2005

Handbook of Geometric Computing

Applications in Pattern Recognition, Computer Vision, Neuralcomputing, and Robotics

Authors:

ISBN: 978-3-540-20595-1 (Print) 978-3-540-28247-1 (Online)

Table of contents (23 chapters)

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  1. Neuroscience

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      Book Chapter

      Pages 1-29

      Spatiotemporal Dynamics of Visual Perception Across Neural Maps and Pathways

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      Book Chapter

      Pages 31-65

      Symmetry, Features, and Information

  2. Neural Networks

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      Book Chapter

      Pages 69-96

      Geometric Approach to Multilayer Perceptrons

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      Book Chapter

      Pages 97-127

      A Lattice Algebraic Approach to Neural Computation

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      Book Chapter

      Pages 129-167

      Eigenproblems in Pattern Recognition

  3. Image Processing

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      Book Chapter

      Pages 171-201

      Geometric Framework for Image Processing

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      Book Chapter

      Pages 203-230

      Geometric Filters, Diffusion Flows, and Kernels in Image Processing

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      Book Chapter

      Pages 231-265

      Chaos-Based Image Encryption

  4. Computer Vision

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      Book Chapter

      Pages 269-304

      One-Dimensional Retinae Vision

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      Book Chapter

      Pages 305-347

      Three-Dimensional Geometric Computer Vision

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      Book Chapter

      Pages 349-381

      Dynamic \(\mathcal{P}^n \) to \(\mathcal{P}^n \) Alignment

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      Book Chapter

      Pages 383-401

      Detecting Independent 3D Movement

  5. Perception and Action

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      Book Chapter

      Pages 405-458

      Robot Perception and Action Using Conformal Geometric Algebra

  6. Uncertainty in Geometric Computations

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      Book Chapter

      Pages 461-491

      Uncertainty Modeling and Geometric Inference

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      Book Chapter

      Pages 493-534

      Uncertainty and Projective Geometry

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      Book Chapter

      Pages 535-568

      The Tensor Voting Framework

  7. Computer Graphics and Visualization

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      Book Chapter

      Pages 571-602

      Methods for Nonrigid Image Registration

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      Book Chapter

      Pages 603-626

      The Design of Implicit Functions for Computer Graphics

  8. Geometry and Robotics

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      Book Chapter

      Pages 629-656

      Grassmann-Cayley Algebra and Robotics Applications

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      Book Chapter

      Pages 657-678

      Clifford Algebra and Robot Dynamics

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