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2005 | Buch

Handbook of Geometric Computing

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

verfasst von: Prof. Dr. Eduardo Bayro Corrochano

Verlag: Springer Berlin Heidelberg

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Über dieses Buch

Many computer scientists, engineers, applied mathematicians, and physicists use geometry theory and geometric computing methods in the design of perception-action systems, intelligent autonomous systems, and man-machine interfaces. This handbook brings together the most recent advances in the application of geometric computing for building such systems, with contributions from leading experts in the important fields of neuroscience, neural networks, image processing, pattern recognition, computer vision, uncertainty in geometric computations, conformal computational geometry, computer graphics and visualization, medical imagery, geometry and robotics, and reaching and motion planning. For the first time, the various methods are presented in a comprehensive, unified manner.

This handbook is highly recommended for postgraduate students and researchers working on applications such as automated learning; geometric and fuzzy reasoning; human-like artificial vision; tele-operation; space maneuvering; haptics; rescue robots; man-machine interfaces; tele-immersion; computer- and robotics-aided neurosurgery or orthopedics; the assembly and design of humanoids; and systems for metalevel reasoning.

Inhaltsverzeichnis

Frontmatter

Neuroscience

1. Spatiotemporal Dynamics of Visual Perception Across Neural Maps and Pathways
Haluk Öğmen
2. Symmetry, Features, and Information
Hamid R. Eghbalnia, Amir Assadi, Jim Townsend

Neural Networks

3. Geometric Approach to Multilayer Perceptrons
Hyeyoung Park, Tomoko Ozeki, Shun-ichi Amari
4. A Lattice Algebraic Approach to Neural Computation
Gerhard X. Ritter, Laurentiu Iancu
5. Eigenproblems in Pattern Recognition
Tijl De Bie, Nello Cristianini, Roman Rosipal

Image Processing

6. Geometric Framework for Image Processing
Jan J. Koenderink
7. Geometric Filters, Diffusion Flows, and Kernels in Image Processing
Alon Spira1, Nir Sochen, Ron Kimmel
8. Chaos-Based Image Encryption
Yaobin Mao, Guanrong Chen

Computer Vision

9. One-Dimensional Retinae Vision
Kalle Åström
10. Three-Dimensional Geometric Computer Vision
Anders Heyden
11. Dynamic to Alignment
Amnon Shashua, Lior Wolf
12. Detecting Independent 3D Movement
Abhijit S. Ogale, Cornelia Fermüller, Yiannis Aloimonos

Perception and Action

13. Robot Perception and Action Using Conformal Geometric Algebra
Eduardo Bayro-Corrochano

Uncertainty in Geometric Computations

14. Uncertainty Modeling and Geometric Inference
Kenichi Kanatani
15. Uncertainty and Projective Geometry
Wolfgang Förstner
16. The Tensor Voting Framework
Gérard Medioni, Philippos Mordohai, Mircea Nicolescu

Computer Graphics and Visualization

17. Methods for Nonrigid Image Registration
Lawrence H. Staib, Yongmei Michelle Wang
18. The Design of Implicit Functions for Computer Graphics
Alyn Rockwood

Geometry and Robotics

19. Grassmann-Cayley Algebra and Robotics Applications
Neil L. White
20. Clifford Algebra and Robot Dynamics
J. M. Selig
21. Geometric Methods for Multirobot Optimal Motion Planning
Calin Belta, Vijay Kumar

Reaching and Motion Planning

22. The Computation of Reachable Surfaces for a Specified Set of Spatial Displacements
J. Michael McCarthy, Hai-Jun Su
23. Planning Collision-Free Paths Using Probabilistic Roadmaps
Seth Hutchinson, Peter Leven
Backmatter
Metadaten
Titel
Handbook of Geometric Computing
verfasst von
Prof. Dr. Eduardo Bayro Corrochano
Copyright-Jahr
2005
Verlag
Springer Berlin Heidelberg
Electronic ISBN
978-3-540-28247-1
Print ISBN
978-3-540-20595-1
DOI
https://doi.org/10.1007/3-540-28247-5