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Bucketing And Filtering In Computational Geometry
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Book Synopsis Shortest Connectivity by : Dietmar Cieslik
Download or read book Shortest Connectivity written by Dietmar Cieslik and published by Springer Science & Business Media. This book was released on 2006-06-02 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim in this graduate level text is to outline the key mathematical concepts that underpin these important questions in applied mathematics. These concepts involve discrete mathematics (particularly graph theory), optimization, computer science, and several ideas in biology.
Book Synopsis Steiner Minimal Trees by : Dietmar Cieslik
Download or read book Steiner Minimal Trees written by Dietmar Cieslik and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of "Shortest Connectivity", which is discussed here, has a long and convoluted history. Many scientists from many fields as well as laymen have stepped on its stage. Usually, the problem is known as Steiner's Problem and it can be described more precisely in the following way: Given a finite set of points in a metric space, search for a network that connects these points with the shortest possible length. This shortest network must be a tree and is called a Steiner Minimal Tree (SMT). It may contain vertices different from the points which are to be connected. Such points are called Steiner points. Steiner's Problem seems disarmingly simple, but it is rich with possibilities and difficulties, even in the simplest case, the Euclidean plane. This is one of the reasons that an enormous volume of literature has been published, starting in 1 the seventeenth century and continuing until today. The difficulty is that we look for the shortest network overall. Minimum span ning networks have been well-studied and solved eompletely in the case where only the given points must be connected. The novelty of Steiner's Problem is that new points, the Steiner points, may be introduced so that an intercon necting network of all these points will be shorter. This also shows that it is impossible to solve the problem with combinatorial and geometric methods alone.
Book Synopsis Computational Geometry by : Franco P. Preparata
Download or read book Computational Geometry written by Franco P. Preparata and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This book offers a coherent treatment, at the graduate textbook level, of the field that has come to be known in the last decade or so as computational geometry. ... ... The book is well organized and lucidly written; a timely contribution by two founders of the field. It clearly demonstrates that computational geometry in the plane is now a fairly well-understood branch of computer science and mathematics. It also points the way to the solution of the more challenging problems in dimensions higher than two." #Mathematical Reviews#1 "... This remarkable book is a comprehensive and systematic study on research results obtained especially in the last ten years. The very clear presentation concentrates on basic ideas, fundamental combinatorial structures, and crucial algorithmic techniques. The plenty of results is clever organized following these guidelines and within the framework of some detailed case studies. A large number of figures and examples also aid the understanding of the material. Therefore, it can be highly recommended as an early graduate text but it should prove also to be essential to researchers and professionals in applied fields of computer-aided design, computer graphics, and robotics." #Biometrical Journal#2
Download or read book SWAT 88 written by Rolf Karlsson and published by Springer. This book was released on 1988 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume were presented at the 1st Scandinavian Workshop on Algorithm Theory held July 5-8, 1988 in Halmstad, Sweden. The contributions present original research in areas related to algorithm theory, including data structures, computational geometry, and computational complexity. In addition to the selected papers the proceedings include invited papers from I. Munro, K. Mehlhorn, M. Overmars, and D. Wood.
Book Synopsis Handbook of Discrete and Computational Geometry by : Csaba D. Toth
Download or read book Handbook of Discrete and Computational Geometry written by Csaba D. Toth and published by CRC Press. This book was released on 2017-11-22 with total page 1928 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.
Download or read book SWAT ... written by and published by . This book was released on 1988 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finite Element Mesh Generation by : Daniel S.H. Lo
Download or read book Finite Element Mesh Generation written by Daniel S.H. Lo and published by CRC Press. This book was released on 2015-01-15 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highlights the Progression of Meshing Technologies and Their Applications Finite Element Mesh Generation provides a concise and comprehensive guide to the application of finite element mesh generation over 2D domains, curved surfaces, and 3D space. Organised according to the geometry and dimension of the problem domains, it develops from the basic meshing algorithms to the most advanced schemes to deal with problems with specific requirements such as boundary conformity, adaptive and anisotropic elements, shape qualities, and mesh optimization. It sets out the fundamentals of popular techniques, including: Delaunay triangulation Advancing-front (ADF) approach Quadtree/Octree techniques Refinement and optimization-based strategies From the geometrical and the topological aspects and their associated operations and inter-relationships, each approach is vividly described and illustrated with examples. Beyond the algorithms, the book also explores the practice of using metric tensor and surface curvatures for generating anisotropic meshes on parametric space. It presents results from research including 3D anisotropic meshing, mesh generation over unbounded domains, meshing by means of intersection, re-meshing by Delaunay-ADF approach, mesh refinement and optimization, generation of hexahedral meshes, and large scale and parallel meshing, along with innovative unpublished meshing methods. The author provides illustrations of major meshing algorithms, pseudo codes, and programming codes in C++ or FORTRAN. Geared toward research centers, universities, and engineering companies, Finite Element Mesh Generation describes mesh generation methods and fundamental techniques, and also serves as a valuable reference for laymen and experts alike.
Book Synopsis Proceedings of the Third Annual Symposium on Computational Geometry by :
Download or read book Proceedings of the Third Annual Symposium on Computational Geometry written by and published by . This book was released on 1987 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Spatial Databases by : Michel Scholl
Download or read book Advances in Spatial Databases written by Michel Scholl and published by Springer Science & Business Media. This book was released on 1997-07-02 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Content Description #Includes bibliographical references and index.
Book Synopsis Algorithms and Computation by : Ding-Zhu Du
Download or read book Algorithms and Computation written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 1994-07-27 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the fifth International Symposium on Algorithms and Computation, ISAAC '94, held in Beijing, China in August 1994. The 79 papers accepted for inclusion in the volume after a careful reviewing process were selected from a total of almost 200 submissions. Besides many internationally renowned experts, a number of excellent Chinese researchers present their results to the international scientific community for the first time here. The volume covers all relevant theoretical and many applicational aspects of algorithms and computation.
Book Synopsis Handbook of Discrete and Combinatorial Mathematics by : Kenneth H. Rosen
Download or read book Handbook of Discrete and Combinatorial Mathematics written by Kenneth H. Rosen and published by CRC Press. This book was released on 1999-09-28 with total page 1252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The importance of discrete and combinatorial mathematics continues to increase as the range of applications to computer science, electrical engineering, and the biological sciences grows dramatically. Providing a ready reference for practitioners in the field, the Handbook of Discrete and Combinatorial Mathematics, Second Edition presents additional material on Google's matrix, random graphs, geometric graphs, computational topology, and other key topics. New chapters highlight essential background information on bioinformatics and computational geometry. Each chapter includes a glossary, definitions, facts, examples, algorithms, major applications, and references.
Book Synopsis Rendering for Beginners by : Saty Raghavachary
Download or read book Rendering for Beginners written by Saty Raghavachary and published by CRC Press. This book was released on 2004-10-26 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finally, a non-technical introduction to Pixar's RenderMan written for artists!
Book Synopsis Algorithmic Foundations of Geographic Information Systems by : Marc van Kreveld
Download or read book Algorithmic Foundations of Geographic Information Systems written by Marc van Kreveld and published by Lecture Notes in Computer Science. This book was released on 1997-11-12 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This state-of-the-art tutorial brings together current research and development on Geographic Information Systems. In nine chapters, the authors present a unique survey, ranging from the history and basic characteristics, to current issues of precision and robustness of geometric computing.
Book Synopsis Advanced Query Processing by : Barbara Catania
Download or read book Advanced Query Processing written by Barbara Catania and published by Springer Science & Business Media. This book was released on 2012-07-28 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research book presents key developments, directions, and challenges concerning advanced query processing for both traditional and non-traditional data. A special emphasis is devoted to approximation and adaptivity issues as well as to the integration of heterogeneous data sources. The book will prove useful as a reference book for senior undergraduate or graduate courses on advanced data management issues, which have a special focus on query processing and data integration. It is aimed for technologists, managers, and developers who want to know more about emerging trends in advanced query processing.
Book Synopsis Algorithms in a Nutshell by : George T. Heineman
Download or read book Algorithms in a Nutshell written by George T. Heineman and published by "O'Reilly Media, Inc.". This book was released on 2009 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides efficient code solutions in several programming languages that you can easily adapt to a specific project. Each major algorithm is presented in the style of a design pattern that includes information to help you understand why and when the algorithm is appropriate--
Book Synopsis Handbook of Data Structures and Applications by : Dinesh P. Mehta
Download or read book Handbook of Data Structures and Applications written by Dinesh P. Mehta and published by Taylor & Francis. This book was released on 2018-02-21 with total page 1120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Data Structures and Applications was first published over a decade ago. This second edition aims to update the first by focusing on areas of research in data structures that have seen significant progress. While the discipline of data structures has not matured as rapidly as other areas of computer science, the book aims to update those areas that have seen advances. Retaining the seven-part structure of the first edition, the handbook begins with a review of introductory material, followed by a discussion of well-known classes of data structures, Priority Queues, Dictionary Structures, and Multidimensional structures. The editors next analyze miscellaneous data structures, which are well-known structures that elude easy classification. The book then addresses mechanisms and tools that were developed to facilitate the use of data structures in real programs. It concludes with an examination of the applications of data structures. Four new chapters have been added on Bloom Filters, Binary Decision Diagrams, Data Structures for Cheminformatics, and Data Structures for Big Data Stores, and updates have been made to other chapters that appeared in the first edition. The Handbook is invaluable for suggesting new ideas for research in data structures, and for revealing application contexts in which they can be deployed. Practitioners devising algorithms will gain insight into organizing data, allowing them to solve algorithmic problems more efficiently.
Book Synopsis Geometric Approximation Algorithms by : Sariel Har-Peled
Download or read book Geometric Approximation Algorithms written by Sariel Har-Peled and published by American Mathematical Soc.. This book was released on 2011 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exact algorithms for dealing with geometric objects are complicated, hard to implement in practice, and slow. Over the last 20 years a theory of geometric approximation algorithms has emerged. These algorithms tend to be simple, fast, and more robust than their exact counterparts. This book is the first to cover geometric approximation algorithms in detail. In addition, more traditional computational geometry techniques that are widely used in developing such algorithms, like sampling, linear programming, etc., are also surveyed. Other topics covered include approximate nearest-neighbor search, shape approximation, coresets, dimension reduction, and embeddings. The topics covered are relatively independent and are supplemented by exercises. Close to 200 color figures are included in the text to illustrate proofs and ideas.
