Download or read book Randomized Incremental Construction of Abstract Voronoi Diagrams written by Rolf Klein and published by . This book was released on 1993 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."
Download or read book Randomized Incremental Construction of Simple Abstract Voronoi Diagrams in 3 space written by Ngo̧c-Minh Lê and published by . This book was released on 1995 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Randomized Incremental Construction of Delaunay and Voronoi Diagrams written by Leonidas J. Guibas and published by . This book was released on 1990 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Voronoi diagram of n sites in the plane and its dual, the Delaunay tesselation, are among the most important constructs in two-dimensional Computational Geometry. Their properties, as well as algorithms for their construction, are extensively covered in the standard textbooks of the field, such as (13) or (26), and in numerous papers, e.g. (19). The original papers on the subject are (29) and (30) by Voronoi (circa 1907), and (10) and (11) by Delaunay (circa 1932). Because of the practical importance of the Voronoi and Delaunay diagrams, some of the algorithms for constructing them have been carefully implemented and widely tested in practice. These diagrams are important tools in applications ranging from finite element codes, to pattern classification in statistics, to motion planning in robotics, etc. Analogs of these diagrams exist in higher dimensions as well. Though the higher dimensional diagrams are still very useful, a lot less is known about efficient algorithms for their construction because their topological structure is significantly harder to analyze.... (from the "Introduction" (there is no abstract))
Download or read book Concrete and Abstract Voronoi Diagrams written by Rolf Klein and published by Springer Science & Business Media. This book was released on 1989-12-20 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Voronoi Diagrams And Delaunay Triangulations written by Franz Aurenhammer and published by World Scientific Publishing Company. This book was released on 2013-06-26 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Transactions on Computational Science IX written by C. J. Kenneth Tan and published by Springer Science & Business Media. This book was released on 2010-10-21 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 9th issue of the Transactions on Computational Science journal, edited by François Anton, is devoted to the subject of Voronoi diagrams in science and engineering. The 9 papers included in the issue constitute extended versions of selected papers from the International Symposium on Voronoi Diagrams, held in Copenhagen, Denmark, June 23-36, 2009. Topics covered include: divide and conquer construction of Voronoi diagrams; new generalized Voronoi diagrams or properties of existing generalized Voronoi diagrams; and applications of Voronoi diagrams and their duals in graph theory, computer graphics, bioinformatics, and spatial process simulation.
Download or read book Computing and Combinatorics written by Yixin Cao and published by Springer. This book was released on 2017-07-25 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Handbook of Computational Geometry written by J.R. Sack and published by Elsevier. This book was released on 1999-12-13 with total page 1087 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Fundamentals of Computation Theory written by Horst Reichel and published by Springer Science & Business Media. This book was released on 1995-08-16 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Computing and Combinatorics written by Ding-Zhu Du and published by Springer. This book was released on 2003-06-26 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th Annual International Conference on Computing and Combinatorics, COCOON 2000, held in Sydney, Australia in July 2000.The 44 revised full papers presented together with two invited contributions were carefully reviewed and selected from a total of 81 submissions. The book offers topical sections on computational geometry; graph drawing; graph theory and algorithms; complexity, discrete mathematics, and number theory; online algorithms; parallel and distributed computing; combinatorial optimization; data structures and computational biology; learning and cryptography; and automata and quantum computing.
Download or read book Algorithms in Combinatorial Geometry written by Herbert Edelsbrunner and published by Springer Science & Business Media. This book was released on 1987-07-31 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational geometry as an area of research in its own right emerged in the early seventies of this century. Right from the beginning, it was obvious that strong connections of various kinds exist to questions studied in the considerably older field of combinatorial geometry. For example, the combinatorial structure of a geometric problem usually decides which algorithmic method solves the problem most efficiently. Furthermore, the analysis of an algorithm often requires a great deal of combinatorial knowledge. As it turns out, however, the connection between the two research areas commonly referred to as computa tional geometry and combinatorial geometry is not as lop-sided as it appears. Indeed, the interest in computational issues in geometry gives a new and con structive direction to the combinatorial study of geometry. It is the intention of this book to demonstrate that computational and com binatorial investigations in geometry are doomed to profit from each other. To reach this goal, I designed this book to consist of three parts, acorn binatorial part, a computational part, and one that presents applications of the results of the first two parts. The choice of the topics covered in this book was guided by my attempt to describe the most fundamental algorithms in computational geometry that have an interesting combinatorial structure. In this early stage geometric transforms played an important role as they reveal connections between seemingly unrelated problems and thus help to structure the field.
Download or read book Algorithms and Computation written by Hee-Kap Ahn and published by Springer. This book was released on 2014-11-07 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Algorithms ESA 2002 written by Rolf Möhring and published by Springer. This book was released on 2003-08-02 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Towards Dynamic Randomized Algorithms in Computational Geometry written by Monique Teillaud and published by Springer Science & Business Media. This book was released on 1993-11-23 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a fundamental analysis of the influence of woody plants on agricultural production, in relation to characteristics of these plants, with examples mostly from the Sahelian countries. The conclusions enable practitioners in the field of rural development in semi-arid tropical countries to identify proper conditions for using plants to improve and sustain agricultural production for specific agropastoral objectives.
Download or read book Algorithms and Computation written by Prosenjit K. Bose and published by Springer. This book was released on 2003-08-02 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation. This book constitutes the refereed proceedings of the 13th Annual International Symposium on Algorithms and Computation, ISAAC 2002, held in Vancouver, BC, Canada in November 2002. The 54 revised full papers presented together with 3 invited contributions were carefully reviewed and selected from close to 160 submissions. The papers cover all relevant topics in algorithmics and computation, in particular computational geometry, algorithms and data structures, approximation algorithms, randomized algorithms, graph drawing and graph algorithms, combinatorial optimization, computational biology, computational finance, cryptography, and parallel and distributedd algorithms.
Download or read book Algorithms ESA 2003 written by Giuseppe Di Battista and published by Springer Science & Business Media. This book was released on 2003-09-15 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Canadian Conference on Computational Geometry written by Frank Fiala and published by McGill-Queen's Press - MQUP. This book was released on 1996-08-15 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
