Concrete And Abstract Voronoi Diagrams
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Concrete And Abstract Voronoi Diagrams
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Author : Rolf Klein
language : en
Publisher: Springer Science & Business Media
Release Date : 1989-12-20
Concrete And Abstract Voronoi Diagrams written by Rolf Klein 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 1989-12-20 with Computers categories.
The Voronoi diagram of a set of sites is a partition of the plane into regions, one to each site, such that the region of each site contains all points of the plane that are closer to this site than to the other ones. Such partitions are of great importance to computer science and many other fields. The challenge is to compute Voronoi diagrams quickly. The problem is that their structure depends on the notion of distance and the sort of site. In this book the author proposes a unifying approach by introducing abstract Voronoi diagrams. These are based on the concept of bisecting curves, which are required to have some simple properties that are actually possessed by most bisectors of concrete Voronoi diagrams. Abstract Voronoi diagrams can be computed efficiently and there exists a worst-case efficient algorithm of divide-and-conquer type that applies to all abstract Voronoi diagrams satisfying a certain constraint. The author shows that this constraint is fulfilled by the concrete diagrams based on large classes of metrics in the plane.
Concrete And Abstract Voronoi Diagrams
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Author : Rolf Klein
language : en
Publisher:
Release Date : 2014-09-11
Concrete And Abstract Voronoi Diagrams written by Rolf Klein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with categories.
Randomized Incremental Construction Of Abstract Voronoi Diagrams
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Author : Rolf Klein
language : en
Publisher:
Release Date : 1993
Randomized Incremental Construction Of Abstract Voronoi Diagrams written by Rolf Klein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Computational geometry categories.
Abstract: "Abstract Voronoi diagrams were introduced by R. Klein [Kle89b, Kle88a, Kle88b] as an axiomatic basis of Voronoi diagrams. We show how to construct abstract Voronoi diagrams in time O(n log n) by a randomized algorithm, which is based on Clarkson and Shor's randomized incremental construction technique [CS89]. The new algorithm has the following advantages over previous algorithms: It can handle a much wider class of abstract Voronoi diagrams than the algorithms presented in [Kle89b, MMO91]. It can be adapted to a concrete kind of Voronoi diagram by providing a single basic operation, namely the construction of a Voronoi diagram of five sites. Moreover, all geometric decisions are confined to the basic operation, and using this operation, abstract Voronoi diagrams can be constructed in a purely combinatorial manner."
Randomized Incremental Construction Of Simple Abstract Voronoi Diagrams In 3 Space
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Author : Ngo̧c-Minh Lê
language : de
Publisher:
Release Date : 1995
Randomized Incremental Construction Of Simple Abstract Voronoi Diagrams In 3 Space written by Ngo̧c-Minh Lê and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Furthest Site Abstract Voronoi Diagrams
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Author : Kurt Mehlhorn
language : de
Publisher:
Release Date : 1992
Furthest Site Abstract Voronoi Diagrams written by Kurt Mehlhorn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Computational Geometry
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Author : Mark de Berg
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
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 2013-03-09 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 play a fundamental 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.
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.
Fundamentals Of Computation Theory
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Author : Horst Reichel
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-08-16
Fundamentals Of Computation Theory written by Horst Reichel 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 1995-08-16 with Computers categories.
This book presents the proceedings of the 10th International Conference on Fundamentals of Computation Theory, FCT '95, held in Dresden, Germany in August 1995. The volume contains five invited lectures and 32 revised papers carefully selected for presentation at FCT '95. A broad spectrum of theoretical computer science is covered; among topics addressed are algorithms and data structures, automata and formal languages, categories and types, computability and complexity, computational logics, computational geometry, systems specification, learning theory, parallelism and concurrency, rewriting and high-level replacement systems, and semantics.
Algorithms And Computation
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Author : Leizhen Cai
language : en
Publisher: Springer
Release Date : 2013-12-12
Algorithms And Computation written by Leizhen Cai and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-12 with Computers categories.
This book constitutes the refereed proceedings of the 24th International Symposium on Algorithms and Computation, ISAAC 2013, held in Hong Kong, China in December 2013. The 67 revised full papers presented together with 2 invited talks were carefully reviewed and selected from 177 submissions for inclusion in the book. The focus of the volume in on the following topics: computation geometry, pattern matching, computational complexity, internet and social network algorithms, graph theory and algorithms, scheduling algorithms, fixed-parameter tractable algorithms, algorithms and data structures, algorithmic game theory, approximation algorithms and network algorithms.
Algorithms And Computation
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Author : Hee-Kap Ahn
language : en
Publisher: Springer
Release Date : 2014-11-07
Algorithms And Computation written by Hee-Kap Ahn and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-07 with Computers categories.
This book constitutes the refereed proceedings of the 25th International Symposium on Algorithms and Computation, ISAAC 2014, held in Jeonju, Korea, in December 2014. The 60 revised full papers presented together with 2 invited talks were carefully reviewed and selected from 171 submissions for inclusion in the book. The focus of the volume in on the following topics: computational geometry, combinatorial optimization, graph algorithms: enumeration, matching and assignment, data structures and algorithms, fixed-parameter tractable algorithms, scheduling algorithms, computational complexity, computational complexity, approximation algorithms, graph theory and algorithms, online and approximation algorithms, and network and scheduling algorithms.