Fundamentals of Computer Graphics, Third Edition

With contributions by Michael Ashikhmin, Michael Gleicher, Naty Hoffman, Garrett Johnson, Tamara Munzner, Erik Reinhard, Kelvin Sung, William B. Thompson, Peter Willemsen, Brian Wyvill.

The third edition of this widely adopted text gives students a comprehensive, fundamental introduction to computer graphics. The authors present the mathematical foundations of computer graphics...

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With contributions by Michael Ashikhmin, Michael Gleicher, Naty Hoffman, Garrett Johnson, Tamara Munzner, Erik Reinhard, Kelvin Sung, William B. Thompson, Peter Willemsen, Brian Wyvill.

The third edition of this widely adopted text gives students a comprehensive, fundamental introduction to computer graphics. The authors present the mathematical foundations of computer graphics with a focus on geometric intuition, allowing the programmer to understand and apply those foundations to the development of efficient code.

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New in this edition:

* Four new contributed chapters, written by experts in their fields: Implicit Modeling, Computer Graphics in Games, Color, Visualization, including information visualization

* Revised and updated material on the graphics pipeline, reflecting a modern viewpoint organized around programmable shading.

* Expanded treatment of viewing that improves clarity and consistency while unifying viewing in ray tracing and rasterization.

* Improved and expanded coverage of triangle meshes and mesh data structures.

A new organization for the early chapters, which concentrates foundational material at the beginning to increase teaching flexibility.

Table of Contents
Preface
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1. Introduction
Graphics Areas
Major Applications
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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
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