Computing In Euclidean Geometry

Computing in Euclidean Geometry PDF
Author: Dingzhu Du
Publisher: World Scientific
ISBN: 9789810209667
Size: 11.78 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 385
View: 1811

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Computing In Euclidean Geometry

by Dingzhu Du, Computing In Euclidean Geometry Books available in PDF, EPUB, Mobi Format. Download Computing In Euclidean Geometry books, This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry. The topics covered are: a 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. Each chapter is written by a leading expert in the field and together they provide a clear and authoritative picture of what computational Euclidean geometry is and the direction in which research is going.


Computing In Euclidean Geometry

Computing in Euclidean Geometry PDF
Author: Ding-Zhu Du
Publisher: World Scientific
ISBN: 9814501638
Size: 53.46 MB
Format: PDF, Docs
Category : Computers
Languages : en
Pages : 508
View: 1097

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Computing In Euclidean Geometry

by Ding-Zhu Du, Computing In Euclidean Geometry Books available in PDF, EPUB, Mobi Format. Download Computing In Euclidean Geometry books, 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. Contents:On the Development of Quantitative Geometry from Phythagoras to Grassmann (W-Y Hsiang)Computational Geometry: A Retrospective (B Chazelle)Mesh Generation and Optimal Triangulation (M Bern & D Eppstein)Machine Proofs of Geometry Theorems (S-C Chou & M Rathi)Randomized Geometric Algorithms (K L Clarkson)The State of Art on Steiner Ratio Problems (D-Z Du & F Hwang)Voronoi Diagrams and Delaunay Triangulations (S Fortune)Geometric Constraint Solving in R2 and R3 (C M Hoffmann & P J Vermeer)Polar Forms and Triangular B-Spline Surfaces (H-P Seidel)Computational Geometry and Topological Network Design (J M Smith & P Winter)The Exact Computation Paradigm (C Yap & T Dubé) Readership: Computer scientists and mathematicians. keywords:Computational Geometry;Triangulation;Machine Proof;Randomized Geometric Algorithm;Voronoi Diagram;Delaunay Triangulation;B-Spline;Polar Form;Steiner Tree;Analytic Geometry;Exact Computation Review on First Edition: “The papers are not just summaries; the authors present new material or fresh points of view … I recommend the book to anyone who works in one of the areas surveyed or who is interested in the interaction of Euclidean geometry and computers.” IEEE Parallel & Distributed Technology


Introduction To Geometric Computing

Introduction to Geometric Computing PDF
Author: Sherif Ghali
Publisher: Springer Science & Business Media
ISBN: 1848001150
Size: 42.67 MB
Format: PDF, ePub
Category : Computers
Languages : en
Pages : 340
View: 151

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Introduction To Geometric Computing

by Sherif Ghali, Introduction To Geometric Computing Books available in PDF, EPUB, Mobi Format. Download Introduction To Geometric Computing books, 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.


Algorithms And Theory Of Computation Handbook

Algorithms and Theory of Computation Handbook PDF
Author: Mikhail J. Atallah
Publisher: CRC Press
ISBN: 9781420049503
Size: 67.40 MB
Format: PDF, Docs
Category : Computers
Languages : en
Pages : 1312
View: 2214

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Algorithms And Theory Of Computation Handbook

by Mikhail J. Atallah, Algorithms And Theory Of Computation Handbook Books available in PDF, EPUB, Mobi Format. Download Algorithms And Theory Of Computation Handbook books, Algorithms and Theory of Computation Handbook is a comprehensive collection of algorithms and data structures that also covers many theoretical issues. It offers a balanced perspective that reflects the needs of practitioners, including emphasis on applications within discussions on theoretical issues. Chapters include information on finite precision issues as well as discussion of specific algorithms where algorithmic techniques are of special importance, including graph drawing, robotics, forming a VLSI chip, vision and image processing, data compression, and cryptography. The book also presents some advanced topics in combinatorial optimization and parallel/distributed computing. • applications areas where algorithms and data structuring techniques are of special importance • graph drawing • robot algorithms • VLSI layout • vision and image processing algorithms • scheduling • electronic cash • data compression • dynamic graph algorithms • on-line algorithms • multidimensional data structures • cryptography • advanced topics in combinatorial optimization and parallel/distributed computing


Applications Of Geometric Algebra In Computer Science And Engineering

Applications of Geometric Algebra in Computer Science and Engineering PDF
Author: Leo Dorst
Publisher: Springer Science & Business Media
ISBN: 9780817642679
Size: 63.92 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 478
View: 1734

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Applications Of Geometric Algebra In Computer Science And Engineering

by Leo Dorst, Applications Of Geometric Algebra In Computer Science And Engineering Books available in PDF, EPUB, Mobi Format. Download Applications Of Geometric Algebra In Computer Science And Engineering books, Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an interdisciplinary approach to the subject, and highlight a range of techniques and applications. Relevant ideas are introduced in a self-contained manner and only a knowledge of linear algebra and calculus is assumed. Features and Topics: * The mathematical foundations of geometric algebra are explored * Applications in computational geometry include models of reflection and ray-tracing and a new and concise characterization of the crystallographic groups * Applications in engineering include robotics, image geometry, control-pose estimation, inverse kinematics and dynamics, control and visual navigation * Applications in physics include rigid-body dynamics, elasticity, and electromagnetism * Chapters dedicated to quantum information theory dealing with multi- particle entanglement, MRI, and relativistic generalizations Practitioners, professionals, and researchers working in computer science, engineering, physics, and mathematics will find a wide range of useful applications in this state-of-the-art survey and reference book. Additionally, advanced graduate students interested in geometric algebra will find the most current applications and methods discussed.


Geometric Methods And Applications

Geometric Methods and Applications PDF
Author: Jean Gallier
Publisher: Springer Science & Business Media
ISBN: 9781441999610
Size: 35.54 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 680
View: 5091

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Geometric Methods And Applications

by Jean Gallier, Geometric Methods And Applications Books available in PDF, EPUB, Mobi Format. Download Geometric Methods And Applications books, This book is an introduction to the fundamental concepts and tools needed for solving problems of a geometric nature using a computer. It attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, robotics, or machine learning. This book covers the following topics: affine geometry, projective geometry, Euclidean geometry, convex sets, SVD and principal component analysis, manifolds and Lie groups, quadratic optimization, basics of differential geometry, and a glimpse of computational geometry (Voronoi diagrams and Delaunay triangulations). Some practical applications of the concepts presented in this book include computer vision, more specifically contour grouping, motion interpolation, and robot kinematics. In this extensively updated second edition, more material on convex sets, Farkas’s lemma, quadratic optimization and the Schur complement have been added. The chapter on SVD has been greatly expanded and now includes a presentation of PCA. The book is well illustrated and has chapter summaries and a large number of exercises throughout. It will be of interest to a wide audience including computer scientists, mathematicians, and engineers. Reviews of first edition: "Gallier's book will be a useful source for anyone interested in applications of geometrical methods to solve problems that arise in various branches of engineering. It may help to develop the sophisticated concepts from the more advanced parts of geometry into useful tools for applications." (Mathematical Reviews, 2001) "...it will be useful as a reference book for postgraduates wishing to find the connection between their current problem and the underlying geometry." (The Australian Mathematical Society, 2001)


Geometric Algebra Computing

Geometric Algebra Computing PDF
Author: Eduardo Bayro-Corrochano
Publisher: Springer Science & Business Media
ISBN: 1849961085
Size: 12.59 MB
Format: PDF, Docs
Category : Computers
Languages : en
Pages : 526
View: 4551

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Geometric Algebra Computing

by Eduardo Bayro-Corrochano, Geometric Algebra Computing Books available in PDF, EPUB, Mobi Format. Download Geometric Algebra Computing books, 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.


Schwarz Christoffel Mapping

Schwarz Christoffel Mapping PDF
Author: Tobin A. Driscoll
Publisher: Cambridge University Press
ISBN: 9781139433921
Size: 20.38 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 132
View: 5430

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Schwarz Christoffel Mapping

by Tobin A. Driscoll, Schwarz Christoffel Mapping Books available in PDF, EPUB, Mobi Format. Download Schwarz Christoffel Mapping books, This book provides a comprehensive look at the Schwarz-Christoffel transformation, including its history and foundations, practical computation, common and less common variations, and many applications in fields such as electromagnetism, fluid flow, design and inverse problems, and the solution of linear systems of equations. It is an accessible resource for engineers, scientists, and applied mathematicians who seek more experience with theoretical or computational conformal mapping techniques. The most important theoretical results are stated and proved, but the emphasis throughout remains on concrete understanding and implementation, as evidenced by the 76 figures based on quantitatively correct illustrative examples. There are over 150 classical and modern reference works cited for readers needing more details. There is also a brief appendix illustrating the use of the Schwarz-Christoffel Toolbox for MATLAB, a package for computation of these maps.


Proceedings Of The Twenty Seventh Annual Acm Symposium On Theory Of Computing

Proceedings of the twenty seventh annual ACM Symposium on Theory of Computing PDF
Author: ACM Special Interest Group for Algorithms and Computation Theory
Publisher:
ISBN:
Size: 40.57 MB
Format: PDF, Kindle
Category : Computers
Languages : en
Pages : 763
View: 3039

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Proceedings Of The Twenty Seventh Annual Acm Symposium On Theory Of Computing

by ACM Special Interest Group for Algorithms and Computation Theory, Proceedings Of The Twenty Seventh Annual Acm Symposium On Theory Of Computing Books available in PDF, EPUB, Mobi Format. Download Proceedings Of The Twenty Seventh Annual Acm Symposium On Theory Of Computing books,


Siam Journal On Computing

SIAM Journal on Computing PDF
Author: Society for Industrial and Applied Mathematics
Publisher:
ISBN:
Size: 14.10 MB
Format: PDF
Category : Electronic data processing
Languages : en
Pages :
View: 872

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Siam Journal On Computing

by Society for Industrial and Applied Mathematics, Siam Journal On Computing Books available in PDF, EPUB, Mobi Format. Download Siam Journal On Computing books,