Visibility Algorithms in the Plane

Visibility Algorithms in the Plane
Author: Subir Kumar Ghosh
Publisher: Cambridge University Press
Total Pages: 333
Release: 2007-03-29
Genre: Computers
ISBN: 113946325X

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A human observer can effortlessly identify visible portions of geometric objects present in the environment. However, computations of visible portions of objects from a viewpoint involving thousands of objects is a time consuming task even for high speed computers. To solve such visibility problems, efficient algorithms have been designed. This book presents some of these visibility algorithms in two dimensions. Specifically, basic algorithms for point visibility, weak visibility, shortest paths, visibility graphs, link paths and visibility queries are all discussed. Several geometric properties are also established through lemmas and theorems. With over 300 figures and hundreds of exercises, this book is ideal for graduate students and researchers in the field of computational geometry. It will also be useful as a reference for researchers working in algorithms, robotics, computer graphics and geometric graph theory, and some algorithms from the book can be used in a first course in computational geometry.

Discrete and Computational Geometry and Graphs

Discrete and Computational Geometry and Graphs
Author: Jin Akiyama
Publisher: Springer
Total Pages: 199
Release: 2014-11-20
Genre: Computers
ISBN: 3319132873

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This book constitutes the thoroughly refereed post-conference proceedings of the 16th Japanese Conference on Discrete and computational Geometry and Graphs, JDCDGG 2013, held in Tokyo, Japan, in September 2013. The total of 16 papers included in this volume was carefully reviewed and selected from 58 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.

Handbook of Computational Geometry

Handbook of Computational Geometry
Author: J.R. Sack
Publisher: Elsevier
Total Pages: 1087
Release: 1999-12-13
Genre: Mathematics
ISBN: 0080529682

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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.

Intersection and Decomposition Algorithms for Planar Arrangements

Intersection and Decomposition Algorithms for Planar Arrangements
Author: Pankaj K. Agarwal
Publisher: Cambridge University Press
Total Pages: 304
Release: 1991-04-26
Genre: Mathematics
ISBN: 9780521404464

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This book, first published in 1991, presents a study of various problems related to arrangements of lines, segments, or curves in the plane.

VISIBILITY IN THE PLANE AND ITS RELATED PROBLEMS (COMPUTATIONAL GEOMETRY, ALGORITHM).

VISIBILITY IN THE PLANE AND ITS RELATED PROBLEMS (COMPUTATIONAL GEOMETRY, ALGORITHM).
Author: Sung Yong Shin
Publisher:
Total Pages: 164
Release: 1986
Genre: Algorithms
ISBN:

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Like convexity, the notion of visibility is a fundamental geometric property. It lends new geometric insight to well-known problems such as triangulation and convex hull construction. It also leads to efficient algorithms for solving new problems such as automatic disassembly and spatial planning in robotics.

Algorithms and Computation

Algorithms and Computation
Author: Kam W. Ng
Publisher: Springer Science & Business Media
Total Pages: 566
Release: 1993-11-26
Genre: Computers
ISBN: 9783540575689

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This volume presents the proceedings of the fourth annual International Symposium on Algorithms and Computation, held in Hong Kong in December 1993.Numerous selected papers present original research in such areas as design and analysis of algorithms, computational complexity, and theory of computation. Topics covered include: - automata, languages, and computability, - combinatorial, graph, geometric, and randomized algorithms, - networks and distributed algorithms, - VLSIand parallel algorithms, - theory of learning and robotics, - number theory and robotics. Three invited papers are also included.

A Journey Through Discrete Mathematics

A Journey Through Discrete Mathematics
Author: Martin Loebl
Publisher: Springer
Total Pages: 829
Release: 2017-10-11
Genre: Computers
ISBN: 3319444794

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This collection of high-quality articles in the field of combinatorics, geometry, algebraic topology and theoretical computer science is a tribute to Jiří Matoušek, who passed away prematurely in March 2015. It is a collaborative effort by his colleagues and friends, who have paid particular attention to clarity of exposition – something Jirka would have approved of. The original research articles, surveys and expository articles, written by leading experts in their respective fields, map Jiří Matoušek’s numerous areas of mathematical interest.

Combinatorial Geometry and Graph Theory

Combinatorial Geometry and Graph Theory
Author: Jin Akiyama
Publisher: Springer Science & Business Media
Total Pages: 234
Release: 2005-01-31
Genre: Computers
ISBN: 3540244018

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This book constitutes the thoroughly refereed post-proceedings of the Indonesia-Japan Joint Conference on Combinatorial Geometry and Graph Theory, IJCCGGT 2003, held in Bandung, Indonesia in September 2003. The 23 revised papers presented were carefully selected during two rounds of reviewing and improvement. Among the topics covered are coverings, convex polygons, convex polyhedra, matchings, graph colourings, crossing numbers, subdivision numbers, combinatorial optimization, combinatorics, spanning trees, various graph characteristica, convex bodies, labelling, Ramsey number estimation, etc.

Algorithms and Discrete Applied Mathematics

Algorithms and Discrete Applied Mathematics
Author: Daya Gaur
Publisher: Springer
Total Pages: 389
Release: 2017-01-24
Genre: Computers
ISBN: 3319530070

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This book constitutes the proceedings of the Third International Conference on Algorithms and Discrete Applied Mathematics, CALDAM 2017, held in Goa, India, in February 2017. The 32 papers presented in this volume were carefully reviewed and selected from 103 submissions. They deal with the following areas: algorithms, graph theory, codes, polyhedral combinatorics, computational geometry, and discrete geometry.