New Trends In Discrete And Computational Geometry

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New Trends In Intuitive Geometry

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Author : Gergely Ambrus
language : en
Publisher: Springer
Release Date : 2018-11-03

New Trends In Intuitive Geometry written by Gergely Ambrus and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-03 with Mathematics categories.

This volume contains 17 surveys that cover many recent developments in Discrete Geometry and related fields. Besides presenting the state-of-the-art of classical research subjects like packing and covering, it also offers an introduction to new topological, algebraic and computational methods in this very active research field. The readers will find a variety of modern topics and many fascinating open problems that may serve as starting points for research.

New Trends In Discrete And Computational Geometry

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Author : Janos Pach
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

New Trends In Discrete And Computational Geometry written by Janos Pach 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 Mathematics categories.

Discrete and computational geometry are two fields which in recent years have benefitted from the interaction between mathematics and computer science. The results are applicable in areas such as motion planning, robotics, scene analysis, and computer aided design. The book consists of twelve chapters summarizing the most recent results and methods in discrete and computational geometry. All authors are well-known experts in these fields. They give concise and self-contained surveys of the most efficient combinatorical, probabilistic and topological methods that can be used to design effective geometric algorithms for the applications mentioned above. Most of the methods and results discussed in the book have not appeared in any previously published monograph. In particular, this book contains the first systematic treatment of epsilon-nets, geometric tranversal theory, partitions of Euclidean spaces and a general method for the analysis of randomized geometric algorithms. Apart from mathematicians working in discrete and computational geometry this book will also be of great use to computer scientists and engineers, who would like to learn about the most recent results.

Canadian Conference On Computational Geometry

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Author : Frank Fiala
language : en
Publisher: McGill-Queen's Press - MQUP
Release Date : 1996-08-15

Canadian Conference On Computational Geometry written by Frank Fiala and has been published by McGill-Queen's Press - MQUP this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-08-15 with Mathematics categories.

The 8th Canadian conference on computational geometry had an international flavour. Sixty-one papers were submitted by authors from over 20 countries representing four continents. The conference was held at Carleton University in August 1996.

Lectures On Discrete Geometry

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Author : Ji?í Matoušek
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-05-02

Lectures On Discrete Geometry written by Ji?í Matoušek 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 2002-05-02 with Mathematics categories.

The main topics in this introductory text to discrete geometry include basics on convex sets, convex polytopes and hyperplane arrangements, combinatorial complexity of geometric configurations, intersection patterns and transversals of convex sets, geometric Ramsey-type results, and embeddings of finite metric spaces into normed spaces. In each area, the text explains several key results and methods.

Combinatorial Geometry And Its Algorithmic Applications

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Author : János Pach
language : en
Publisher: American Mathematical Soc.
Release Date : 2009

Combinatorial Geometry And Its Algorithmic Applications written by János Pach and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.

"Based on a lecture series given by the authors at a satellite meeting of the 2006 International Congress of Mathematicians and on many articles written by them and their collaborators, this volume provides a comprehensive up-to-date survey of several core areas of combinatorial geometry. It describes the beginnings of the subject, going back to the nineteenth century (if not to Euclid), and explains why counting incidences and estimating the combinatorial complexity of various arrangements of geometric objects became the theoretical backbone of computational geometry in the 1980s and 1990s. The combinatorial techniques outlined in this book have found applications in many areas of computer science from graph drawing through hidden surface removal and motion planning to frequency allocation in cellular networks. "Combinatorial Geometry and Its Algorithmic Applications" is intended as a source book for professional mathematicians and computer scientists as well as for graduate students interested in combinatorics and geometry. Most chapters start with an attractive, simply formulated, but often difficult and only partially answered mathematical question, and describes the most efficient techniques developed for its solution. The text includes many challenging open problems, figures, and an extensive bibliography."--BOOK JACKET.

Handbook Of Computational Geometry

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Author : J.R. Sack
language : en
Publisher: Elsevier
Release Date : 1999-12-13

Handbook Of Computational Geometry written by J.R. Sack and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-12-13 with Mathematics categories.

Computational Geometry is an area that provides solutions to geometric problems which arise in applications including Geographic Information Systems, Robotics and Computer Graphics. This Handbook provides an overview of key concepts and results in Computational Geometry. It may serve as a reference and study guide to the field. Not only the most advanced methods or solutions are described, but also many alternate ways of looking at problems and how to solve them.

Walcom Algorithms And Computation

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Author : Sandip Das
language : en
Publisher: Springer
Release Date : 2009-02-11

Walcom Algorithms And Computation written by Sandip Das and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-11 with Computers categories.

This book constitutes the refereed proceedings of the Third International Workshop on Algorithms and Computation, WALCOM 2009, held in Kolkata, India, in February 2009. The 30 revised full papers presented together with 4 invited papers were carefully reviewed and selected from 102 submissions. The papers feature original research in the areas of design and analysis of algorithms, computational geometry, graph drawing and graph algorithms. The papers are organized in topical sections on computational geometry, graph algorithms, complexity, graph drawing, approximation algorithms, and randomized algorithms.

Voronoi Diagrams And Delaunay Triangulations

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Author : Franz Aurenhammer
language : en
Publisher: World Scientific Publishing Company
Release Date : 2013-06-26

Voronoi Diagrams And Delaunay Triangulations written by Franz Aurenhammer and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-26 with Computers categories.

Voronoi diagrams partition space according to the influence certain sites exert on their environment. Since the 17th century, such structures play an important role in many areas like Astronomy, Physics, Chemistry, Biology, Ecology, Economics, Mathematics and Computer Science. They help to describe zones of political influence, to determine the hospital nearest to an accident site, to compute collision-free paths for mobile robots, to reconstruct curves and surfaces from sample points, to refine triangular meshes, and to design location strategies for competing markets.This unique book offers a state-of-the-art view of Voronoi diagrams and their structure, and it provides efficient algorithms towards their computation.Readers with an entry-level background in algorithms can enjoy a guided tour of gently increasing difficulty through a fascinating area. Lecturers might find this volume a welcome source for their courses on computational geometry. Experts are offered a broader view, including many alternative solutions, and up-to-date references to the existing literature; they might benefit in their own research or application development.

Computational Geometry In C

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Author : Joseph O'Rourke
language : en
Publisher: Cambridge University Press
Release Date : 1998-10-13

Computational Geometry In C written by Joseph O'Rourke and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-13 with Computers categories.

This is the revised and expanded 1998 edition of a popular introduction to the design and implementation of geometry algorithms arising in areas such as computer graphics, robotics, and engineering design. The basic techniques used in computational geometry are all covered: polygon triangulations, convex hulls, Voronoi diagrams, arrangements, geometric searching, and motion planning. The self-contained treatment presumes only an elementary knowledge of mathematics, but reaches topics on the frontier of current research, making it a useful reference for practitioners at all levels. The second edition contains material on several new topics, such as randomized algorithms for polygon triangulation, planar point location, 3D convex hull construction, intersection algorithms for ray-segment and ray-triangle, and point-in-polyhedron. The code in this edition is significantly improved from the first edition (more efficient and more robust), and four new routines are included. Java versions for this new edition are also available. All code is accessible from the book's Web site (http://cs.smith.edu/~orourke/) or by anonymous ftp.

Computational Geometry

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Author : Mark de Berg
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Computational Geometry written by Mark de Berg 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 2013-04-17 with Computers categories.

Computational geometry emerged from the field of algorithms design and anal ysis in the late 1970s. It has grown into a recognized discipline with its own journals, conferences, and a large community of active researchers. The suc cess of the field as a research discipline can on the one hand be explained from the beauty of the problems studied and the solutions obtained, and, on the other hand, by the many application domains-computer graphics, geographic in formation systems (GIS), robotics, and others-in which geometric algorithms playafundamental role. For many geometric problems the early algorithmic solutions were either slow or difficult to understand and implement. In recent years a number of new algorithmic techniques have been developed that improved and simplified many of the previous approaches. In this textbook we have tried to make these modem algorithmic solutions accessible to a large audience. The book has been written as a textbook for a course in computational geometry, but it can also be used for self-study.