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Geometric Algebra for Computer Science (Revised Edition)

Autor: Leo Dorst

Jazyk:

Vazba: Pevná

Vydavatel: Elsevier Science & Technology

Dostupnost: Skladem v malém množství

Odesíláme do 24 hodin

1 997 Kč

Until recently, all of the interactions between objects in virtual 3D worlds have been based on calc...

Informace o knize

Autor

Leo Dorst

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2009

Stránek

664

EAN

9780123749420

ISBN

0123749425

Enbook ID

04021005

Vydavatel

Elsevier Science & Technology

Hmotnost

1440

Rozměry

201 x 241 x 37

Kompletní popis

Until recently, all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even modest performance enhancements. Although linear algebra is an efficient way to specify low-level computations, it is not a suitable high-level language for geometric programming. "Geometric Algebra for Computer Science" presents a compelling alternative to the limitations of linear algebra. Geometric algebra, or GA, is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. In this book you will find an introduction to GA that will give you a strong grasp of its relationship to linear algebra and its significance for your work. You will learn how to use GA to represent objects and perform geometric operations on them. 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. This title explains GA as a natural extension of linear algebra and conveys its significance for 3D programming of geometry in graphics, vision, and robotics. It systematically explores the concepts and techniques that are key to representing elementary objects and geometric operators using GA. It covers in detail the conformal model, a convenient way to implement 3D geometry using a 5D representation space. It presents effective approaches to making GA an integral part of your programming. It includes numerous drills and programming exercises helpful for both students and practitioners. 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 conclude each chapter.