Geometric Algebra for Computer Science - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Algebra for Computer Science write by Leo Dorst. This book was released on 2010-07-26. Geometric Algebra for Computer Science available in PDF, EPUB and Kindle. 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
Applications of Geometric Algebra in Computer Science and Engineering
Applications of Geometric Algebra in Computer Science and Engineering - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Applications of Geometric Algebra in Computer Science and Engineering write by Leo Dorst. This book was released on 2012-12-06. Applications of Geometric Algebra in Computer Science and Engineering available in PDF, EPUB and Kindle. Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an interdisciplinary approach to the subject, and highlight a range of techniques and applications. Relevant ideas are introduced in a self-contained manner and only a knowledge of linear algebra and calculus is assumed. Features and Topics: * The mathematical foundations of geometric algebra are explored * Applications in computational geometry include models of reflection and ray-tracing and a new and concise characterization of the crystallographic groups * Applications in engineering include robotics, image geometry, control-pose estimation, inverse kinematics and dynamics, control and visual navigation * Applications in physics include rigid-body dynamics, elasticity, and electromagnetism * Chapters dedicated to quantum information theory dealing with multi- particle entanglement, MRI, and relativistic generalizations Practitioners, professionals, and researchers working in computer science, engineering, physics, and mathematics will find a wide range of useful applications in this state-of-the-art survey and reference book. Additionally, advanced graduate students interested in geometric algebra will find the most current applications and methods discussed.
Geometric Algebra Computing
Geometric Algebra Computing - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Algebra Computing write by Eduardo Bayro-Corrochano. This book was released on 2010-05-19. Geometric Algebra Computing available in PDF, EPUB and Kindle. This useful text offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications across a range of disciplines. Its accessible style is enhanced by examples, figures and experimental analysis.
Geometric Algebra for Computer Graphics
Geometric Algebra for Computer Graphics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Algebra for Computer Graphics write by John Vince. This book was released on 2008-04-21. Geometric Algebra for Computer Graphics available in PDF, EPUB and Kindle. Geometric algebra (a Clifford Algebra) has been applied to different branches of physics for a long time but is now being adopted by the computer graphics community and is providing exciting new ways of solving 3D geometric problems. The author tackles this complex subject with inimitable style, and provides an accessible and very readable introduction. The book is filled with lots of clear examples and is very well illustrated. Introductory chapters look at algebraic axioms, vector algebra and geometric conventions and the book closes with a chapter on how the algebra is applied to computer graphics.
Geometric Algebra: An Algebraic System for Computer Games and Animation
Geometric Algebra: An Algebraic System for Computer Games and Animation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Algebra: An Algebraic System for Computer Games and Animation write by John A. Vince. This book was released on 2009-05-20. Geometric Algebra: An Algebraic System for Computer Games and Animation available in PDF, EPUB and Kindle. Geometric algebra is still treated as an obscure branch of algebra and most books have been written by competent mathematicians in a very abstract style. This restricts the readership of such books especially by programmers working in computer graphics, who simply want guidance on algorithm design. Geometric algebra provides a unified algebraic system for solving a wide variety of geometric problems. John Vince reveals the beauty of this algebraic framework and communicates to the reader new and unusual mathematical concepts using colour illustrations, tabulations, and easy-to-follow algebraic proofs. The book includes many worked examples to show how the algebra works in practice and is essential reading for anyone involved in designing 3D geometric algorithms.
