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Fundamentals of Computer Graphics
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Table of Contents

Preface
Introduction
Graphics Areas
Major Applications
Graphics APIs
Graphics Pipeline
Numerical Issues
Efficiency
Designing and Coding Graphics Programs

Miscellaneous Math
Sets and Mappings
Solving Quadratic Equations
Trigonometry
Vectors
Curves and Surfaces
Linear Interpolation
Triangles

Raster Images
Raster Devices
Images, Pixels, and Geometry
RGB Color
Alpha Compositing

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

Linear Algebra
Determinants
Matrices
Computing with Matrices and Determinants
Eigen values and Matrix Diagonalization

Transformation Matrices
2D Linear Transformations
3D Linear Transformations
Translation and Affine Transformations
Inverses of Transformation Matrices
Coordinate Transformations

7. Viewing
Viewing Transformations
Projective Transformations
Perspective Projection
Some Properties of the Perspective Transform
Field-of-View

The Graphics Pipeline
Rasterization
Operations Before and After Rasterization
Simple Antialiasing
Culling Primitives for Efficiency

Signal Processing
Digital Audio: Sampling in 1D
Convolution
Convolution Filters
Signal Processing for Images
Sampling Theory

Surface Shading
Diffuse Shading
Phong Shading
Artistic Shading

Texture Mapping
3D Texture Mapping
2D Texture Mapping
Texture Mapping for Rasterized Triangles
Bump Textures
Displacement Mapping
Environment Maps
Shadow Maps

Data Structures for Graphics
Triangle Meshes
Scene Graphs
Spatial Data Structures
BSP Trees for Visibility
Tiling Multidimensional Arrays

More Ray Tracing
Transparency and Refraction
Instancing
Constructive Solid Geometry
Distribution Ray Tracing

Sampling
Integration
Continuous Probability
Monte Carlo Integration
Choosing Random Points

Curves
Curves
Curve Properties
Polynomial Pieces
Putting Pieces Together
Cubics
Approximating Curves
Summary

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

Computer Animation
Principles of Animation
Key framing
Deformations
Character Animation
Physics-Based Animation
Procedural Techniques
Groups of Objects
Notes

Using Graphics Hardware
What Is Graphics Hardware
Describing Geometry for the Hardware
Processing Geometry into Pixels

Building Interactive Graphics Applications
The Ball Shooting Program
Programming Models
The Model view-Controller Architecture
Example Implementations
Applying Our Results
Notes
Exercises

Light
Radiometry
Transport Equation
Photometry

Color
Colorimetry
Color Spaces
Chromatic Adaptation
Color Appearance
Notes

Visual Perception
Vision Science
Visual Sensitivity
Spatial Vision
Objects, Locations, and Events
Picture Perception

Tone Reproduction
Classification
Dynamic Range
Color
Image Formation
Frequency-Based Operators
Gradient-Domain Operators
Spatial Operators
Division
Sigmoids
Other Approaches
Night Tone mapping
Discussion

Global Illumination
Particle Tracing for Lambertian Scenes
Path Tracing
Accurate Direct Lighting

Reflection Models
Real-World Materials
Implementing Reflection Models
Specular Reflection Models
Smooth Layered Model
Rough Layered Model

Computer Graphics in Games
Platforms
Limited Resources
Optimization Techniques
Game Types
The Game Production Process

Visualization
Background
Data Types
Human-Centered Design Process
Visual Encoding Principles
Interaction Principles
Composite and Adjacent Views
Data Reduction
Examples

Spatial-Field Visualization
2D Scalar Fields
3D Scalar Fields

References

About the Author

Peter Shirley is a principal research scientist at NVIDIA and an adjunct professor in the School of Computing at the University of Utah. He has held positions at Indiana University and the Program of Computer Graphics at Cornell University. Steve Marschner is an associate professor in the Computer Science Department and Program of Computer Graphics at Cornell University.

Reviews

Fundamentals of Computer Graphics appears in its third updated edition to pack in discussions of the basics of computer graphics for college-level students and programmers. Four new chapters on implicit modeling, color, visualization and computer graphics in games have been added along with extensive revisions and updated new material, making this a 'must' for any college-level computer graphics library.
-- The Midwest Book Review, December 2009

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