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.
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Graduate students in discrete and computational geometry, and computer mathematics, mathematicians and computer scientists.
Produkt-Hinweis
Maße
Höhe: 254 mm
Breite: 176 mm
Dicke: 35 mm
Gewicht
ISBN-13
978-981-270-808-3 (9789812708083)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
Chinese Academy Of Sciences, China
Projective Space, Bracket Algebra and Grassmann-Cayley Algebra; Projective Incidence Geometry with Cayley Bracket Algebra; Projective Conic Geometry and Binary Grassmann-Cayley Algebra; Clifford Algebra and Geometric Algebra; Conformal Geometric Algebra for Classical Geometries; Null Bracket Algebra and Euclidean Geometry.
