Geometric Algebra for Computer Science (Revised Edition): An Object-Oriented Approach to Geometry (The Morgan Kaufmann Series in Computer Graphics)

• Publisher:   Morgan Kaufmann
• Number Of Pages:   664
• Publication Date:   2009-04-06
• ISBN-10 / ASIN:   0123749425
• ISBN-13 / EAN:   9780123749420

In fields such as robotics, computer graphics, and computer games, it is necessary to compute complex interactions of objects in virtual 3D worlds. In a virtual world, there may be thousands of these objects interacting with each other in real-time. Linear algebra (vector math) is traditionally used to perform these calculations, but linear algebra requires long and complex computer programs to implement and can create very difficult programming challenges. Developers of real-time applications spend a lot of time trying to squeeze the last ounce of performance out of them. Geometric algebra (GA) is a new and compact way of representing the geometry of these objects that makes the computation and the programming of them much easier. Once only the domain of academic researchers, this book introduces GA to programmers, shows how it extends from linear algebra, and describes how to model geometries using GA. The last part of the book describes techniques for creating applications. A companion website link is included with GaViewer, a program written in C that allows programming experiments with GA. Geometric Algebra for Computer Science describes what many feel will be the future of geometrical computation. * The first book on Geometric Algebra for programmers in computer graphics and entertainment computing
* Written by leaders in the field providing essential information on this new technique for 3D graphics
* This full color book includes a website with GAViewer, a program to experiment with GA

Geometric Algebra (GA) is a unifying mathematical language that should be taught instead of or at least in combination with traditional vector analysis. Most other books on GA are aimed at Physicists. This book is a better match for Engineers and Programmers. The authors are all active researchers in applications of GA. They have done a comprehensive and up to date job of collecting, organizing and presenting the material for both beginners and those who follow the development of GA on the web. The examples and problems use GAViewer, an easy to learn programming language with an Open GL view window that can be downloaded for free from the book website. Using GAViewer with the book is very good way to learn GA, especially the 5D Conformal model of 3D space. The authors hold nothing back. Between the book, the code and the website everything is there to make learning GA fun and useful. I highly recommend this book.

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