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Surveys on Discrete and Computational Geometry

2008 Mathematics
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Release : 2008
Genre : Mathematics
Kind : eBook
Book Rating : 390/5 ( reviews)

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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. This book was released on 2008. 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.

Surveys on Discrete and Computational Geometry

2008 Combinatorial geometry
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Release : 2008
Genre : Combinatorial geometry
Kind : eBook
Book Rating : /5 ( reviews)

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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. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Discrete and Computational Geometry

2017-11-22 Computers
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Release : 2017-11-22
Genre : Computers
Kind : eBook
Book Rating : 421/5 ( reviews)

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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. This book was released on 2017-11-22. 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.

New Trends in Discrete and Computational Geometry

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 432/5 ( reviews)

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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. This book was released on 2012-12-06. 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.

Discrete and Computational Geometry

1991-01-01 Mathematics
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Release : 1991-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 958/5 ( reviews)

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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. This book was released on 1991-01-01. 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.

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