ISBN: 9789812770110

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 … mais…

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.Contents:Projective Space, Bracket Algebra and Grassmann–Cayley AlgebraProjective Incidence Geometry with Cayley Bracket AlgebraProjective Conic Geometry with Bracket Algebra and Quadratic Grassmann-Cayley AlgebraInner-product Bracket Algebra and Clifford AlgebraGeometric AlgebraEuclidean Geometry and Conformal Grassmann–Cayley AlgebraConformal Clifford Algebra and Classical GeometriesReadership: Graduate students in discrete and computational geometry, and computer mathematics; mathematicians and computer scientists.; ; Scientific, Technical and Medical > Mathematics > Algebra; GBP<

ISBN: 9789812770110

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 … mais…

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. 9789812708083,9789812770110,9812708081,9812770119 Other pricing structure might be available at vitalsource.com., World Scientific Publishing<

2008, ISBN: 9789812770110

The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics â among them, Grassmann-Cayley … mais…

The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics â 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 â Cayley bracket algebra, conformal geometric algebra, and null bracket algebra â 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. Invariant Algebras And Geometric Reasoning eBook PDF 04.03.2008 eBooks>Fremdsprachige eBooks>Englische eBooks, World Scientific Publishing Company, .200<

ISBN: 9789812770110

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 … mais…

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.; PDF; Scientific, Technical and Medical > Mathematics > Algebra, World Scientific Publishing Company<

2008, ISBN: 9789812770110

eBooks, eBook Download (PDF), [PU: World Scientific Publishing Company], World Scientific Publishing Company, 2008