2010

Geometric Algebra Computing

in Engineering and Computer Science

Editors:

ISBN: 978-1-84996-107-3 (Print) 978-1-84996-108-0 (Online)

Table of contents (23 chapters)

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  1. Front Matter

    Pages I-XXII

  2. Geometric Algebra

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-33

      New Tools for Computational Geometry and Rejuvenation of Screw Theory

    3. No Access

      Book Chapter

      Pages 35-52

      Tutorial: Structure-Preserving Representation of Euclidean Motions Through Conformal Geometric Algebra

    4. No Access

      Book Chapter

      Pages 53-69

      Engineering Graphics in Geometric Algebra

    5. No Access

      Book Chapter

      Pages 71-90

      Parameterization of 3D Conformal Transformations in Conformal Geometric Algebra

  3. Clifford Fourier Transform

    1. Front Matter

      Pages 91-91

    2. No Access

      Book Chapter

      Pages 93-106

      Two-Dimensional Clifford Windowed Fourier Transform

    3. No Access

      Book Chapter

      Pages 107-119

      The Cylindrical Fourier Transform

    4. No Access

      Book Chapter

      Pages 121-133

      Analyzing Real Vector Fields with Clifford Convolution and Clifford–Fourier Transform

    5. No Access

      Book Chapter

      Pages 135-162

      Clifford–Fourier Transform for Color Image Processing

    6. No Access

      Book Chapter

      Pages 163-187

      Hilbert Transforms in Clifford Analysis

  4. Image Processing, Wavelets and Neurocomputing

    1. Front Matter

      Pages 189-189

    2. No Access

      Book Chapter

      Pages 191-209

      Geometric Neural Computing for 2D Contour and 3D Surface Reconstruction

    3. No Access

      Book Chapter

      Pages 211-230

      Geometric Associative Memories and Their Applications to Pattern Classification

    4. No Access

      Book Chapter

      Pages 231-247

      Classification and Clustering of Spatial Patterns with Geometric Algebra

    5. No Access

      Book Chapter

      Pages 249-273

      QWT: Retrospective and New Applications

  5. Computer Vision

    1. Front Matter

      Pages 275-275

    2. No Access

      Book Chapter

      Pages 277-297

      Image Sensor Model Using Geometric Algebra: From Calibration to Motion Estimation

    3. No Access

      Book Chapter

      Pages 299-324

      Model-Based Visual Self-localization Using Gaussian Spheres

  6. Conformal mapping and Fluid Analysis

    1. Front Matter

      Pages 325-325

    2. No Access

      Book Chapter

      Pages 327-343

      Geometric Characterization of -Conformal Mappings

    3. No Access

      Book Chapter

      Pages 345-381

      Fluid Flow Problems with Quaternionic Analysis—An Alternative Conception

  7. Cristalography, Holography and Complexity

    1. Front Matter

      Pages 383-383

    2. No Access

      Book Chapter

      Pages 385-400

      Interactive 3D Space Group Visualization with CLUCalc and Crystallographic Subperiodic Groups in Geometric Algebra

    3. No Access

      Book Chapter

      Pages 401-430

      Geometric Algebra Model of Distributed Representations

    4. No Access

      Book Chapter

      Pages 431-453

      Computational Complexity Reductions Using Clifford Algebras

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