Title | Geometric Algebra with Applications in Science and Engineering [electronic resource] / edited by Eduardo Bayro Corrochano, Garret Sobczyk |
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Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 2001 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-0159-5 |
Descript | XXVI, 592 p. online resource |
I Advances in Geometric Algebra -- 1 Old Wine in New Bottles: A New Algebraic Framework for Computational Geometry -- 2 Universal Geometric Algebra -- 3 Realizations of the Conformal Group -- 4 Hyperbolic Geometry -- II Theorem Proving -- 5 Geometric Reasoning With Geometric Algebra -- 6 Automated Theorem Proving -- III Computer Vision -- 7 The Geometry Algebra of Computer Vision -- 8 Using Geometric Algebra for Optical Motion Capture -- 9 Bayesian Inference and Geometric Algebra: An Application to Camera Localization -- 10 Projective Reconstruction of Shape and Motion Using Invariant Theory -- IV Robotics -- 11 Robot Kinematics and Flags -- 12 The Clifford Algebra and the Optimization of Robot Design -- 13 Applications of Lie Algebras and the Algebra of Incidence -- V Quantum and Neural Computing, and Wavelets -- 14 Geometric Algebra in Quantum Information Processing by Nuclear Magnetic Resonance -- 15 Geometric Feedforward Neural Networks and Support Mul- tivector Machines -- 16 Image Analysis Using Quaternion Wavelets -- VI Applications to Engineering and Physics -- 17 Objects in Contact: Boundary Collisions as Geometric Wave Propagation -- 18 Modern Geometric Calculations in Crystallography -- 19 Quaternion Optimization Problems in Engineering -- 20 Clifford Algebras in Electrical Engineering -- 21 Applications of Geometric Algebra in Physics and Links With Engineering -- VII Computational Methods in Clifford Algebras -- 22 Clifford Algebras as Projections of Group Algebras -- 23 Counterexamples for Validation and Discovering of New Theorems -- 24 The Making of GABLE: A Geometric Algebra Learning Environment in Matlab -- 25 Helmstetter Formula and Rigid Motions with CLIFFORD -- References