Geometric Algebra Computing in Engineering and Computer Science /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bayro-Corrochano, Eduardo. (Editor), Scheuermann, Gerik. (Editor)
• Format: Electronic
• Language: English
• Published: London : Springer London, 2010.
• Subjects: Computer science.; Artificial intelligence.; Computer simulation.; Computer vision.; Computer aided design.; Computer Science.; Computer-Aided Engineering (CAD, CAE) and Design.; Math Applications in Computer Science.; Artificial Intelligence (incl. Robotics).; Simulation and Modeling.; Computer Imaging, Vision, Pattern Recognition and Graphics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-84996-108-0

Geometric algebra provides a rich and general mathematical framework for the development of solutions, concepts and computer algorithms without losing geometric insight into the problem in question. Many current mathematical subjects can be treated in an unified manner without abandoning the mathema...

Table of Contents:

• Part I: 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
• Parametrization of 3D Conformal Transformations in Conformal Geometric Algebra
• Part II: 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
• Part III: 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
• Part IV: Computer Vision
• Image Sensor Model using Geometric Algebra: from Calibration to Motion Estimation
• Model-Based Visual Self-Localization Using Gaussian Spheres
• Part V: Conformal Mapping and Fluid Analysis
• Geometric Characterization of M-conformal Mappings
• Fluid Flow Problems with Quaternionic Analysis: An Alternative Conception
• Part VI: Cristalography, Holography and Complexity
• Interactive 3D Space Group Visualization with CLUCalc and Crystallographic Subperiodic Groups in Geometric Algebra
• Geometric Algebra Model of Distributed Representations
• Computational Complexity Reductions using Clifford Algebras
• Part VII: Efficient Computing with Clifford (Geometric) Algebra
• Efficient Algorithms for Factorization and Join of Blades
• Gaalop - High Performance Parallel Computing based on Conformal Geometric Algebra
• Some Applications of Grb̲ner Bases in Robotics and Engineering.