Mathematical and Computer Programming Techniques for Computer Graphics [Paperback]

Provides a comprehensive and detailed coverage of the fundamentals of programming techniques for computer graphics

Uses lots of code examples, encouraging the reader to explore and experiment with data and computer programs (in the C programming language)

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.

Vector Algebra Survival Kit Some Basic Definitions and Notation Multiplication of a Vector by a Scalar Vector Addition Position Vectors and Free Vectors The Vector Equation of a Line Linear Dependence / Independence of Vectors Vector Bases The Components of a Vector Multiplication of a Vector by a Scalar Vector Addition Vector Equality Orthogonal, Orthonormal and Right-Handed Vector Bases Cartesian Bases and Cartesian Coordinates The Length of a Vector The Scalar Product of Vectors The Scalar Product Expresses in Terms of its Components Properties and Applications of the Scalar Product The Direction Ratios and Direction Cosines of a Vector The Vector Product of Two Vectors The Vector Product ExprelÛ