Foundations of Geometric Algebra Computing - Couverture souple

Livre 7 sur 12: Geometry and Computing

Hildenbrand, Dietmar

 
9783642445729: Foundations of Geometric Algebra Computing
Couverture souple
ISBN 10 : 3642445721 ISBN 13 : 9783642445729
Editeur : Springer, 2015

Synopsis

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 geometric algebra there is a growing community in recent years applying geometric algebra to applications in computer vision, computer graphics, and robotics.

This book is organized into three parts: in Part I the author focuses on the mathematical foundations; in Part II he explains the interactive handling of geometric algebra; and in Part III he deals with computing technology for high-performance implementations based on geometric algebra as a domain-specific language in standard programming languages such as C++ and OpenCL. The book is written in a tutorial style and readers should gain experience with the associated freely available software packages and applications.

The book is suitable for students, engineers, and researchers in computer science, computational engineering, and mathematics.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Dr.-Ing. Dietmar Hildenbrand is a member of the Mathematics Department of the Technische Universität Darmstadt. He is one of the codevelopers of Gaalop (Geometic Algebra Algorithms Optimizer) a software package used to optimize geometric algebra files, and his research interests include geometric algebra, robotics, game engines, computer graphics, and high-performance parallel computing.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2015
Langue
anglais
ISBN 10 
3642445721
ISBN 13 
9783642445729
Reliure
Broché
Nombre de pages
224
Coordonnées du fabricant
non disponible
Personne responsable
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Hamburg
Allemagne

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9783642317934: Foundations of Geometric Algebra Computing

Edition présentée

ISBN 10 :  3642317936 ISBN 13 :  9783642317934
Editeur : Springer-Verlag Berlin and Heide..., 2012
Couverture rigide