Geometric computing: for wavelet transforms, robot vision, learning, control and 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 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 publicdomain 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. Offers a gentle and pedagogic introduction to geometric algebraPresents mathematical language in an accessible, clear manner for readers from diverse disciplines Offers exercises, figures, pseudo-code programs and links to public domain Clifford algebra computer programs Illustrates the application of geometric algebra to key problems of computer vision, neural computing and robotics INDICE: Introduction to Geometric Algebra.- Geometric Algebra for Modelingin Robot Physics.- 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.- Clifford Fourier and Wavelet Transforms.- Geometric Algebra of Computer Vision.- Geometric Neuralcomputing.- Kinematics.- Dynamics.- 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.- Rigid Motion Estimation Using Line Observations.- TrackerEndoscope Calibration and Body-Sensors Calibration.- Tracking, Grasping and Object Manipulation.- 3D Maps, Navigation and Relocalization.- Modeling and Registration of Medical Data.

• ISBN: 978-1-84882-928-2
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 615
• Fecha Publicación: 01/02/2010
• Nº Volúmenes: 1
• Idioma: Inglés