Surveys On Discrete And Computational Geometry

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Surveys on Discrete and Computational Geometry

Author : Jacob E. Goodman
Publisher : American Mathematical Soc.
ISBN 13 : 0821842390
Total Pages : 568 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Surveys on Discrete and Computational Geometry by : Jacob E. Goodman

Download or read book Surveys on Discrete and Computational Geometry written by Jacob E. Goodman and published by American Mathematical Soc.. This book was released on 2008 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains nineteen survey papers describing the state of current research in discrete and computational geometry as well as a set of open problems presented at the 2006 AMS-IMS-SIAM Summer Research Conference Discrete and Computational Geometry--Twenty Years Later, held in Snowbird, Utah, in June 2006. Topics surveyed include metric graph theory, lattice polytopes, the combinatorial complexity of unions of geometric objects, line and pseudoline arrangements, algorithmic semialgebraic geometry, persistent homology, unfolding polyhedra, pseudo-triangulations, nonlinear computational geometry, $k$-sets, and the computational complexity of convex bodies.

Discrete and Computational Geometry

Author : Jacob E. Goodman
Publisher : American Mathematical Soc.
ISBN 13 : 9780821865958
Total Pages : 378 pages
Book Rating : 4.8/5 (659 download)

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Book Synopsis Discrete and Computational Geometry by : Jacob E. Goodman

Download or read book Discrete and Computational Geometry written by Jacob E. Goodman and published by American Mathematical Soc.. This book was released on 1991-01-01 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first DIMACS special year, held during 1989-1990, was devoted to discrete and computational geometry. The workshops addressed the following topics: geometric complexity, probabilistic methods in discrete and computational geometry, polytopes and convex sets, arrangements, and algebraic and practical issues in geometric computation. This volume presents results of the workshops and the special year activities. Containing both survey articles and research papers, this collection presents an excellent overview of discrete and computational geometry. The diversity of these papers demonstrate how geometry continues to provide a vital source of ideas in theoretical computer science and discrete mathematics as well as fertile ground for interaction and stimulation between the two disciplines.

Handbook of Discrete and Computational Geometry

Author : Csaba D. Toth
Publisher : CRC Press
ISBN 13 : 1498711421
Total Pages : 1928 pages
Book Rating : 4.4/5 (987 download)

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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.

Advances in Discrete and Computational Geometry

Author : Bernard Chazelle
Publisher : American Mathematical Soc.
ISBN 13 : 0821806742
Total Pages : 463 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Advances in Discrete and Computational Geometry by : Bernard Chazelle

Download or read book Advances in Discrete and Computational Geometry written by Bernard Chazelle and published by American Mathematical Soc.. This book was released on 1999 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of refereed expository and research articles in discrete and computational geometry written by leaders in the field. Articles are based on invited talks presented at the AMS-IMS-SIAM Summer Research Conference, ``Discrete and Computational Geometry: Ten Years Later'', held in 1996 at Mt. Holyoke College (So. Hadley, MA). Topics addressed range from tilings, polyhedra, and arrangements to computational topology and visibility problems. Included are papers on the interaction between real algebraic geometry and discrete and computational geometry, as well as on linear programming and geometric discrepancy theory.

Discrete and Computational Geometry

Author : Boris Aronov
Publisher : Springer Science & Business Media
ISBN 13 : 3642555667
Total Pages : 853 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Discrete and Computational Geometry by : Boris Aronov

Download or read book Discrete and Computational Geometry written by Boris Aronov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 853 pages. Available in PDF, EPUB and Kindle. Book excerpt: An impressive collection of original research papers in discrete and computational geometry, contributed by many leading researchers in these fields, as a tribute to Jacob E. Goodman and Richard Pollack, two of the ‘founding fathers’ of the area, on the occasion of their 2/3 x 100 birthdays. The topics covered by the 41 papers provide professionals and graduate students with a comprehensive presentation of the state of the art in most aspects of discrete and computational geometry, including geometric algorithms, study of arrangements, geometric graph theory, quantitative and algorithmic real algebraic geometry, with important connections to algebraic geometry, convexity, polyhedral combinatorics, the theory of packing, covering, and tiling. The book serves as an invaluable source of reference in this discipline.

Research Problems in Discrete Geometry

Author : Peter Brass
Publisher : Springer Science & Business Media
ISBN 13 : 0387299297
Total Pages : 500 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Research Problems in Discrete Geometry by : Peter Brass

Download or read book Research Problems in Discrete Geometry written by Peter Brass and published by Springer Science & Business Media. This book was released on 2006-01-27 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of a 25-year-old project and comprises a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research.

Discrete and Computational Geometry

Author : Satyan L. Devadoss
Publisher : Princeton University Press
ISBN 13 : 1400838983
Total Pages : 270 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Discrete and Computational Geometry by : Satyan L. Devadoss

Download or read book Discrete and Computational Geometry written by Satyan L. Devadoss and published by Princeton University Press. This book was released on 2011-04-11 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: An essential introduction to discrete and computational geometry Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances in recent years, yet what has been lacking until now is an undergraduate textbook that bridges the gap between the two. Discrete and Computational Geometry offers a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science. This book covers traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as more recent subjects like pseudotriangulations, curve reconstruction, and locked chains. It also touches on more advanced material, including Dehn invariants, associahedra, quasigeodesics, Morse theory, and the recent resolution of the Poincaré conjecture. Connections to real-world applications are made throughout, and algorithms are presented independently of any programming language. This richly illustrated textbook also features numerous exercises and unsolved problems. The essential introduction to discrete and computational geometry Covers traditional topics as well as new and advanced material Features numerous full-color illustrations, exercises, and unsolved problems Suitable for sophomores in mathematics, computer science, engineering, or physics Rigorous but accessible An online solutions manual is available (for teachers only).

Discrete and Computational Geometry

Author : Jacob E. Goodman
Publisher : American Mathematical Soc.
ISBN 13 : 9780821871010
Total Pages : 394 pages
Book Rating : 4.8/5 (71 download)

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Book Synopsis Discrete and Computational Geometry by : Jacob E. Goodman

Download or read book Discrete and Computational Geometry written by Jacob E. Goodman and published by American Mathematical Soc.. This book was released on 1991-01-01 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first DIMACS special year, held during 1989-1990, was devoted to discrete and computational geometry. More than 200 scientists, both long- and short-term visitors, came to DIMACS to participate in the special year activities. Among the highlights were six workshops at Rutgers and Princeton Universities that defined the focus for much of the special year. The workshops addressed the following topics: geometric complexity, probabilistic methods in discrete and computational geometry, polytopes and convex sets, arrangements, and algebraic and practical issues in geometric computation. This volume presents some of the results growing out of the workshops and the special year activities. Containing both survey articles and research papers, this collection presents an excellent overview of significant recent progress in discrete and computational geometry. The diversity of these papers demonstrate how geometry continues to provide a vital source of ideas in theoretical computer science and discrete mathematics as well as fertile ground for interaction and simulation between the two disciplines.

Data Depth

Author : Regina Y. Liu
Publisher : American Mathematical Soc.
ISBN 13 : 0821835963
Total Pages : 264 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Data Depth by : Regina Y. Liu

Download or read book Data Depth written by Regina Y. Liu and published by American Mathematical Soc.. This book was released on 2006 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of some of the research presented at the workshop of the same name held in May 2003 at Rutgers University. The workshop brought together researchers from two different communities: statisticians and specialists in computational geometry. The main idea unifying these two research areas turned out to be the notion of data depth, which is an important notion both in statistics and in the study of efficiency of algorithms used in computational geometry. Many of the articles in the book lay down the foundations for further collaboration and interdisciplinary research. Information for our distributors: Co-published with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1-7 were co-published with the Association for Computer Machinery (ACM).

New Trends in Discrete and Computational Geometry

Author : Janos Pach
Publisher : Springer Science & Business Media
ISBN 13 : 3642580432
Total Pages : 342 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis New Trends in Discrete and Computational Geometry by : Janos Pach

Download or read book New Trends in Discrete and Computational Geometry written by Janos Pach and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometry - Intuitive, Discrete, and Convex

Author : Imre Bárány
Publisher : Springer
ISBN 13 : 3642414982
Total Pages : 367 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Geometry - Intuitive, Discrete, and Convex by : Imre Bárány

Download or read book Geometry - Intuitive, Discrete, and Convex written by Imre Bárány and published by Springer. This book was released on 2015-04-09 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is a collection of a dozen survey articles, dedicated to the memory of the famous Hungarian geometer, László Fejes Tóth, on the 99th anniversary of his birth. Each article reviews recent progress in an important field in intuitive, discrete, and convex geometry. The mathematical work and perspectives of all editors and most contributors of this volume were deeply influenced by László Fejes Tóth.

Discrete Geometry

Author : Andras Bezdek
Publisher : CRC Press
ISBN 13 : 0824747615
Total Pages : 500 pages
Book Rating : 4.8/5 (247 download)

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Book Synopsis Discrete Geometry by : Andras Bezdek

Download or read book Discrete Geometry written by Andras Bezdek and published by CRC Press. This book was released on 2003-02-04 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating the work of Professor W. Kuperberg, this reference explores packing and covering theory, tilings, combinatorial and computational geometry, and convexity, featuring an extensive collection of problems compiled at the Discrete Geometry Special Session of the American Mathematical Society in New Orleans, Louisiana. Discrete Geometry analyzes packings and coverings with congruent convex bodies , arrangements on the sphere, line transversals, Euclidean and spherical tilings, geometric graphs, polygons and polyhedra, and fixing systems for convex figures. This text also offers research and contributions from more than 50 esteemed international authorities, making it a valuable addition to any mathematical library.

Combinatorial and Computational Geometry

Author : Jacob E. Goodman
Publisher : Cambridge University Press
ISBN 13 : 9780521178396
Total Pages : 0 pages
Book Rating : 4.1/5 (783 download)

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Book Synopsis Combinatorial and Computational Geometry by : Jacob E. Goodman

Download or read book Combinatorial and Computational Geometry written by Jacob E. Goodman and published by Cambridge University Press. This book was released on 2011-06-02 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past few decades, the gradual merger of Discrete Geometry and the newer discipline of Computational Geometry has provided enormous impetus to mathematicians and computer scientists interested in geometric problems. This volume, which contains 32 papers on a broad range of topics of current interest in the field, is an outgrowth of that synergism. It includes surveys and research articles exploring geometric arrangements, polytopes, packing, covering, discrete convexity, geometric algorithms and their complexity, and the combinatorial complexity of geometric objects, particularly in low dimension.

Research in Computational Topology 2

Author : Ellen Gasparovic
Publisher : Springer Nature
ISBN 13 : 3030955192
Total Pages : 304 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Research in Computational Topology 2 by : Ellen Gasparovic

Download or read book Research in Computational Topology 2 written by Ellen Gasparovic and published by Springer Nature. This book was released on 2022-05-10 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume of Research in Computational Topology is a celebration and promotion of research by women in applied and computational topology, containing the proceedings of the second workshop for Women in Computational Topology (WinCompTop) as well as papers solicited from the broader WinCompTop community. The multidisciplinary and international WinCompTop workshop provided an exciting and unique opportunity for women in diverse locations and research specializations to interact extensively and collectively contribute to new and active research directions in the field. The prestigious senior researchers that signed on to head projects at the workshop are global leaders in the discipline, and two of them were authors on some of the first papers in the field. Some of the featured topics include topological data analysis of power law structure in neural data; a nerve theorem for directional graph covers; topological or homotopical invariants for directed graphs encoding connections among a network of neurons; and the issue of approximation of objects by digital grids, including precise relations between the persistent homology of dual cubical complexes.

Discrete and Computational Geometry, Graphs, and Games

Author : Jin Akiyama
Publisher : Springer Nature
ISBN 13 : 3030900487
Total Pages : 196 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Discrete and Computational Geometry, Graphs, and Games by : Jin Akiyama

Download or read book Discrete and Computational Geometry, Graphs, and Games written by Jin Akiyama and published by Springer Nature. This book was released on 2021-10-28 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 21st Japanese Conference on Discrete and Computational Geometry and Graphs, JCDCGGG 2018, held in Quezon City, Philippines, in September 2018. The total of 14 papers included in this volume was carefully reviewed and selected from 25 submissions. The papers feature advances made in the field of computational geometry and focus on emerging technologies, new methodology and applications, graph theory and dynamics.

Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1490110119
Total Pages : 1225 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition by :

Download or read book Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition written by and published by ScholarlyEditions. This book was released on 2013-05-01 with total page 1225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Random Structures and Algorithms. The editors have built Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Random Structures and Algorithms in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Computational Geometry

Author : Alberto Márquez
Publisher : Springer
ISBN 13 : 3642341918
Total Pages : 283 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Computational Geometry by : Alberto Márquez

Download or read book Computational Geometry written by Alberto Márquez and published by Springer. This book was released on 2012-11-13 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift volume is published in honor of Ferran Hurtado on the occasion of his 60th birthday; it contains extended versions of selected communications presented at the XIV Spanish Meeting on Computational Geometry, held at the University of Alcalá, Spain, in June 2011. Ferran Hurtado has played a central role in the Spanish community of Computational Geometry since its very beginning, and the quantity and quality of the international participants in the conference is an indisputable proof of his relevance in the international level. The 26 revised full papers were carefully reviewed and selected from numerous submissions. The papers present original research in computational geometry, in its broadest sense. Topics included are discrete and combinatorial geometry, linear programming applied to geometric problems, geometric algorithms and data structures, theoretical foundations of computational geometry, questions of interest in the implementation of geometric algorithms, and applications of computational geometry.