Overview

This book offers a gentle introduction to Clifford geometric algebra, an advanced mathematical framework, for applications in perception action systems. Part I, is written in an accessible way allowing readers to easily grasp the mathematical system of Clifford algebra. Part II presents related topics. While Part 3 features practical applications for Computer Vision, Robotics, Image Processing and Neural Computing. Topics and Features include: theory and application of the quaternion Fourier and wavelet transforms, thorough discussion on geometric computing under uncertainty, an entire chapter devoted to the useful conformal geometric algebra, presents examples and hints for the use of public domain computer programs for geometric algebra. The modern framework for geometric computing highlighted will be of great use for communities working on image processing, computer vision, artificial intelligence, neural networks, neuroscience, robotics, control engineering, human and robot interfaces, haptics and humanoids.

Full Product Details

Author:   Eduardo Bayro Corrochano
Publisher:   Springer London Ltd
Imprint:   Springer London Ltd
Dimensions:   Width: 16.00cm , Height: 3.80cm , Length: 24.00cm
Weight:   1.247kg
ISBN:  

9781848829282

ISBN 10:   1848829280
Pages:   650
Publication Date:   February 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Part I: Fundamentals of Geometric Algebra Introduction to Geometric Algebra Geometric Algebra for Modeling in Robot Physics Part II: Euclidean, Pseudo-Euclidean, Lie and Incidence Algebras and Conformal Geometries 2D, 3D and 4D Geometric Algebras Kinematics of the 2D and 3D Spaces Lie Algebras and Algebra of Incidence Using The Null Cone and Affine Plane Conformal Geometric Algebra Programming Issues Part III: Geometric Computing for Image Processing, Computer Vision and Neurocomputing Clifford Fourier and Wavelet Transforms Geometric Algebra of Computer Vision Geometric Neuralcomputing Part IV: Geometric Computing of Robot Kinematics and Dynamics Kinematics Dynamics Part V: Applications I: Image Processing, Computer Vision, Neurocomputing Applications of Lie Filters, Quaternion Fourier and Wavelet Transforms Invariants Theory in Computer Vision and Omnidirectional Vision Registration of 3D Points Using GA and Tensor Voting Applications in Neuralcomputing Neural Computing for 2D Contour and 3D Surface Reconstruction Part VI: Applications II: Robotics and Medical Robotics Rigid Motion Estimation Using Line Observations Tracker Endoscope Calibration and Body-Sensors Calibration Tracking, Grasping and Object Manipulation 3D Maps, Navigation and Relocalization Modeling and Registration of Medical Data Part VII: Appendix

Reviews

From the reviews: This book presents the theory and engineering applications of geometric algebra, a very powerful mathematical system. ! The results highlight that geometric algebra is a mathematical tool that can be used very advantageously in many engineering scenarios. ! has a real potential to convince a big audience of the benefits of using geometric algebra in engineering applications, and I hope that it will be successful. (Dietmar Hildenbrand, IAPR Newsletter, Vol. 33 (3), July, 2011) The theory and applications of geometric algebra (Clifford algebra), an advanced mathematical language, are addressed in this book. ! The book is aimed at a graduate-level audience ! . it can also be well suited for teaching a course or for self-study at the postgraduate level. Each chapter is accompanied by numerous examples and figures ! . also be useful to scientists and engineers who are working in various areas related to the development and building of intelligent machines. I really enjoyed reading it. (George K. Adam, ACM Computing Reviews, October, 2010)

From the reviews: This book presents the theory and engineering applications of geometric algebra, a very powerful mathematical system. ! The results highlight that geometric algebra is a mathematical tool that can be used very advantageously in many engineering scenarios. ! has a real potential to convince a big audience of the benefits of using geometric algebra in engineering applications, and I hope that it will be successful. (Dietmar Hildenbrand, IAPR Newsletter, Vol. 33 (3), July, 2011)

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