Geometric Algebra Computing : in Engineering and Computer Science
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...
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Format:  eBook 
Language:  English 
Published: 
London :
Springer London :
2010

Genre/form:  elektronické knihy 
ISBN:  9781849961080 
Online Access:  Fulltext 
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245  1  0  a Geometric Algebra Computing : b in Engineering and Computer Science / c edited by Eduardo BayroCorrochano, Gerik Scheuermann 
250  a 1st ed. 2010  
264  1  a London : b Springer London : c 2010  
300  a 1 online zdroj (XXII, 526 p.)  
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337  a počítač b c 2 rdamedia  
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505  0  a Geometric Algebra  New Tools for Computational Geometry and Rejuvenation of Screw Theory  Tutorial: StructurePreserving 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  TwoDimensional Clifford Windowed Fourier Transform  The Cylindrical Fourier Transform  Analyzing Real Vector Fields with Clifford Convolution and CliffordFourier Transform  CliffordFourier 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  ModelBased Visual Selflocalization Using Gaussian Spheres  Conformal mapping and Fluid Analysis  Geometric Characterization of Geometric Algebra  Some Applications of Gröbner Bases in Robotics and Engineering  
520  a 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 mathematical system of geometric algebra, such as multilinear algebra, projective and affine geometry, calculus on manifolds, Riemann geometry, the representation of Lie algebras and Lie groups using bivector algebras, and conformal geometry. Geometric Algebra Computing in Engineering and Computer Science presents contributions from an international selection of experts in the field. This useful text/reference offers new insights and solutions for the development of theorems, algorithms and advanced methods for realtime applications across a range of disciplines. The book also provides an introduction to advanced screw theory and conformal geometry.  
520  9 ^^ a Written in an accessible style, the discussion of all applications is enhanced by the inclusion of numerous examples, figures and experimental analysis.  
520  9 ^^ a Topics and features: Provides a thorough discussion of several tasks for image processing, pattern recognition, computer vision, robotics and computer graphics using the geometric algebra framework Introduces nonspecialists to screw theory in the geometric algebra framework, offering a tutorial on conformal geometric algebra and an overview of recent applications of geometric algebra Explores new developments in the domain of Clifford Fourier Transforms and Clifford Wavelet Transform, including novel applications of Clifford Fourier transforms for 3D visualization and colour image spectral analysis Presents a detailed study of fluid flow problems with quaternionic analysis Examines new algorithms for geometric neural computing and cognitive systems Analyzes computer software packages for extensive calculations in geometric algebra,  
520  9 ^^ a investigating the algorithmic complexity of key geometric operations and how the program code can be optimized for realtime computations The book is an essential resource for computer scientists, applied physicists, AI researchers and mechanical and electrical engineers. It will also be of value to graduate students and researchers interested in a modern language for geometric computing. Prof. Dr. Eng. Eduardo BayroCorrochano is a Full Professor of Geometric Computing at Cinvestav, Mexico. He is the author of the Springer titles Geometric Computing for Perception Action Systems, Handbook of Geometric Computing, and Geometric Computing for Wavelet Transforms, Robot Vision, Learning, Control and Action. Prof. Dr. Gerik Scheuermann is a Full Professor at the University of Leipzig, Germany. He is the author of the Springer title TopologyBased Methods in Visualization II  
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700  1  a BayroCorrochano, Eduardo 4 edt  
700  1  a Scheuermann, Gerik 4 edt  
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776  0  8  i Tištěné vydání : t Geometric Algebra Computing 
856  4  0  u https://doi.org/10.1007/9781849961080 y Plný text 
950  a Springer b Computer Science 2015 