Handbook of Geometric Computing (eBook)

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

Eduardo Bayro Corrochano (Herausgeber)

eBook Download: PDF

2005
XV, 779 Seiten
Springer Berlin (Verlag)
9783540282471 (ISBN)

Infos

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.

Inhalt

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

Produkt-Details

• Erscheint lt. Verlag: 6.12.2005
• Zusatzinfo: XV, 779 p.
• Verlagsort: Berlin
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik ► Grafik / Design
• Themenwelt: Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik
• Schlagworte: Artificial Intelligence • autonom • Computational Geometry • Computer Graphics • computer vision • fuzzy • Image Processing • Intelligent Autonomous Systems • Motion Planning • pattern recognition • robot • Robotics • Uncertainty • Visualization
• ISBN-13: 9783540282471 / 9783540282471