Bayro Corrochano Handbook of Geometric Computing

Applications in Pattern Recognition, Computer Vision, Neuralcomputing, and Robotics
1. Auflage 2005
ISBN: 978-3-540-28247-1
Verlag: Springer Berlin Heidelberg
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 773 Seiten

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.

Researcher in geometric computing for cognitive systems Full Professor at the Computer Science Department of the Center of Research and Advanced Studies CINVESTAV, Guadalajara, Mexico Author and editor of books on geometric computing for computer science and engineering, reviewer, chair and active organiser of workshops and conferences on geometric computing for fields related to the design and building of perception action systems. Areas of research interest: pattern recognition, computer vision, neurocomputing, robotics, multidimensional image analysis, applications of Lie algebras and Clifford geometric algebra to cognitive systems.

Autoren/Hrsg.

Bayro Corrochano, Eduardo

Inhaltsverzeichnis

1;Preface;5
2;Contents;13
3;Neuroscience;16
3.1;1 Spatiotemporal Dynamics of Visual Perception Across Neural Maps and Pathways;17
3.2;2 Symmetry, Features, and Information;44
4;Neural Networks;79
4.1;3 Geometric Approach to Multilayer Perceptrons;80
4.2;4 A Lattice Algebraic Approach to Neural Computation;108
4.3;5 Eigenproblems in Pattern Recognition;139
5;Image Processing;178
5.1;6 Geometric Framework for Image Processing;179
5.2;7 Geometric Filters, Diffusion Flows, and Kernels in Image Processing;210
5.3;8 Chaos-Based Image Encryption;238
6;Computer Vision;273
6.1;9 One-Dimensional Retinae Vision;274
6.2;10 Three- imensional Geometric Computer Vision;310
6.3;11 Dynamic Pn to Pn Alignment;353
6.4;12 Detecting Independent 3D Movement;386
7;Perception and Action;405
7.1;13 Robot Perception and Action Using Conformal Geometric Algebra;406
8;Uncertainty in Geometric Computations;460
8.1;14 Uncertainty Modeling and Geometric Inference;461
8.2;15 Uncertainty and Projective Geometry;492
8.3;16 The Tensor Voting Framework;534
9;Computer Graphics and Visualization;568
9.1;17 Methods for Nonrigid Image Registration;569
9.2;18 The Design of Implicit Functions for Computer Graphics;601
10;Geometry and Robotics;625
10.1;19 Grassmann–Cayley Algebra and Robotics Applications;626
10.2;20 Clifford Algebra and Robot Dynamics;654
10.3;21 Geometric Methods for Multirobot Optimal Motion Planning;676
11;Reaching and Motion Planning;704
11.1;22 The Computation of Reachable Surfaces for a Specified Set of Spatial Displacements;705
11.2;23 Planning Collision-Free Paths Using Probabilistic Roadmaps;732
12;Index;763