Geometric Algebra Computing

Part I: Geometric Algebra New Tools for Computational Geometry and Rejuvenation of Screw Theory David Hestenes Tutorial: Structure Preserving Representation of Euclidean Motions through Conformal Geometric Algebra Leo Dorst Engineering Graphics in Geometric Algebra Alyn Rockwood and Dietmar Hildenbrand Parametrization of 3D Conformal Transformations in Conformal Geometric Algebra Hongbo Li Part II: Clifford Fourier Transform Two-Dimensional Clifford Windowed Fourier Transform Mawardi Bahri, Eckhard M. S. Hitzer and Sriwulan Adji The Cylindrical Fourier Transform Fred Brackx, Nele De Schepper, and Frank Sommen Analyzing Real Vector Fields with Clifford Convolution and Clifford Fourier Transform Wieland Reich and Gerik Scheuermann Clifford Fourier Transform for Color Image Processing Thomas Batard, Michel Berthier and Christophe Saint-Jean Hilbert Transforms in Clifford Analysis Fred Brackx, Bram De Knock and Hennie De Schepper Part III: Image Processing, Wavelets and Neurocomputing Geometric Neural Computing for 2D Contour and 3D Surface Reconstruction Jorge Rivera-Rovelo, Eduardo Bayro-Corrochano and Ruediger Dillmann Geometric Associative Memories and their Applications to Pattern Classification Benjamin Cruz, Ricardo Barron, Humberto Sossa Classification and Clustering of Spatial Patterns with Geometric Algebra Minh Tuan Pham, Kanta Tachibana, Eckhard M. S. Hitzer, Tomohiro Yoshikawa, and Takeshi Furuhashi QWT: Retrospective and New Applications Yi Xu, Xiaokang Yang, Li Song, Leonardo Traversoni and Wei Lu Part IV: Computer Vision Image Sensor Model using Geometric Algebra: from Calibration to Motion Estimation Thibaud Debaecker, Ryad Benosman and Sio H. Ieng Model-Based Visual Self-Localization Using Gaussian Spheres D. Gonzalez-Aguirre, T. Asfour, E. Bayro-Corrochano and R. Dillmann Part V: Conformal Mapping and Fluid Analysis Geometric Characterization of M-conformal Mappings K. Gurlebeck and J. Morais Fluid Flow Problems with Quaternionic Analysis: An Alternative Conception K. Gurlebeck and W. Sprossig Part VI: Cristalography, Holography and Complexity Interactive 3D Space Group Visualization with CLUCalc and Crystallographic Subperiodic Groups in Geometric Algebra Eckhard Hitzer, Christian Perwass and Daisuke Ichikawa Geometric Algebra Model of Distributed Representations Agnieszka Patyk Computational Complexity Reductions using Clifford Algebras Rene Schott and G. Stacey Staples Part VII: Efficient Computing with Clifford (Geometric) Algebra Efficient Algorithms for Factorization and Join of Blades Daniel Fontijne, Leo Dorst Gaalop - High Performance Parallel Computing based on Conformal Geometric Algebra Dietmar Hildenbrand, Joachim Pitt, Andreas Koch Some Applications of Grobner Bases in Robotics and Engineering Rafal Ablamowicz