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Handbook of Geometric Computing

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

  • Book
  • © 2005

Overview

  • Consulting textbook for graduate courses and for researchers seeking powerful geometric methods
  • Great use for specialists working in a particular field or for those who are interested in procedures for dealing with concurrent techniques of different fields like in the design of perception action systems
  • Emphasizes the modern ways and formalisms for the representation and processing of geometric entities and the numerical solutions of equations involving geometric constraints often derived from the problem context
  • The knowledge of all application domains is not required, only very basic notions on geometry
  • The mathematical background will be presented at the beginning of each chapter
  • Includes supplementary material: sn.pub/extras

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Table of contents (23 chapters)

  1. Neuroscience

  2. Neural Networks

  3. Image Processing

  4. Computer Vision

  5. Perception and Action

  6. Uncertainty in Geometric Computations

  7. Computer Graphics and Visualization

  8. Geometry and Robotics

Keywords

About this book

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.

Reviews

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)

Authors and Affiliations

  • Cinvestav Unidad Guadalajara, Ciencias de la Computación, Jalisco, México

    Eduardo Bayro Corrochano

About the author

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.

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