Combinatorial Geometry And Its Algorithmic Applications
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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.
Algorithms In Combinatorial Geometry
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Author : Herbert Edelsbrunner
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Algorithms In Combinatorial Geometry written by Herbert Edelsbrunner 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 Computers categories.
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.
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.
Handbook Of Discrete And Computational Geometry
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Author : Csaba D. Toth
language : en
Publisher: CRC Press
Release Date : 2017-11-22
Handbook Of Discrete And Computational Geometry written by Csaba D. Toth and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Computers categories.
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.
Journal Of The Acm
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Author :
language : en
Publisher:
Release Date : 2001
Journal Of The Acm written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Computers categories.
1994 Ieee 35th Symposium On Foundations Of Computer Science
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Author : Shafi Goldwasser
language : en
Publisher:
Release Date : 1994
1994 Ieee 35th Symposium On Foundations Of Computer Science written by Shafi Goldwasser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Computer science categories.
Journal Of The Association For Computing Machinery
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Author :
language : en
Publisher:
Release Date : 1997
Journal Of The Association For Computing Machinery written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.
Covers all areas of computer science, including: artificial intelligence; complexity of algorithms; computational geometry; computing in technology and the sciences; computer architecture; cryptology; database systems, networks, and digital libraries; data structures and analysis of algorithms; database theory; decisions, uncertainty, and computation; distributed computing; formal languages and complexity theory; graph theory and combinatorial structures; logic in computer science; machine learning and computational learning theory; numerical computation; operations research; parallel algorithms; parallel computation; programming languages and methodology; and scientific computing.
Extremal Problems In Combinatorial Geometry And Graph Theory With Algorithmic Applications
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Author : Geza Toth
language : en
Publisher:
Release Date : 1997
Extremal Problems In Combinatorial Geometry And Graph Theory With Algorithmic Applications written by Geza Toth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Proceedings Of The 36th Annual Acm Symposium On The Theory Of Computing
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Author :
language : en
Publisher:
Release Date : 2004
Proceedings Of The 36th Annual Acm Symposium On The Theory Of Computing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computable complexity categories.
Acta Cybernetica
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Author :
language : en
Publisher:
Release Date : 1987
Acta Cybernetica written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Cybernetics categories.