Geometric Tools for Computer Graphics (Hardcover)

Do you spend too much time creating the building blocks of your graphics applications or finding and correcting errors? Geometric Tools for Computer Graphics is an extensive, conveniently organized collection of proven solutions to fundamental problems that you'd rather not solve over and over again, including building primitives, distance calculation, approximation, containment, decomposition, intersection determination, separation, and more.  
 
 
If you have a mathematics degree, this book will save you time and trouble. If you don't, it will help you achieve things you may feel are out of your reach. Inside, each problem is clearly stated and diagrammed, and the fully detailed solutions are presented in easy-to-understand pseudocode. You also get the mathematics and geometry background needed to make optimal use of the solutions, as well as an abundance of reference material contained in a series of appendices

Contents

Preface  
1. Introduction  
2. Matrices and Linear Systems  
3. Vector Algebra  
4. Matrices, Vector Algebra, and Transformations  
5. Geometric Primitives in 2D  
6. Distance in 2D  
7. Intersection in 2D  
8. Miscellaneous 2D Problems  
9. Geometric Primitives in 3D  
10. Distance in 3D  
11. Intersection in 3D  
12. Miscellaneous 3D Problems  
13. Computational Geometry Topics  
A. Numerical Methods  
B. Trigonometry  
C. Basic Formulas For Geometric Primitives  
Bibliography