Geometric Algebra Computing in Engineering and Computer Science [Paperback]

This useful text offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications across a range of disciplines. Its accessible style is enhanced by examples, figures and experimental analysis.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. AsfoulSÃ