Foundations of Geometric Algebra Computing

• Main Author: Hildenbrand, Dietmar. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Geometry and Computing, 8
• Subjects: Computer science.; Computer vision.; Geometry.; Engineering mathematics.; Computer Science.; Computer Imaging, Vision, Pattern Recognition and Graphics.; Appl.Mathematics/Computational Methods of Engineering.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-31794-1

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...

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.