Geometric Algebra for Computer Science : An Object-Oriented Approach to Geometry download book
Geometric Algebra for Computer Science : An Object-Oriented Approach to Geometry download book
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Author: Stephen Mann
Number of Pages: 664 pages
Published Date: 01 May 2009
Publisher: ELSEVIER SCIENCE & TECHNOLOGY
Publication Country: San Francisco, United States
Language: English
ISBN: 9780123749420
File size: 26 Mb
File Name: Geometric.Algebra.for.Computer.Science.An.Object-Oriented.Approach.to.Geometry.pdf
Download Link: Geometric Algebra for Computer Science An Object-Oriented Approach to Geometry
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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.
Read online Geometric Algebra for Computer Science : An Object-Oriented Approach to Geometry Buy and read online Geometric Algebra for Computer Science : An Object-Oriented Approach to Geometry Download and read Geometric Algebra for Computer Science : An Object-Oriented Approach to Geometry for pc, mac, kindle, readers Download to iPad/iPhone/iOS, B&N nook Geometric Algebra for Computer Science : An Object-Oriented Approach to Geometry
Geometric Algebra for Computer Science : An Object-Oriented Approach to Geometry by Stephen Mann
Author: Stephen Mann
Number of Pages: 664 pages
Published Date: 01 May 2009
Publisher: ELSEVIER SCIENCE & TECHNOLOGY
Publication Country: San Francisco, United States
Language: English
ISBN: 9780123749420
File size: 26 Mb
File Name: Geometric.Algebra.for.Computer.Science.An.Object-Oriented.Approach.to.Geometry.pdf
Download Link: Geometric Algebra for Computer Science An Object-Oriented Approach to Geometry
---------------------------------------------------------------
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.
Read online Geometric Algebra for Computer Science : An Object-Oriented Approach to Geometry Buy and read online Geometric Algebra for Computer Science : An Object-Oriented Approach to Geometry Download and read Geometric Algebra for Computer Science : An Object-Oriented Approach to Geometry for pc, mac, kindle, readers Download to iPad/iPhone/iOS, B&N nook Geometric Algebra for Computer Science : An Object-Oriented Approach to Geometry