Geometric Computing
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Geometric Computing Science
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Author : Robert Hermann
language : en
Publisher:
Release Date : 1991
Geometric Computing Science written by Robert Hermann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
Introduction To Geometric Computing
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Author : Sherif Ghali
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-07-05
Introduction To Geometric Computing written by Sherif Ghali and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-05 with Computers categories.
Computing is quickly making much of geometry intriguing not only for philosophers and mathematicians, but also for scientists and engineers. What is the core set of topics that a practitioner needs to study before embarking on the design and implementation of a geometric system in a specialized discipline? This book attempts to find the answer. Every programmer tackling a geometric computing problem encounters design decisions that need to be solved. This book reviews the geometric theory then applies it in an attempt to find that elusive "right" design.
Geometric Computing
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Author : Eduardo Bayro Corrochano
language : en
Publisher: Springer
Release Date : 2010-04-01
Geometric Computing written by Eduardo Bayro Corrochano and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-01 with Computers categories.
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 public domain 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.
Robust And Error Free Geometric Computing
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Author : Dave Eberly
language : en
Publisher: CRC Press
Release Date : 2021-02-27
Robust And Error Free Geometric Computing written by Dave Eberly and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-27 with Computers categories.
This is a how-to book for solving geometric problems robustly or error free in actual practice. The contents and accompanying source code are based on the feature requests and feedback received from industry professionals and academics who want both the descriptions and source code for implementations of geometric algorithms. The book provides a framework for geometric computing using several arithmetic systems and describes how to select the appropriate system for the problem at hand. Key Features: A framework of arithmetic systems that can be applied to many geometric algorithms to obtain robust or error-free implementations Detailed derivations for algorithms that lead to implementable code Teaching the readers how to use the book concepts in deriving algorithms in their fields of application The Geometric Tools Library, a repository of well-tested code at the Geometric Tools website, https://www.geometrictools.com, that implements the book concepts
Modern Geometric Computing For Visualization
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Author : Tosiyasu L. Kunii
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Modern Geometric Computing For Visualization written by Tosiyasu L. Kunii and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
This volume is on "modem geometric computing for visualization" which is at the forefront of multi-disciplinary advanced research areas. This area is attracting intensive research interest across many application fields: singularity in cosmology, turbulence in ocean engineering, high energy physics, molecular dynamics, environmental problems, modem mathe matics, computer graphics, and pattern recognition. Visualization re quires the computation of displayable shapes which are becoming more and more complex in proportion to the complexity of the objects and phenomena visualized. Fast computation requires information locality. Attaining information locality is achieved through characterizing the shapes in geometry and topology, and the large amount of computation required through the use of supercomputers. This volume contains the initial results of our efforts to satisfy these re quirements by inviting experts and selecting new research works through review processes. To be more specific, this book presents the proceedings of the International Workshop on Modem Geometric Computing for Visualization held at Kogakuin University, Tokyo, Japan, June 29-30, 1992 organized by the Computer Graphics Society, Japan Personal Com puter Software Association, Kogakuin University, and the Department of Information Science, Faculty of Science, The University of Tokyo. We received extremely high-quality papers for review from five different countries, one from Australia, one from Italy, four from Japan, one from Singapore and three from the United States, and we accepted eight papers and rejected two.
Handbook Of Geometric Computing
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Author : Eduardo Bayro Corrochano
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-06
Handbook Of Geometric Computing written by Eduardo Bayro Corrochano and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-06 with Computers categories.
Many computer scientists, engineers, applied mathematicians, and physicists use geometry theory and geometric computing methods in the design of perception-action systems, intelligent autonomous systems, and man-machine interfaces. This handbook brings together the most recent advances in the application of geometric computing for building such systems, with contributions from leading experts in the important fields of neuroscience, neural networks, image processing, pattern recognition, computer vision, uncertainty in geometric computations, conformal computational geometry, computer graphics and visualization, medical imagery, geometry and robotics, and reaching and motion planning. For the first time, the various methods are presented in a comprehensive, unified manner. This handbook is highly recommended for postgraduate students and researchers working on applications such as automated learning; geometric and fuzzy reasoning; human-like artificial vision; tele-operation; space maneuvering; haptics; rescue robots; man-machine interfaces; tele-immersion; computer- and robotics-aided neurosurgery or orthopedics; the assembly and design of humanoids; and systems for metalevel reasoning.
Na
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Author : Eduardo Bayro-Corrochano
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-20
Na written by Eduardo Bayro-Corrochano and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-20 with Computers categories.
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 real-time applications across a range of disciplines. The book also provides an introduction to advanced screw theory and conformal geometry. Written in an accessible style, the discussion of all applications is enhanced by the inclusion of numerous examples, figures and experimental analysis. 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, investigating the algorithmic complexity of key geometric operations and how the program code can be optimized for real-time 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 Bayro-Corrochano 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 Topology-Based Methods in Visualization II.
Geometric Computation
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Author : Falai Chen
language : en
Publisher: World Scientific
Release Date : 2004
Geometric Computation written by Falai Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computers categories.
This book contains tutorial surveys and original research contributions in geometric computing, modeling, and reasoning. Highlighting the role of algebraic computation, it covers: surface blending, implicitization, and parametrization; automated deduction with Clifford algebra and in real geometry; and exact geometric computation. Basic techniques, advanced methods, and new findings are presented coherently, with many examples and illustrations. Using this book the reader will easily cross the frontiers of symbolic computation, computer aided geometric design, and automated reasoning. The book is also a valuable reference for people working in other relevant areas, such as scientific computing, computer graphics, and artificial intelligence. Contents: Algebraic Methods in Computer Aided Geometric Design: Theoretical and Practical Applications (L Gonzilez-Vega et al.); Constructing Piecewise Algebraic Blending Surfaces (Y Feng et al.); Rational Curves and Surfaces: Algorithms and Some Applications (J R Sendra); Panorama of Methods for Exact Implicitization of Algebraic Curves and Surfaces (I S Kotsireas); Implicitization and Offsetting via Regular Systems (D Wang); Determining the Intersection Curve of Two 3D Implicit Surfaces by Using Differential Geometry and Algebraic Techniques (L Gonzilez-Vega et al.); Analytical Properties of Semi-Stationary Subdivision Schemes (H Zhang & G Wang); Meshless Method for Numerical Solution of PDE Using Hermitian Interpolation with Radial Basis (Z Wu & J Liu); Clifford Algebras in Geometric Computation (H Li); Automated Deduction in Real Geometry (L Yang & B Xia); Automated Derivation of Unknown Relations and Determination of Geometric Loci (Y Li); On Guaranteed Accuracy Computation (C K Yap); Dixon A-Resultant Quotients for 6-Point Isosceles Triangular Corner Cutting (M-C Foo & E-W Chionh); Face Recognition Using Hidden Markov Models and Artificial Neural Network Techniques (Z Ou & B Xue). Readership: Upper-level undergraduates, graduate students, researchers and engineers in geometric modeling."
Modern Geometric Computing For Visualization
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Author : Tosiyasu Kunii
language : en
Publisher: Springer
Release Date : 1992-07-28
Modern Geometric Computing For Visualization written by Tosiyasu Kunii and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-07-28 with Computers categories.
This volume is on "modem geometric computing for visualization" which is at the forefront of multi-disciplinary advanced research areas. This area is attracting intensive research interest across many application fields: singularity in cosmology, turbulence in ocean engineering, high energy physics, molecular dynamics, environmental problems, modem mathe matics, computer graphics, and pattern recognition. Visualization re quires the computation of displayable shapes which are becoming more and more complex in proportion to the complexity of the objects and phenomena visualized. Fast computation requires information locality. Attaining information locality is achieved through characterizing the shapes in geometry and topology, and the large amount of computation required through the use of supercomputers. This volume contains the initial results of our efforts to satisfy these re quirements by inviting experts and selecting new research works through review processes. To be more specific, this book presents the proceedings of the International Workshop on Modem Geometric Computing for Visualization held at Kogakuin University, Tokyo, Japan, June 29-30, 1992 organized by the Computer Graphics Society, Japan Personal Com puter Software Association, Kogakuin University, and the Department of Information Science, Faculty of Science, The University of Tokyo. We received extremely high-quality papers for review from five different countries, one from Australia, one from Italy, four from Japan, one from Singapore and three from the United States, and we accepted eight papers and rejected two.
Geometric Computing For Perception Action Systems
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Author : Eduardo Bayro Corrochano
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-27
Geometric Computing For Perception Action Systems written by Eduardo Bayro Corrochano and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-27 with Computers categories.
All the efforts to build an intelligent machine have not yet produced a satisfactory autonomous system despite the great progress that has been made in developing computer hardware over the last three decades. The complexity of the tasks that a cognitive system must perform is still not understood well enough. Let us call the endeavor of building intelligent systems as the construction of Perception Action Cycles (PAC). The key idea is to incorporate representation and learning in a flexible geometric system. Until now this issue has always been a matter of neurocomputing. The most frequently used algebraic system for neurocomputation is matrix algebra. However, calculations in geometric algebra often reveal a geometric structure which remains obscure in the equivalent matrix computations. The development of PAC in a unified comprehensive mathematical system is urgently needed to bring unity and coherance to the problems of artificial intelligence. Accordingly, we are motivated by the challenge of applying geometric algebra to the development of PAC systems. Geometric algebra provides the general mathematical framework for the development of the ideas of multi-linear algebra, multi-variable analysis, and the representation of LIE groups and LIE algebras. There is strong evidence that geobetric albegra can be used to carry out efficient computations at all levels in the cognitive system. Geometric algebra reduces the complexity of algebraic expressions and as a result, it improves algorithms both in speed and accuracy. Thus, our goal is to construct PAC systems solely in the geometric algebra language. The preliminary chapters of this book introduce the reader to geometric algebra and the necessary mathematical concepts that will be needed. The latter chapters deal with a variety of applications in the field of cognitive systems in