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. Features Filled with robust, thoroughly tested solutions that will save you time and help you avoid costly errors. Covers problems relevant for both 2D and 3D graphics programming. Presents each problem and solution in stand-alone form allowing you the option of reading only those entries that matter to you. Provides the math and geometry background you need to understand the solutions and put them to work. Clearly diagrams each problem and presents solutions in easy-to-understand pseudocode. Resources associated with the book are available at the companion Web site www.mkp.com/gtcg. * Filled with robust, thoroughly tested solutions that will save you time and help you avoid costly errors. * Covers problems relevant for both 2D and 3D graphics programming. * Presents each problem and solution in stand-alone form allowing you the option of reading only those entries that matter to you. * Provides the math and geometry background you need to understand the solutions and put them to work. * Clearly diagrams each problem and presents solutions in easy-to-understand pseudocode. * Resources associated with the book are available at the companion Web site www.mkp.com/gtcg.
Geometric Tools for Computer Graphics by Philip J. Schneider and David H. Eberly
The book discusses fundamental tools in analytical geometry and linear algebra. It covers a wide range of topics
While the basic theory is completely covered, the emphasis of the book is not on abstract proofs but rather on examples and algorithms.
A complete overview of the geometry associated with computer graphics that provides everything a reader needs to understand the topic.
Filled with lots of clear examples and useful illustrations, this compact book provides an excellent introduction to geometric algebra for computer graphics.
'x-I-a Figure 8.1: Directional differentiation of a vector inversion. The small additive perturbation vector a is reflected in the plane with normal x to make —xax-1, and the result scaled by 1/x2 to produce —x-I ax-1 as the correct ...
This book focuses on algorithms and geometric data structures that have proven to be versatile, efficient and fundamental.
This is a how-to book for solving geometric problems robustly or error free in actual practice.
Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modeling, this two-volume work covers implementation and theory in a thorough and systematic fashion.
[EM85] H. Edelsbrunner and H. A. Maurer. Finding extreme points in three dimensions and solving the post-office problem in the plane. Inform. Process. Lett., 21:39–47, 1985. [Eng02] Wolfgang F. Engel, ed. Direct3D ShaderX: Vertex and ...