Part I: Geometric AlgebraNew Tools for Computational Geometry and Rejuvenation of Screw TheoryDavid HestenesTutorial: Structure Preserving Representation of Euclidean Motions through Conformal Geometric AlgebraLeo DorstEngineering Graphics in Geometric AlgebraAlyn Rockwood and Dietmar HildenbrandParametrization of 3D Conformal Transformations in Conformal Geometric AlgebraHongbo LiPart II: Clifford Fourier TransformTwo-Dimensional Clifford Windowed Fourier TransformMawardi Bahri, Eckhard M. S. Hitzer and Sriwulan AdjiThe Cylindrical Fourier TransformFred Brackx, Nele De Schepper, and Frank SommenAnalyzing Real Vector Fields with Clifford Convolution and Clifford Fourier TransformWieland Reich and Gerik ScheuermannClifford Fourier Transform for Color Image ProcessingThomas Batard, Michel Berthier and Christophe Saint-JeanHilbert Transforms in Clifford AnalysisFred Brackx, Bram De Knock and Hennie De SchepperPart III: Image Processing, Wavelets and NeurocomputingGeometric Neural Computing for 2D Contour and 3D Surface ReconstructionJorge Rivera-Rovelo, Eduardo Bayro-Corrochano and Ruediger DillmannGeometric Associative Memories and their Applications to Pattern ClassificationBenjamin Cruz, Ricardo Barron, Humberto SossaClassification and Clustering of Spatial Patterns with Geometric AlgebraMinh Tuan Pham, Kanta Tachibana, Eckhard M. S. Hitzer, Tomohiro Yoshikawa, and Takeshi FuruhashiQWT: Retrospective and New ApplicationsYi Xu, Xiaokang Yang, Li Song, Leonardo Traversoni and Wei LuPart IV: Computer VisionImage Sensor Model using Geometric Algebra: from Calibration to Motion EstimationThibaud Debaecker, Ryad Benosman and Sio H. IengModel-Based Visual Self-Localization Using Gaussian SpheresD. Gonzalez-Aguirre, T. Asfour, E. Bayro-Corrochano and R. DillmannPart V: Conformal Mapping and Fluid AnalysisGeometric Characterization of M-conformal MappingsK. Gürlebeck and J. MoraisFluid Flow Problems with Quaternionic Analysis: An Alternative ConceptionK. Gürlebeck and W. SprössigPart VI: Cristalography, Holography and ComplexityInteractive 3D Space Group Visualization with CLUCalc and Crystallographic Subperiodic Groups in Geometric AlgebraEckhard Hitzer, Christian Perwass and Daisuke IchikawaGeometric Algebra Model of Distributed RepresentationsAgnieszka PatykComputational Complexity Reductions using Clifford AlgebrasRené Schott and G. Stacey StaplesPart VII: Efficient Computing with Clifford (Geometric) AlgebraEfficient Algorithms for Factorization and Join of BladesDaniel Fontijne, Leo DorstGaalop - High Performance Parallel Computing based on Conformal Geometric AlgebraDietmar Hildenbrand, Joachim Pitt, Andreas KochSome Applications of Gröbner Bases in Robotics and EngineeringRafal Ablamowicz
Part I: Geometric AlgebraNew Tools for Computational Geometry and Rejuvenation of Screw TheoryDavid HestenesTutorial: Structure Preserving Representation of Euclidean Motions through Conformal Geometric AlgebraLeo DorstEngineering Graphics in Geometric AlgebraAlyn Rockwood and Dietmar HildenbrandParametrization of 3D Conformal Transformations in Conformal Geometric AlgebraHongbo LiPart II: Clifford Fourier TransformTwo-Dimensional Clifford Windowed Fourier TransformMawardi Bahri, Eckhard M. S. Hitzer and Sriwulan AdjiThe Cylindrical Fourier TransformFred Brackx, Nele De Schepper, and Frank SommenAnalyzing Real Vector Fields with Clifford Convolution and Clifford Fourier TransformWieland Reich and Gerik ScheuermannClifford Fourier Transform for Color Image ProcessingThomas Batard, Michel Berthier and Christophe Saint-JeanHilbert Transforms in Clifford AnalysisFred Brackx, Bram De Knock and Hennie De SchepperPart III: Image Processing, Wavelets and NeurocomputingGeometric Neural Computing for 2D Contour and 3D Surface ReconstructionJorge Rivera-Rovelo, Eduardo Bayro-Corrochano and Ruediger DillmannGeometric Associative Memories and their Applications to Pattern ClassificationBenjamin Cruz, Ricardo Barron, Humberto SossaClassification and Clustering of Spatial Patterns with Geometric AlgebraMinh Tuan Pham, Kanta Tachibana, Eckhard M. S. Hitzer, Tomohiro Yoshikawa, and Takeshi FuruhashiQWT: Retrospective and New ApplicationsYi Xu, Xiaokang Yang, Li Song, Leonardo Traversoni and Wei LuPart IV: Computer VisionImage Sensor Model using Geometric Algebra: from Calibration to Motion EstimationThibaud Debaecker, Ryad Benosman and Sio H. IengModel-Based Visual Self-Localization Using Gaussian SpheresD. Gonzalez-Aguirre, T. Asfour, E. Bayro-Corrochano and R. DillmannPart V: Conformal Mapping and Fluid AnalysisGeometric Characterization of M-conformal MappingsK. Gürlebeck and J. MoraisFluid Flow Problems with Quaternionic Analysis: An Alternative ConceptionK. Gürlebeck and W. SprössigPart VI: Cristalography, Holography and ComplexityInteractive 3D Space Group Visualization with CLUCalc and Crystallographic Subperiodic Groups in Geometric AlgebraEckhard Hitzer, Christian Perwass and Daisuke IchikawaGeometric Algebra Model of Distributed RepresentationsAgnieszka PatykComputational Complexity Reductions using Clifford AlgebrasRené Schott and G. Stacey StaplesPart VII: Efficient Computing with Clifford (Geometric) AlgebraEfficient Algorithms for Factorization and Join of BladesDaniel Fontijne, Leo DorstGaalop - High Performance Parallel Computing based on Conformal Geometric AlgebraDietmar Hildenbrand, Joachim Pitt, Andreas KochSome Applications of Gröbner Bases in Robotics and EngineeringRafal Ablamowicz
This monograph-like anthology introduces the concepts and framework of Clifford algebra. It provides a rich source of examples of how to work with this formalism. Clifford or geometric algebra shows...
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