Geometric computing: for wavelet transforms, robot vision, learning, control & action

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 & Neural Computing.Topics & Features include: * Theory & application of the quaternion Fourier & wavelet transforms * Thorough discussion on geometric computing under uncertainty * An entire chapter devoted to the useful conformal geometric algebra * Presents examples & 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 & robot interfaces, haptics & humanoids.

Part I: Fundamentals of Geometric Algebra

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)