Invariant Algebras And Geometric Reasoning
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A01=Hongbo Li
Author_Hongbo Li
Automated Theorem Proving
Bracket Algebra
Category=PBF
Category=PBM
Category=PBMS
Category=PBMW
Category=UYQ
Computational Geometry
Discrete Geometry
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eq_computing
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
Geometric Algebra
Geometric Invariance
Geometric Reasoning
Grassmann-Cayley Algebra
Invariant Theory
Projective Geometry
Product details
- ISBN 9789812708083
- Publication Date: 10 Mar 2008
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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 and his collaborators' most recent, original development of Grassmann-Cayley 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.
