Mathematical and Computer Programming Techniques for Computer Graphics

This book demystifies the often-complex mathematics used in the creation of 2D and 3D 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.

Provides a comprehensive and detailed coverage of the fundamentals of programming techniques for computer graphics A good reference book to support implementation work Includes a simple but effective set of routines, organised as a library, that cover both 2D and 3D graphics exposing students to the mathematical theory at the same time as showing them how to incorporate it into example programs Includes supplementary material: sn.pub/extras

Klappentext

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.

Written for students with a minimum prerequisite knowledge of mathematics, the reader should have had some basic exposure to topics such as functions, trigonometric functions, elementary geometry and number theory, and also to have some familiarity with computer programming languages such as C. The material presented in this book has been used successfully with final year undergraduate and masters students studying Computer Graphics and Computer Animation. 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.

Inhalt
Set Theory Survival Kit.- Vector Algebra Survival Kit.- Matrix Algebra Survival Kit.- Vector Spaces or Linear Spaces.- Two-Dimensional Transformations.- Two-Dimensional Clipping.- Three-Dimensional Transformations.- Viewing and Projection Transformations.- 3D Rendering.- Physically Based Lighting and Shading Models and Rendering Algorithms.