Geometric Algebra Computing 2010

Geometric Algebra

• David Hestenes:
  New Tools for Computational Geometry and Rejuvenation of Screw Theory. 3-33
  
• Leo Dorst:
  Tutorial: Structure-Preserving Representation of Euclidean Motions Through Conformal Geometric Algebra. 35-52
  
• Alyn Rockwood, Dietmar Hildenbrand:
  Engineering Graphics in Geometric Algebra. 53-69
  
• Hongbo Li:
  Parameterization of 3D Conformal Transformations in Conformal Geometric Algebra. 71-90
  

Clifford Fourier Transform

• Mawardi Bahri, Eckhard S. M. Hitzer, Sriwulan Adji:
  Two-Dimensional Clifford Windowed Fourier Transform. 93-106
  
• Fred Brackx, Nele De Schepper, Frank Sommen:
  The Cylindrical Fourier Transform. 107-119
  
• Wieland Reich, Gerik Scheuermann:
  Analyzing Real Vector Fields with Clifford Convolution and Clifford-Fourier Transform. 121-133
  
• Thomas Batard, Michel Berthier, Christophe Saint-Jean:
  Clifford-Fourier Transform for Color Image Processing. 135-162
  
• Fred Brackx, Bram De Knock, Hennie De Schepper:
  Hilbert Transforms in Clifford Analysis. 163-187
  

Image Processing, Wavelets and Neurocomputing

• Jorge Rivera-Rovelo, Eduardo Bayro-Corrochano, Rüdiger Dillmann:
  Geometric Neural Computing for 2D Contour and 3D Surface Reconstruction. 191-209
  
• Benjamín Cruz, Ricardo Barrón, Humberto Sossa:
  Geometric Associative Memories and Their Applications to Pattern Classification. 211-230
  
• Minh Tuan Pham, Kanta Tachibana, Eckhard M. S. Hitzer, Tomohiro Yoshikawa, Takeshi Furuhashi:
  Classification and Clustering of Spatial Patterns with Geometric Algebra. 231-247
  
• Yi Xu, Xiaokang Yang, Li Song, Leonardo Traversoni, Wei Lu:
  QWT: Retrospective and New Applications. 249-273
  

Computer Vision

• Thibaud Debaecker, Ryad Benosman, Sio-Hoi Ieng:
  Image Sensor Model Using Geometric Algebra: From Calibration to Motion Estimation. 277-297
  
• David Israel Gonzalez-Aguirre, Tamim Asfour, Eduardo Bayro-Corrochano, Rüdiger Dillmann:
  Model-Based Visual Self-localization Using Gaussian Spheres. 299-324
  

Conformal mapping and Fluid Analysis

• Klaus Gürlebeck, João Morais:
  Geometric Characterization of -Conformal Mappings. 327-343
  
• Klaus Gürlebeck, Wolfgang Sprößig:
  Fluid Flow Problems with Quaternionic Analysis - An Alternative Conception. 345-381
  

Cristalography, Holography and Complexity

• Eckhard M. S. Hitzer, Christian Perwass, Daisuke Ichikawa:
  Interactive 3D Space Group Visualization with CLUCalc and Crystallographic Subperiodic Groups in Geometric Algebra. 385-400
  
• Agnieszka Patyk:
  Geometric Algebra Model of Distributed Representations. 401-430
  
• René Schott, G. Stacey Staples:
  Computational Complexity Reductions Using Clifford Algebras. 431-453
  

Efficient Computing with Clifford (Geometric) Algebra

• Daniel Fontijne, Leo Dorst:
  Efficient Algorithms for Factorization and Join of Blades. 457-476
  
• Dietmar Hildenbrand, Joachim Pitt, Andreas Koch:
  Gaalop - High Performance Parallel Computing Based on Conformal Geometric Algebra. 477-494
  
• Rafal Ablamowicz:
  Some Applications of Gröbner Bases in Robotics and Engineering. 495-517
  

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