Overview
- Offers in a compact and complete way the theory and methods to apply Geometric Algebra in computer vision, graphics and machine learning
- Introduces the basics of geometric algebra to specialists and non- specialists in a gentle and comprehensive manner using examples and abundant figures and simulation results
- Step by step using examples encourages readers to learn how to model, design algorithms for modern applications in the areas of computer vision, graphics and machine learning
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Table of contents (20 chapters)
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Front Matter
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Fundamentals of Geometric Algebra
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Front Matter
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Euclidean, Pseudo-Euclidean Geometric Algebras, Incidence Algebra, Conformal and Projective Geometric Algebras
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Front Matter
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Image Processing and Computer Vision
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Front Matter
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Machine Learning
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Front Matter
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Applications of GA in Image Processing, Graphics and Computer Vision
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Front Matter
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Keywords
About this book
Geometric algebra provides a rich and general mathematical framework for Geometric Cybernetics in order to develop solutions, concepts and computer algorithms without losing geometric insight of the problem in question. Current mathematical subjects can be treated in an unified manner without abandoning the mathematical system of geometric algebra for instance: multilinear algebra, projective and affine geometry, calculus on manifolds, Riemann geometry, the representation of Lie algebras and Lie groups using bivector algebras and conformal geometry.
By treating a wide spectrum of problems in a common language, this Volume I offers both new insights and new solutions that should be useful to scientists, and engineers working in different areas related with the development and building of intelligent machines. Each chapter is written in accessible terms accompanied by numerous examples, figures and a complementary appendix on Clifford algebras, all to clarify the theory and the crucial aspects of the application of geometric algebra to problems in graphics engineering, image processing, pattern recognition, computer vision, machine learning, neural computing and cognitive systems.
Authors and Affiliations
Bibliographic Information
Book Title: Geometric Algebra Applications Vol. I
Book Subtitle: Computer Vision, Graphics and Neurocomputing
Authors: Eduardo Bayro-Corrochano
DOI: https://doi.org/10.1007/978-3-319-74830-6
Publisher: Springer Cham
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2019
Hardcover ISBN: 978-3-319-74828-3Published: 05 July 2018
Softcover ISBN: 978-3-030-09085-2Published: 14 December 2018
eBook ISBN: 978-3-319-74830-6Published: 20 June 2018
Edition Number: 1
Number of Pages: XXXIII, 742
Number of Illustrations: 111 b/w illustrations, 151 illustrations in colour
Topics: Computational Intelligence, Artificial Intelligence, Computer Imaging, Vision, Pattern Recognition and Graphics, Complexity