Table of contents
Fundamentals of Geometric Algebra
Euclidean, Pseudo-Euclidean Geometric Algebras, Incidence Algebra, Conformal and Projective Geometric Algebras
Image Processing and Computer Vision
Applications of GA in Image Processing, Graphics and Computer Vision
Applications of GA in Machine Learning
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.
- DOI https://doi.org/10.1007/978-3-319-74830-6
- Copyright Information Springer International Publishing AG, part of Springer Nature 2019
- Publisher Name Springer, Cham
- eBook Packages Intelligent Technologies and Robotics
- Print ISBN 978-3-319-74828-3
- Online ISBN 978-3-319-74830-6
- Buy this book on publisher's site