Foundations of Geometric Algebra Computing
The author defines “Geometric Algebra Computing” as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive m...
Main Author: | |
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Format: | eBook |
Language: | English |
Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2013, 2013
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Edition: | 1st ed. 2013 |
Series: | Geometry and Computing
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Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Chap. 1 Introduction
- Chap. 2 Mathematical Introduction
- Chap. 3 The Conformal Geometric Algebra
- Chap. 4 Maple and the Identification of Quaternions and Other Algebras
- Chap. 5 Fitting of Planes or Spheres into Point Sets
- Chap. 6 Geometric Algebra Tutorial Using CLUCalc
- Chap. 7 Inverse Kinematics of a Simple Robot
- Chap. 8 Robot Grasping an Object
- Chap. 9 Efficient Computer Animation Application in CGA
- Chap. 10 Using Gaalop for Performant Geometric Algebra Computing
- Chap. 11 Collision Detection Using the Gaalop Precompiler
- Chap. 12 Gaalop Precompiler for GPGPUs
- Chap. 13 Molecular Dynamics Using Gaalop GPC for OpenCL
- Chap. 14 Geometric Algebra Computers