Foundations of Geometric Algebra Computing

Format:

Book

Author/Creator:

Hildenbrand, Dietmar

Series:

Geometry and computing

Geometry and Computing v. 8

Language:

English

Subjects (All):

Clifford algebras--Data processing.

Clifford algebras.

Mathematics.

mathematics.

applied mathematics.

Computer science.

Computer vision.

Engineering mathematics.

Geometry.

Medical Subjects:

Mathematics.

Physical Description:

1 online resource

Place of Publication:

Dordrecht Springer 2012

Summary:

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 mathematical language for engineering applications in academia and industry. The related technology is driven by the invention of conformal geometric algebra as a 5D extension of the 4D projective geometric algebra and by the recent progress in parallel processing, and with the specific conformal geo

Contents:

Mathematical Foundations Mathematical Introduction Conformal Geometric Algebra Maple and the Identification of Quaternions and Other Algebras Fitting of Planes or Spheres to Sets of Points Interactive and Visual Geometric Algebra Computing A Tutorial on Geometric Algebra Using CLUCalc Inverse Kinematics of a Simple Robot Robot Grasping an Object Runtime Performance of Geometric Algebra Computing Efficient Computer Animation Application in CGA Using Gaalop for High-Performance Geometric Algebra Computing Collision Detection Using the Gaalop Precompiler The Gaalop Precompiler for GPUs Molecular Dynamics Using Gaalop GPC for OpenCL Geometric Algebra Computers

Notes:

Includes bibliographical references and index

Other Format:

Print version Hildenbrand, Dietmar. Foundations of Geometric Algebra Computing

ISBN:

9783642317941

3642317944

OCLC:

824455709

Access Restriction:

Restricted for use by site license