid Geometry
Warping
Precise Contact Modeling
The Blob Tree
Interactive Implicit Modeling Systems
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17. Computer Animation
Principles of Animation
Key framing
Deformations
Character Animation
Physics-Based Animation
Procedural Techniques
Groups of Objects
Notes
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18. Using Graphics Hardware
What Is Graphics Hardware
Describing Geometry for the Hardware
Processing Geometry into Pixels
19. Building Interactive Graphics Applications
The Ball Shooting Program
Programming Models
The Model view-Controller Architecture
Example Implementations
Applying Our Results
Notes
Exercises
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20. Light
Radiometry
Transport Equation
Photometry
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21. Color
Colorimetry
Color Spaces
Chromatic Adaptation
Color Appearance
Notes
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22. Visual Perception
Vision Science
Visual Sensitivity
Spatial Vision
Objects, Locations, and Events
Picture Perception
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23. Tone Reproduction
Classification
Dynamic Range
Color
Image Formation
Frequency-Based Operators
Gradient-Domain Operators
Spatial Operators
Division
Sigmoids
Other Approaches
Night Tone mapping
Discussion
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24. Global Illumination
Particle Tracing for Lambertian Scenes
Path Tracing
Accurate Direct Lighting
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25. Reflection Models
Real-World Materials
Implementing Reflection Models
Specular Reflection Models
Smooth Layered Model
Rough Layered Model
26. Computer Graphics in Games
Platforms
Limited Resources
Optimization Techniques
Game Types
The Game Production Process
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27. Visualization
Background
Data Types
Human-Centered Design Process
Visual Encoding Principles
Interaction Principles
Composite and Adjacent Views
Data Reduction
Examples
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28. Spatial-Field Visualization
2D Scalar Fields
3D Scalar Fields
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References