Geometric Algebra for Computer Science (Revised Edition): An Object-Oriented Approach to Geometry (The Morgan Kaufmann Series in Computer Graphics)
| Author | : | |
| Rating | : | 4.17 (780 Votes) |
| Asin | : | 0123749425 |
| Format Type | : | paperback |
| Number of Pages | : | 664 Pages |
| Publish Date | : | 2017-12-22 |
| Language | : | English |
DESCRIPTION:
His main professional interests are computer graphics, motion capture, and computer vision. . in Computer Science, both from the University of Amsterdam. Daniel Fontijne holds a Master’s degree in artificial Intelligence and a Ph.D
It has excellent discussions of how to actually implement GA on the computer. Longmont, Colorado . While requiring serious study, it has deep and powerful insights into GA’s usage. Experts will delight in the refreshing perspective GA gives to every topic, large and small. Alyn Rockwood, CTO, FreeDesign, Inc. Within the last decade, Geometric Algebra (GA) has emerged as a powerful alternative to classical matrix algebra as a comprehensive conceptual language and computational system for computer science. As a textbook, it provides a thorough grounding in the fundamentals of GA, with many illustrations, exercises and applications. This book will serve as a standard introduction and reference to the subject for students and experts alike. -David Hestenes, Distinguished research
Explains GA as a natural extension of linear algebra and conveys its significance for 3D programming of geometry in graphics, vision, and robotics. . And you will begin mastering proven techniques for making GA an integral part of your applications in a way that simplifies your code without slowing it down. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complexoften a lot of effort is required to bring about even modest performance enhancements. Presents effective approaches to making GA an integral part of your programming. Until recently, all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Companion web site includes links to GAViewer, a program that will allow you to interact with many of the 3D figures in the book, and Gaigen 2, the platform for the instructive programming exercises that conc
An excellent introduction to the subject. Peeter Joot The book Geometric Algebra For Computer Science, by Dorst, Fontijne, and Mann has one of the best introductions to the subject that I have seen.It contains particularly good introductions to the dot and wedge products and how they can be applied and what they can be used to model. After one gets comfortable with these ideas they introduce the subject axiomatically. Much of the pre-axiomatic introductory material is based on the use of the scalar produ. J. Hanlon said A reader from Los Alamos, NM. 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 . very good text T. Czyczko This is the text I would first recommend to anyone involved in geometrical programming who would like to learn geometrical algebra.