Eduardo Bayro Corrochano (ed.)

Handbook of Geometric Computing

Applications in Pattern Recognition, Computer Vision, Neuralcomputing, and Robotics
Herausgegeben:Bayro Corrochano, Eduardo

• Gebundenes Buch

Produktbeschreibung

This handbook addresses a broad audience of applied mathematicians, physicists, computer scientists, and engineers, bringing together under a single cover the most recent advances in the applications of geometric computing in the most important fields related to building perception action systems: computer vision, robotics, image processing and understanding, pattern recognition, computer graphics, quantum computers, brain theory and neural networks.

Various kinds of problems in these fields have been tackled using promising geometric methods, but such efforts have been mostly confined to specific disciplines. In this book we introduce diverse, powerful geometric methods in a unified manner, covering geometry theory and geometric computing methods related to the design of perception and action systems, intelligent autonomous systems and intelligent machines.

The book is suitable for postgraduate students and researchers working on the design of intelligent systems.

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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.

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Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 10937778, 978-3-540-20595-1
• 2005
• Seitenzahl: 796
• Erscheinungstermin: 7. Juli 2005
• Englisch
• Abmessung: 241mm x 160mm x 48mm
• Gewicht: 1240g
• ISBN-13: 9783540205951
• ISBN-10: 3540205950
• Artikelnr.: 13050297

Autorenporträt

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.

Inhaltsangabe

Neuroscience.- Spatiotemporal Dynamics of Visual Perception Across Neural Maps and Pathways.- Symmetry, Features, and Information.- Neural Networks.- Geometric Approach to Multilayer Perceptrons.- A Lattice Algebraic Approach to Neural Computation.- Eigenproblems in Pattern Recognition.- Image Processing.- Geometric Framework for Image Processing.- Geometric Filters, Diffusion Flows, and Kernels in Image Processing.- Chaos-Based Image Encryption.- Computer Vision.- One-Dimensional Retinae Vision.- Three-Dimensional Geometric Computer Vision.- Dynamic % MathType!MTEF!2!1!+- % feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbqefm0B1jxALjhiov2D % aebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY-Hhbbf9v8qqaq % Fr0xc9pk0xbba9q8WqFfea0-yr0RYxir-Jbba9q8aq0-yq-He9q8qq % Q8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaatu % uDJXwAK1uy0HwmaeHbfv3ySLgzG0uy0Hgip5wzaGqbaiab-9q8qnaa % CaaaleqabaWexLMBb50ujbqehq0BYngALnhDLjhitnMCPbhDG0evaG % GbaKqzafGae4NBa4gaaaaa!4FF9! $$mathcal{P}^n $$ to % MathType!MTEF!2!1!+- % feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbqefm0B1jxALjhiov2D % aebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY-Hhbbf9v8qqaq % Fr0xc9pk0xbba9q8WqFfea0-yr0RYxir-Jbba9q8aq0-yq-He9q8qq % Q8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaatu % uDJXwAK1uy0HwmaeHbfv3ySLgzG0uy0Hgip5wzaGqbaiab-9q8qnaa % CaaaleqabaWexLMBb50ujbqehq0BYngALnhDLjhitnMCPbhDG0evaG % GbaKqzafGae4NBa4gaaaaa!4FF9! $$mathcal{P}^n $$ Alignment.- Detecting Independent 3D Movement.- Perception and Action.- Robot Perception and Action Using Conformal Geometric Algebra.- Uncertainty in Geometric Computations.- Uncertainty Modeling and Geometric Inference.- Uncertainty and Projective Geometry.- The Tensor Voting Framework.- Computer Graphics and Visualization.- Methods for Nonrigid Image Registration.- The Design of Implicit Functions for Computer Graphics.- Geometry and Robotics.- Grassmann-Cayley Algebra and Robotics Applications.- Clifford Algebra and Robot Dynamics.- Geometric Methods for Multirobot Optimal Motion Planning.- Reaching and Motion Planning.- The Computation of Reachable Surfaces for a Specified Set of Spatial Displacements.- Planning Collision-Free Paths Using Probabilistic Roadmaps.

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Neuroscience.- Spatiotemporal Dynamics of Visual Perception Across Neural Maps and Pathways.- Symmetry, Features, and Information.- Neural Networks.- Geometric Approach to Multilayer Perceptrons.- A Lattice Algebraic Approach to Neural Computation.- Eigenproblems in Pattern Recognition.- Image Processing.- Geometric Framework for Image Processing.- Geometric Filters, Diffusion Flows, and Kernels in Image Processing.- Chaos-Based Image Encryption.- Computer Vision.- One-Dimensional Retinae Vision.- Three-Dimensional Geometric Computer Vision.- Dynamic % MathType!MTEF!2!1!+- % feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbqefm0B1jxALjhiov2D % aebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY-Hhbbf9v8qqaq % Fr0xc9pk0xbba9q8WqFfea0-yr0RYxir-Jbba9q8aq0-yq-He9q8qq % Q8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaatu % uDJXwAK1uy0HwmaeHbfv3ySLgzG0uy0Hgip5wzaGqbaiab-9q8qnaa % CaaaleqabaWexLMBb50ujbqehq0BYngALnhDLjhitnMCPbhDG0evaG % GbaKqzafGae4NBa4gaaaaa!4FF9! $$\mathcal{P}^n $$ to % MathType!MTEF!2!1!+- % feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbqefm0B1jxALjhiov2D % aebbnrfifHhDYfgasaacH8srps0lbbf9q8WrFfeuY-Hhbbf9v8qqaq % Fr0xc9pk0xbba9q8WqFfea0-yr0RYxir-Jbba9q8aq0-yq-He9q8qq % Q8frFve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaatu % uDJXwAK1uy0HwmaeHbfv3ySLgzG0uy0Hgip5wzaGqbaiab-9q8qnaa % CaaaleqabaWexLMBb50ujbqehq0BYngALnhDLjhitnMCPbhDG0evaG % GbaKqzafGae4NBa4gaaaaa!4FF9! $$\mathcal{P}^n $$ Alignment.- Detecting Independent 3D Movement.- Perception and Action.- Robot Perception and Action Using Conformal Geometric Algebra.- Uncertainty in Geometric Computations.- Uncertainty Modeling and Geometric Inference.- Uncertainty and Projective Geometry.- The Tensor Voting Framework.- Computer Graphics and Visualization.- Methods for Nonrigid Image Registration.- The Design of Implicit Functions for Computer Graphics.- Geometry and Robotics.- Grassmann-Cayley Algebra and Robotics Applications.- Clifford Algebra and Robot Dynamics.- Geometric Methods for Multirobot Optimal Motion Planning.- Reaching and Motion Planning.- The Computation of Reachable Surfaces for a Specified Set of Spatial Displacements.- Planning Collision-Free Paths Using Probabilistic Roadmaps.

Rezensionen

From the reviews:

"The Editor ... has brought together some of the current up-to-date applications of geometric computing with the aim of assisting those who are constructing such systems. This includes not only researchers but also postgraduate students and assistants who are involved in developing and studying such systems. ... a comprehensive list of the applications that would benefit from the contributions in this text which have been prepared by some of the leaders in fields that range from neuroscience and neural networks to medical imagery and robotics." (W. R. Howard, Kybenetes, Vol. 35 (5), 2006)