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Handbook of Geometric Computing: Applications in Pattern Recognition, Computer Vision, Neuralcomputing, and Robotics

โœ Scribed by Prof. Dr. Eduardo Bayro Corrochano (auth.)


Publisher
Springer-Verlag Berlin Heidelberg
Year
2005
Tongue
English
Leaves
772
Edition
1
Category
Library

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โœฆ Synopsis


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.

โœฆ Table of Contents


Spatiotemporal Dynamics of Visual Perception Across Neural Maps and Pathways....Pages 1-29
Symmetry, Features, and Information....Pages 31-65
Geometric Approach to Multilayer Perceptrons....Pages 69-96
A Lattice Algebraic Approach to Neural Computation....Pages 97-127
Eigenproblems in Pattern Recognition....Pages 129-167
Geometric Framework for Image Processing....Pages 171-201
Geometric Filters, Diffusion Flows, and Kernels in Image Processing....Pages 203-230
Chaos-Based Image Encryption....Pages 231-265
One-Dimensional Retinae Vision....Pages 269-304
Three-Dimensional Geometric Computer Vision....Pages 305-347
Detecting Independent 3D Movement....Pages 349-381
Robot Perception and Action Using Conformal Geometric Algebra....Pages 383-401
Uncertainty Modeling and Geometric Inference....Pages 405-458
Uncertainty and Projective Geometry....Pages 461-491
The Tensor Voting Framework....Pages 493-534
Methods for Nonrigid Image Registration....Pages 535-568
The Design of Implicit Functions for Computer Graphics....Pages 571-602
Grassmann-Cayley Algebra and Robotics Applications....Pages 603-626
Clifford Algebra and Robot Dynamics....Pages 629-656
Geometric Methods for Multirobot Optimal Motion Planning....Pages 657-678
The Computation of Reachable Surfaces for a Specified Set of Spatial Displacements....Pages 679-706
Planning Collision-Free Paths Using Probabilistic Roadmaps....Pages 709-735
....Pages 737-767

โœฆ Subjects


Computing Methodologies; Artificial Intelligence (incl. Robotics); Computer Imaging, Vision, Pattern Recognition and Graphics; Computer Graphics; Image Processing and Computer Vision; Pattern Recognition


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