Description |
1 online resource (xxviii, 622 pages) : illustrations (some color) |
Contents |
Geometric Computing; Foreword; Preface; Part I Fundamentals of Geometric Algebra; 1 Introduction to Geometric Algebra; 2 Geometric Algebra for Modeling in Robot Physics; Part II Euclidean, Pseudo-Euclidean, Lie and Incidence Algebras, and Conformal Geometries; 3 2D, 3D, and 4D Geometric Algebras; 4 Kinematics of the 2D and 3D Spaces; 5 Lie Algebras and the Algebra of Incidence Using the Null Cone and Affine Plane; 6 Conformal Geometric Algebra; 7 Programming Issues; Part III Geometric Computing for Image Processing, Computer Vision, and Neurocomputing; 8 Clifford-Fourier and Wavelet Transforms |
Summary |
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 |
Bibliography |
Includes bibliographical references (pages 603-611) and index |
Notes |
Print version record |
Subject |
Clifford algebras.
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Geometry -- Data processing
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Geometry -- Computer programs
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MATHEMATICS -- Geometry -- General.
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Informatique.
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Clifford algebras
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Geometry -- Computer programs
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Geometry -- Data processing
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Form |
Electronic book
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ISBN |
9781848829299 |
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1848829299 |
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