Invariant algebras and geometric reasoning /:

The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics - among them, Grassmann-Cayley algebra and geometric algebra. Nowadays, they are used as powerful languages for projective, Euclidean and other...

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Bibliographic Details
Main Author: Li, Hongbo
Format: Electronic eBook
Language:English
Published: Singarore ; Hackensack, N.J. : World Scientific, ©2008.
Subjects:
Online Access:DE-862
DE-863
Summary:The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics - among them, Grassmann-Cayley algebra and geometric algebra. Nowadays, they are used as powerful languages for projective, Euclidean and other classical geometries. This book contains the author's most recent, original development of Grassmann-Cayley algebra and geometric algebra and their applications in automated reasoning of classical geometries. It includes 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.
Physical Description:1 online resource (xiv, 518 pages) : illustrations
Bibliography:Includes bibliographical references (pages 495-504) and index.
ISBN:9789812770110
9812770119
1281919004
9781281919007
9786611919009
6611919007

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