Geometric Algebra Computing (eBook, PDF)

in Engineering and Computer Science

• Format: PDF

Produktdetails

• Verlag: Springer London
• Erscheinungstermin: 19. Mai 2010
• Englisch
• ISBN-13: 9781849961080
• Artikelnr.: 37343534

Inhaltsangabe

Geometric 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.

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Geometric 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.

Rezensionen

From 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)