Concrete And Abstract Voronoi Diagrams

Author : Rolf Klein
Publisher : Springer Science & Business Media
Page : 182 pages
File Size : 51,7 Mb
Release : 1989-12-20
Category : Computers
ISBN : 3540520554

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Concrete and Abstract Voronoi Diagrams by Rolf Klein Pdf

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.

Author : Rolf Klein
Publisher : Unknown
Page : 176 pages
File Size : 55,7 Mb
Release : 2014-09-11
Category : Electronic
ISBN : 3662211998

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Concrete and Abstract Voronoi Diagrams by Rolf Klein Pdf

Author : Mark de Berg,Marc van Kreveld,Mark Overmars,Otfried Schwarzkopf
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 52,9 Mb
Release : 2013-03-09
Category : Computers
ISBN : 9783662034279

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Computational Geometry by Mark de Berg,Marc van Kreveld,Mark Overmars,Otfried Schwarzkopf Pdf

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.

Author : Franz Aurenhammer,Rolf Klein,Der-Tsai Lee
Publisher : World Scientific Publishing Company
Page : 348 pages
File Size : 51,7 Mb
Release : 2013-06-26
Category : Computers
ISBN : 9789814447652

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Voronoi Diagrams and Delaunay Triangulations by Franz Aurenhammer,Rolf Klein,Der-Tsai Lee Pdf

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.

Author : Horst Reichel
Publisher : Springer Science & Business Media
Page : 454 pages
File Size : 55,9 Mb
Release : 1995-08-16
Category : Computers
ISBN : 3540602496

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Fundamentals of Computation Theory by Horst Reichel Pdf

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.

Author : Leizhen Cai,Siu-Wing Cheng,Tak-Wah Lam
Publisher : Springer
Page : 761 pages
File Size : 52,9 Mb
Release : 2013-12-12
Category : Computers
ISBN : 9783642450303

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Algorithms and Computation by Leizhen Cai,Siu-Wing Cheng,Tak-Wah Lam Pdf

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.

Author : Hee-Kap Ahn,Chan-Su Shin
Publisher : Springer
Page : 781 pages
File Size : 55,7 Mb
Release : 2014-11-07
Category : Computers
ISBN : 9783319130750

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Algorithms and Computation by Hee-Kap Ahn,Chan-Su Shin Pdf

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.

Author : Rolf Möhring,Rajeev Raman
Publisher : Springer
Page : 940 pages
File Size : 46,7 Mb
Release : 2003-08-02
Category : Computers
ISBN : 9783540457497

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Algorithms - ESA 2002 by Rolf Möhring,Rajeev Raman Pdf

This volume contains the 74 contributed papers and abstracts of 4 of the 5 invited talks presented at the 10th Annual European Symposium on Algorithms (ESA 2002), held at the University of Rome “La Sapienza”, Rome, Italy, 17-21 September, 2002. For the ?rst time, ESA had two tracks, with separate program committees, which dealt respectively with: – the design and mathematical analysis of algorithms (the “Design and An- ysis” track); – real-world applications, engineering and experimental analysis of algorithms (the “Engineering and Applications” track). Previous ESAs were held in Bad Honnef, Germany (1993); Utrecht, The Neth- lands (1994); Corfu, Greece (1995); Barcelona, Spain (1996); Graz, Austria (1997); Venice, Italy (1998); Prague, Czech Republic (1999); Saarbruc ̈ ken, Ger- ? many (2000), and Arhus, Denmark (2001). The predecessor to the Engineering and Applications track of ESA was the Annual Workshop on Algorithm En- neering (WAE). Previous WAEs were held in Venice, Italy (1997), Saarbruc ̈ ken, ? Germany (1998), London, UK (1999), Saarbru ̈cken, Germany (2000), and Arhus, Denmark (2001). The proceedings of the previous ESAs were published as Springer LNCS volumes 726, 855, 979, 1284, 1461, 1643, 1879, and 2161. The proceedings of WAEs from 1999 onwards were published as Springer LNCS volumes 1668, 1982, and 2161.

Author : Fedor V. Fomin,Rusins Freivalds,Marta Kwiatkowska,David Peleg
Publisher : Springer
Page : 879 pages
File Size : 40,9 Mb
Release : 2013-07-03
Category : Computers
ISBN : 9783642392061

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Automata, Languages, and Programming by Fedor V. Fomin,Rusins Freivalds,Marta Kwiatkowska,David Peleg Pdf

This two-volume set of LNCS 7965 and LNCS 7966 constitutes the refereed proceedings of the 40th International Colloquium on Automata, Languages and Programming, ICALP 2013, held in Riga, Latvia, in July 2013. The total of 124 revised full papers presented were carefully reviewed and selected from 422 submissions. They are organized in three tracks focussing on algorithms, complexity and games; logic, semantics, automata and theory of programming; and foundations of networked computation.

Author : Giuseppe Di Battista
Publisher : Springer Science & Business Media
Page : 810 pages
File Size : 48,5 Mb
Release : 2003-09-15
Category : Computers
ISBN : 9783540200642

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Algorithms - ESA 2003 by Giuseppe Di Battista Pdf

This book constitutes the refereed proceedings of the 11th Annual European Symposium on Algorithms, ESA 2003, held in Budapest, Hungary, in September 2003. The 66 revised full papers presented were carefully reviewed and selected from 165 submissions. The scope of the papers spans the entire range of algorithmics from design and mathematical analysis issues to real-world applications, engineering, and experimental analysis of algorithms.

Author : Antonio Laganà,Marina L. Gavrilova,Vipin Kumar,Youngsong Mun,C.J. Kenneth Tan,Osvaldo Gervasi
Publisher : Springer Science & Business Media
Page : 1081 pages
File Size : 41,6 Mb
Release : 2004-05-07
Category : Computers
ISBN : 9783540220572

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Computational Science and Its Applications - ICCSA 2004 by Antonio Laganà,Marina L. Gavrilova,Vipin Kumar,Youngsong Mun,C.J. Kenneth Tan,Osvaldo Gervasi Pdf

The natural mission of Computational Science is to tackle all sorts of human problems and to work out intelligent automata aimed at alleviating the b- den of working out suitable tools for solving complex problems. For this reason ComputationalScience,thoughoriginatingfromtheneedtosolvethemostch- lenging problems in science and engineering (computational science is the key player in the ?ght to gain fundamental advances in astronomy, biology, che- stry, environmental science, physics and several other scienti?c and engineering disciplines) is increasingly turning its attention to all ?elds of human activity. In all activities, in fact, intensive computation, information handling, kn- ledge synthesis, the use of ad-hoc devices, etc. increasingly need to be exploited and coordinated regardless of the location of both the users and the (various and heterogeneous) computing platforms. As a result the key to understanding the explosive growth of this discipline lies in two adjectives that more and more appropriately refer to Computational Science and its applications: interoperable and ubiquitous. Numerous examples of ubiquitous and interoperable tools and applicationsaregiveninthepresentfourLNCSvolumescontainingthecontri- tions delivered at the 2004 International Conference on Computational Science and its Applications (ICCSA 2004) held in Assisi, Italy, May 14–17, 2004.

Author : Daya Gaur,N.S. Narayanaswamy
Publisher : Springer
Page : 372 pages
File Size : 48,9 Mb
Release : 2017-01-24
Category : Computers
ISBN : 9783319530079

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Algorithms and Discrete Applied Mathematics by Daya Gaur,N.S. Narayanaswamy Pdf

This book constitutes the proceedings of the Third International Conference on Algorithms and Discrete Applied Mathematics, CALDAM 2017, held in Goa, India, in February 2017. The 32 papers presented in this volume were carefully reviewed and selected from 103 submissions. They deal with the following areas: algorithms, graph theory, codes, polyhedral combinatorics, computational geometry, and discrete geometry.

Author : Yixin Cao,Jianer Chen
Publisher : Springer
Page : 708 pages
File Size : 55,9 Mb
Release : 2017-07-25
Category : Computers
ISBN : 9783319623894

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Computing and Combinatorics by Yixin Cao,Jianer Chen Pdf

This book constitutes the refereed proceedings of the 23rd International Conference on Computing and Combinatorics, COCOON 2017, held in Hiong Kong, China, in August 2017. The 56 full papers papers presented in this book were carefully reviewed and selected from 119 submissions. The papers cover various topics, including algorithms and data structures, complexity theory and computability, algorithmic game theory, computational learning theory, cryptography, computationalbiology, computational geometry and number theory, graph theory, and parallel and distributed computing.

Author : J.R. Sack,J. Urrutia
Publisher : Elsevier
Page : 1087 pages
File Size : 45,8 Mb
Release : 1999-12-13
Category : Mathematics
ISBN : 9780080529684

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Handbook of Computational Geometry by J.R. Sack,J. Urrutia Pdf

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.

Author : Xiaotie Deng,Dingzhu Du
Publisher : Springer
Page : 1209 pages
File Size : 55,5 Mb
Release : 2005-12-03
Category : Computers
ISBN : 9783540324263

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Algorithms and Computation by Xiaotie Deng,Dingzhu Du Pdf

This book constitutes the refereed proceedings of the 16th International Symposium on Algorithms and Computation, ISAAC 2005, held in Sanya, Hainan, China in December 2005. The 112 revised full papers presented were carefully reviewed and selected from 549 submissions. The papers are organized in topical sections on computational geometry, computational optimization, graph drawing and graph algorithms, computational complexity, approximation algorithms, internet algorithms, quantum computing and cryptography, data structure, computational biology, experimental algorithm mehodologies and online algorithms, randomized algorithms, parallel and distributed algorithms, graph drawing and graph algorithms, computational complexity, combinatorial optimization, computational biology, computational complexity, computational optimization, computational geometry, approximation algorithms, graph drawing and graph algorithms, computational geometry, approximation algorithms, graph drawing and graph algorithms, and data structure.