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OverviewThis book presents new results on applications of geometric algebra. The time when researchers and engineers were starting to realize the potential of quaternions for - plications in electrical, mechanic, and control engineering passed a long time ago. Since the publication of Space-Time Algebra by David Hestenes (1966) and Clifford Algebra to Geometric Calculus: A Uni?ed Language for Mathematics and Physics by David Hestenes and Garret Sobczyk (1984), consistent progress in the app- cations of geometric algebra has taken place. Particularly due to the great dev- opments in computer technology and the Internet, researchers have proposed new ideas and algorithms to tackle a variety of problems in the areas of computer science and engineering using the powerful language of geometric algebra. In this process, pioneer groups started the conference series entitled ""Applications of Geometric Algebra in Computer Science and Engineering"" (AGACSE) in order to promote the research activity in the domain of the application of geometric algebra. The ?rst conference, AGACSE'1999, organized by Eduardo Bayro-Corrochano and Garret Sobczyk, took place in Ixtapa-Zihuatanejo, Mexico, in July 1999. The contri- tions were published in Geometric Algebra with Applications in Science and En- neering, Birkhauser, 2001. The second conference, ACACSE'2001, was held in the Engineering Department of the Cambridge University on 9-13 July 2001 and was organizedbyLeoDorst,ChrisDoran,andJoanLasenby. Thebestconferencecont- butions appeared as a book entitled Applications of Geometric Algebra in Computer Science and Engineering, Birkhauser, 2002. The third conference, AGACSE'2008, took place in August 2008 in Grimma, Leipzig, Germany. Full Product DetailsAuthor: Eduardo Bayro-Corrochano , Gerik ScheuermannPublisher: Springer London Ltd Imprint: Springer London Ltd Edition: 2010 ed. Dimensions: Width: 15.50cm , Height: 2.80cm , Length: 23.50cm Weight: 0.831kg ISBN: 9781447157687ISBN 10: 1447157680 Pages: 526 Publication Date: 25 September 2014 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of ContentsGeometric Algebra.- New Tools for Computational Geometry and Rejuvenation of Screw Theory.- Tutorial: Structure-Preserving Representation of Euclidean Motions Through Conformal Geometric Algebra.- Engineering Graphics in Geometric Algebra.- Parameterization of 3D Conformal Transformations in Conformal Geometric Algebra.- Clifford Fourier Transform.- Two-Dimensional Clifford Windowed Fourier Transform.- The Cylindrical Fourier Transform.- Analyzing Real Vector Fields with Clifford Convolution and Clifford–Fourier Transform.- Clifford–Fourier Transform for Color Image Processing.- Hilbert Transforms in Clifford Analysis.- Image Processing, Wavelets and Neurocomputing.- Geometric Neural Computing for 2D Contour and 3D Surface Reconstruction.- Geometric Associative Memories and Their Applications to Pattern Classification.- Classification and Clustering of Spatial Patterns with Geometric Algebra.- QWT: Retrospective and New Applications.- Computer Vision.- Image Sensor Model Using Geometric Algebra: From Calibration to Motion Estimation.- Model-Based Visual Self-localization Using Gaussian Spheres.- Conformal mapping and Fluid Analysis.- Geometric Characterization of Geometric Algebra.- Some Applications of Gröbner Bases in Robotics and Engineering.ReviewsFrom the reviews: This book is a result of the edited proceedings of the 2008 conference. It contains many advanced ideas from mathematics, physics, and computer science, and serve as a reference book on geometric algebra and its applications. includes numerous color illustrations, and the chapters end with references to the literature. This book should be treasured for presenting various geometric algebra applications in several areas . It will be useful to physicists, computer scientists, and engineers. this is a very useful book. (S. V. Nagaraj, ACM Computing Reviews, February, 2012) Author InformationTab Content 6Author Website:Countries AvailableAll regions |