Mathematical and Computer Programming Techniques for Computer Graphics

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Springer Science & Business Media, Apr 6, 2010 - Computers - 548 pages

Mathematical and Computer Programming Techniques for Computer Graphics introduces the mathematics and related computer programming techniques used in Computer Graphics. Starting with the underlying mathematical ideas, it gradually leads the reader to a sufficient understanding of the detail to be able to implement libraries and programs for 2D and 3D graphics. Using lots of code examples, the reader is encouraged to explore and experiment with data and computer programs (in the C programming language) and to master the related mathematical techniques.

A simple but effective set of routines are included, organised as a library, covering both 2D and 3D graphics – taking a parallel approach to mathematical theory, and showing the reader how to incorporate it into example programs. This approach both demystifies the mathematics and demonstrates its relevance to 2D and 3D computer graphics.

 

Contents

Some Definitions of Terms
1
Set Theory Survival Kit
3
Vector Algebra Survival Kit
65
Matrix Algebra Survival Kit
115
Vector Spaces or Linear Spaces
153
TwoDimensional Transformations
165
TwoDimensional Clipping
193
ThreeDimensional Transformations
225
3D Rendering
291
Physically Based Lighting and Shading Models and Rendering Algorithms
317
Appendix 1 A Simple Vector Algebra C Library
423
Appendix 2 A Simple Matrix Algebra C Library
437
Appendix 3 A Simple C Library for 2D Transformations
449
Appendix 4 A Simple C Library for 3D Transformations
467
Index
531
Copyright

Viewing and Projection Transformations
253

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Common terms and phrases

Bibliographic information