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Geometric algebra for computer science : an object-oriented approach to geometry
Authors: --- ---
ISBN: 1282258079 9786612258077 0080958796 0123749425 Year: 2007 Publisher: Amsterdam, [Netherlands] : Morgan Kaufmann Publishers,

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Abstract

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 limit

Geometric algebra for computer science : an object-oriented approach to geometry
Authors: --- ---
ISBN: 0123694655 9780123694652 9780123749420 0123749425 9786611049638 1281049638 0080553109 9786612258077 1282258079 0080958796 9780080553108 9780080958798 Year: 2007 Publisher: San Francisco, United States : Morgan Kaufmann,

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Abstract

Until recently, almost 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.--

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