Geometric Algebra for Computer Science
eBook - PDF

Geometric Algebra for Computer Science

An Object-Oriented Approach to Geometry

  1. 663 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Geometric Algebra for Computer Science

An Object-Oriented Approach to Geometry

About this book

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. * 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 colour book includes a website with GAViewer, a program to experiment with GA

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Yes, you can access Geometric Algebra for Computer Science by Leo Dorst,Daniel Fontijne,Stephen Mann in PDF and/or ePUB format, as well as other popular books in Computer Science & Computer Graphics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Front Cover
  2. Geometric Algebra for Computer Science: An Object-oriented Approach to Geometry
  3. Copyright Page
  4. Contents
  5. LIST OF FIGURES
  6. LIST OF TABLES
  7. LIST OF PROGRAMMING EXAMPLES
  8. PREFACE
  9. CHAPTER 1. WHY GEOMETRIC ALGEBRA?
  10. PART I: GEOMETRIC ALGEBRA
  11. PART II: MODELS OF GEOMETRIES
  12. PART III: IMPLEMENTING GEOMETRIC ALGEBRA
  13. PART IV: APPENDICES
  14. BIBLIOGRAPHY
  15. INDEX