Articles liés à Invariant Algebras and Geometric Reasoning

Invariant Algebras and Geometric Reasoning - Couverture rigide

Li, Hongbo

 
9789812708083: Invariant Algebras and Geometric Reasoning
Couverture rigide
ISBN 10 : 9812708081 ISBN 13 : 9789812708083
Editeur : World Scientific Publishing Co Pte Ltd, 2008

Synopsis

The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics among them, GrassmannCayley algebra and Geometric Algebra. Nowadays, they are used as powerful languages for projective, Euclidean and other classical geometries. This book contains the author and his collaborators' most recent, original development of GrassmannCayley algebra and Geometric Algebra and their applications in automated reasoning of classical geometries. It includes two of the three advanced invariant algebras Cayley bracket algebra, conformal geometric algebra, and null bracket algebra for highly efficient geometric computing. They form the theory of advanced invariants, and capture the intrinsic beauty of geometric languages and geometric computing. Apart from their applications in discrete and computational geometry, the new languages are currently being used in computer vision, graphics and robotics by many researchers worldwide.

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Présentation de l'éditeur

The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics among them, GrassmannCayley algebra and Geometric Algebra. Nowadays, they are used as powerful languages for projective, Euclidean and other classical geometries. This book contains the author and his collaborators' most recent, original development of GrassmannCayley algebra and Geometric Algebra and their applications in automated reasoning of classical geometries. It includes two of the three advanced invariant algebras Cayley bracket algebra, conformal geometric algebra, and null bracket algebra for highly efficient geometric computing. They form the theory of advanced invariants, and capture the intrinsic beauty of geometric languages and geometric computing. Apart from their applications in discrete and computational geometry, the new languages are currently being used in computer vision, graphics and robotics by many researchers worldwide.

Revue de presse

This carefully written book is intended for both researchers in geometric algebra and graduate students in mathematics. The first several sections of all chapters can also be used as an undergraduate course on Clifford algebras. --Zentralblatt MATH

Throughout, the book features a host of worked out examples and gives a very unified systematic presentation of a wide variety of material. --Mathematical Reviews

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

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2008
Langue
anglais
ISBN 10 
9812708081
ISBN 13 
9789812708083
Reliure
Relié
Nombre de pages
532
Coordonnées du fabricant
non disponible
Personne responsable
non disponible