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, i...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Hildenbrand, Dietmar (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Édition:1st ed. 2013.
Collection:Geometry and Computing, 8
Sujets:
Image processing-Digital techniques.
Computer vision.
Geometry.
Engineering mathematics.
Engineering-Data processing.
Computer Imaging, Vision, Pattern Recognition and Graphics.
Mathematical and Computational Engineering Applications.
Accès en ligne:Texto Completo
Table des matières:
  • 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.

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