Geometric Algebra with Applications in Science and Engineering
Springer-Verlag New York Inc.
978-1-4612-6639-6 (ISBN)
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.
Zusatzinfo | XXVI, 592 p. |
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Verlagsort | New York |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Technik ► Elektrotechnik / Energietechnik | |
ISBN-10 | 1-4612-6639-4 / 1461266394 |
ISBN-13 | 978-1-4612-6639-6 / 9781461266396 |
Zustand | Neuware |
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