Download Introduction to Geometric Computing PDF Full

Introduction to Geometric Computing

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Publisher : Springer Science & Business Media
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ISBN : 1848001150
Pages : 340 pages
Rating : 4.8/5 (1 Download)

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Download Free Introduction to Geometric Computing PDF by Sherif Ghali Full Book and published by Springer Science & Business Media. This book was released on 2008-07-05 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download Geometric Computing for Perception Action Systems PDF Full

Geometric Computing for Perception Action Systems

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Publisher : Springer Science & Business Media
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ISBN : 1461301777
Pages : 235 pages
Rating : 4.1/5 (31 Download)

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Download Free Geometric Computing for Perception Action Systems PDF by Eduardo Bayro Corrochano Full Book and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: After an introduction to geometric algebra, and the necessary math concepts that are needed, the book examines a variety of applications in the field of cognitive systems using geometric algebra as the mathematical system. 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. The book is addressed to a broad audience of computer scientists, cyberneticists, and engineers. It contains computer programs to clarify and demonstrate the importance of geometric algebra in cognitive systems.

Download Introduction to Geometric Algebra Computing PDF Full

Introduction to Geometric Algebra Computing

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Publisher : CRC Press
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ISBN : 1351648217
Pages : 202 pages
Rating : 4.1/5 (648 Download)

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Download Free Introduction to Geometric Algebra Computing PDF by Dietmar Hildenbrand Full Book and published by CRC Press. This book was released on 2020-12-30 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Foreword: "Dietmar Hildenbrand's new book, Introduction to Geometric Algebra Computing, in my view, fills an important gap in Clifford's geometric algebra literature...I can only congratulate the author for the daring simplicity of his novel educational approach taken in this book, consequently combined with hands on computer based exploration. Without noticing, the active reader will thus educate himself in elementary geometric algebra algorithm development, geometrically intuitive, highly comprehensible, and fully optimized." --Eckhard Hitzer, International Christian University, Tokyo, Japan Geometric Algebra is a very powerful mathematical system for an easy and intuitive treatment of geometry, but the community working with it is still very small. The main goal of this book is to close this gap with an introduction to Geometric Algebra from an engineering/computing perspective. This book is intended to give a rapid introduction to computing with Geometric Algebra and its power for geometric modeling. From the geometric objects point of view, it focuses on the most basic ones, namely points, lines and circles. This algebra is called Compass Ruler Algebra, since it is comparable to working with a compass and ruler. The book explores how to compute with these geometric objects, and their geometric operations and transformations, in a very intuitive way. The book follows a top-down approach, and while it focuses on 2D, it is also easily expandable to 3D computations. Algebra in engineering applications such as computer graphics, computer vision and robotics are also covered.

Download Handbook of Geometric Computing PDF Full

Handbook of Geometric Computing

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Publisher : Springer Science & Business Media
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ISBN : 3540282475
Pages : 779 pages
Rating : 4.0/5 (282 Download)

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Download Free Handbook of Geometric Computing PDF by Eduardo Bayro Corrochano Full Book and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 779 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download Geometric Computing with Clifford Algebras PDF Full

Geometric Computing with Clifford Algebras

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Publisher : Springer Science & Business Media
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ISBN : 3662046210
Pages : 551 pages
Rating : 4.2/5 (46 Download)

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Download Free Geometric Computing with Clifford Algebras PDF by Gerald Sommer Full Book and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph-like anthology introduces the concepts and framework of Clifford algebra. It provides a rich source of examples of how to work with this formalism. Clifford or geometric algebra shows strong unifying aspects and turned out in the 1960s to be a most adequate formalism for describing different geometry-related algebraic systems as specializations of one "mother algebra" in various subfields of physics and engineering. Recent work shows that Clifford algebra provides a universal and powerful algebraic framework for an elegant and coherent representation of various problems occurring in computer science, signal processing, neural computing, image processing, pattern recognition, computer vision, and robotics.

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Computing in Euclidean Geometry

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Publisher : World Scientific
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ISBN : 9789810218768
Pages : 520 pages
Rating : 4.8/5 (761 Download)

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Download Free Computing in Euclidean Geometry PDF by Ding-Zhu Du Full Book and published by World Scientific. This book was released on 1995 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry. Topics covered include the history of Euclidean geometry, Voronoi diagrams, randomized geometric algorithms, computational algebra, triangulations, machine proofs, topological designs, finite-element mesh, computer-aided geometric designs and Steiner trees. This second edition contains three new surveys covering geometric constraint solving, computational geometry and the exact computation paradigm.

Download Geometric Computing Science PDF Full

Geometric Computing Science

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Publisher : Math Science Press
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ISBN : 9780915692415
Pages : 414 pages
Rating : 4.2/5 (414 Download)

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Download Free Geometric Computing Science PDF by Robert Hermann Full Book and published by Math Science Press. This book was released on 1991 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download Geometric Algebra Computing PDF Full

Geometric Algebra Computing

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Publisher : Springer Science & Business Media
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ISBN : 1849961085
Pages : 526 pages
Rating : 4.9/5 (961 Download)

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Download Free Geometric Algebra Computing PDF by Eduardo Bayro-Corrochano Full Book and published by Springer Science & Business Media. This book was released on 2010-05-19 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This useful text offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications across a range of disciplines. Its accessible style is enhanced by examples, figures and experimental analysis.

Download Geometric Computation PDF Full

Geometric Computation

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Publisher : World Scientific
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ISBN : 9812387994
Pages : 423 pages
Rating : 4.2/5 (387 Download)

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Download Free Geometric Computation PDF by Falai Chen Full Book and published by World Scientific. This book was released on 2004 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download Robust and Error-Free Geometric Computing PDF Full

Robust and Error-Free Geometric Computing

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Publisher : CRC Press
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ISBN : 1000056627
Pages : 364 pages
Rating : 4.0/5 (56 Download)

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Download Free Robust and Error-Free Geometric Computing PDF by Dave Eberly Full Book and published by CRC Press. This book was released on 2021-02-28 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download Computational Geometry - Proceedings Of The Workshop PDF Full

Computational Geometry - Proceedings Of The Workshop

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Publisher : World Scientific
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ISBN : 9814553700
Pages : 264 pages
Rating : 4.4/5 (553 Download)

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Download Free Computational Geometry - Proceedings Of The Workshop PDF by Conte A Full Book and published by World Scientific. This book was released on 1993-08-31 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference on Energy and Mechanical Engineering brought together scientists and engineers from energy and engineering sectors to share and compare notes on the latest development in energy science, automation, control and mechanical engineering. This proceedings compiled and selected 156 articles organized into Energy Science and Technology; Mechanical Engineering; Automation and Control Engineering. Amongst them, are the results and development of Government sponsored research projects undertaken both in universities, research institutes, and across industry, reflecting the state-of-art technological know-how of Chinese scientists.

Download Modern Geometric Computing for Visualization PDF Full

Modern Geometric Computing for Visualization

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Publisher : Springer Science & Business Media
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ISBN : 4431682074
Pages : 272 pages
Rating : 4.1/5 (682 Download)

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Download Free Modern Geometric Computing for Visualization PDF by Tosiyasu L. Kunii Full Book and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download Statistical Optimization for Geometric Computation PDF Full

Statistical Optimization for Geometric Computation

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Publisher : Courier Corporation
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ISBN : 0486443086
Pages : 548 pages
Rating : 4.6/5 (443 Download)

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Download Free Statistical Optimization for Geometric Computation PDF by Kenichi Kanatani Full Book and published by Courier Corporation. This book was released on 2005-07-26 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text for graduate students discusses the mathematical foundations of statistical inference for building three-dimensional models from image and sensor data that contain noise--a task involving autonomous robots guided by video cameras and sensors. The text employs a theoretical accuracy for the optimization procedure, which maximizes the reliability of estimations based on noise data. The numerous mathematical prerequisites for developing the theories are explained systematically in separate chapters. These methods range from linear algebra, optimization, and geometry to a detailed statistical theory of geometric patterns, fitting estimates, and model selection. In addition, examples drawn from both synthetic and real data demonstrate the insufficiencies of conventional procedures and the improvements in accuracy that result from the use of optimal methods.

Download Foundations of Geometric Algebra Computing PDF Full

Foundations of Geometric Algebra Computing

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Publisher : Springer Science & Business Media
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ISBN : 3642317944
Pages : 196 pages
Rating : 4.2/5 (317 Download)

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Download Free Foundations of Geometric Algebra Computing PDF by Dietmar Hildenbrand Full Book and published by Springer Science & Business Media. This book was released on 2012-12-31 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author defines “Geometric Algebra Computing” as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications in academia and industry. The related technology is driven by the invention of conformal geometric algebra as a 5D extension of the 4D projective geometric algebra and by the recent progress in parallel processing, and with the specific conformal geometric algebra there is a growing community in recent years applying geometric algebra to applications in computer vision, computer graphics, and robotics. This book is organized into three parts: in Part I the author focuses on the mathematical foundations; in Part II he explains the interactive handling of geometric algebra; and in Part III he deals with computing technology for high-performance implementations based on geometric algebra as a domain-specific language in standard programming languages such as C++ and OpenCL. The book is written in a tutorial style and readers should gain experience with the associated freely available software packages and applications. The book is suitable for students, engineers, and researchers in computer science, computational engineering, and mathematics.

Download Nonlinear Computational Geometry PDF Full

Nonlinear Computational Geometry

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Publisher : Springer Science & Business Media
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ISBN : 1441909990
Pages : 239 pages
Rating : 4.1/5 (99 Download)

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Download Free Nonlinear Computational Geometry PDF by Ioannis Z. Emiris Full Book and published by Springer Science & Business Media. This book was released on 2009-10-28 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: An original motivation for algebraic geometry was to understand curves and surfaces in three dimensions. Recent theoretical and technological advances in areas such as robotics, computer vision, computer-aided geometric design and molecular biology, together with the increased availability of computational resources, have brought these original questions once more into the forefront of research. One particular challenge is to combine applicable methods from algebraic geometry with proven techniques from piecewise-linear computational geometry (such as Voronoi diagrams and hyperplane arrangements) to develop tools for treating curved objects. These research efforts may be summarized under the term nonlinear computational geometry. This volume grew out of an IMA workshop on Nonlinear Computational Geometry in May/June 2007 (organized by I.Z. Emiris, R. Goldman, F. Sottile, T. Theobald) which gathered leading experts in this emerging field. The research and expository articles in the volume are intended to provide an overview of nonlinear computational geometry. Since the topic involves computational geometry, algebraic geometry, and geometric modeling, the volume has contributions from all of these areas. By addressing a broad range of issues from purely theoretical and algorithmic problems, to implementation and practical applications this volume conveys the spirit of the IMA workshop.

Download Guide to Geometric Algebra in Practice PDF Full

Guide to Geometric Algebra in Practice

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Publisher : Springer Science & Business Media
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ISBN : 9780857298119
Pages : 458 pages
Rating : 4.8/5 (119 Download)

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Download Free Guide to Geometric Algebra in Practice PDF by Leo Dorst Full Book and published by Springer Science & Business Media. This book was released on 2011-08-28 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly practical Guide to Geometric Algebra in Practice reviews algebraic techniques for geometrical problems in computer science and engineering, and the relationships between them. The topics covered range from powerful new theoretical developments, to successful applications, and the development of new software and hardware tools. Topics and features: provides hands-on review exercises throughout the book, together with helpful chapter summaries; presents a concise introductory tutorial to conformal geometric algebra (CGA) in the appendices; examines the application of CGA for the description of rigid body motion, interpolation and tracking, and image processing; reviews the employment of GA in theorem proving and combinatorics; discusses the geometric algebra of lines, lower-dimensional algebras, and other alternatives to 5-dimensional CGA; proposes applications of coordinate-free methods of GA for differential geometry.

Download The Algorithm Design Manual PDF Full

The Algorithm Design Manual

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Publisher : Springer Science & Business Media
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ISBN : 1848000707
Pages : 730 pages
Rating : 4.8/5 ( Download)

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Download Free The Algorithm Design Manual PDF by Steven S Skiena Full Book and published by Springer Science & Business Media. This book was released on 2009-04-05 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: This newly expanded and updated second edition of the best-selling classic continues to take the "mystery" out of designing algorithms, and analyzing their efficacy and efficiency. Expanding on the first edition, the book now serves as the primary textbook of choice for algorithm design courses while maintaining its status as the premier practical reference guide to algorithms for programmers, researchers, and students. The reader-friendly Algorithm Design Manual provides straightforward access to combinatorial algorithms technology, stressing design over analysis. The first part, Techniques, provides accessible instruction on methods for designing and analyzing computer algorithms. The second part, Resources, is intended for browsing and reference, and comprises the catalog of algorithmic resources, implementations and an extensive bibliography. NEW to the second edition: • Doubles the tutorial material and exercises over the first edition • Provides full online support for lecturers, and a completely updated and improved website component with lecture slides, audio and video • Contains a unique catalog identifying the 75 algorithmic problems that arise most often in practice, leading the reader down the right path to solve them • Includes several NEW "war stories" relating experiences from real-world applications • Provides up-to-date links leading to the very best algorithm implementations available in C, C++, and Java