Description:

Art gallery theorems and algorithms are so called because they relate to problems involving the visibility of geometrical shapes and their internal surfaces. This book explores generalizations and specializations in these areas. Among the presentations are recently discovered theorems on orthogonal polygons, polygons with holes, exterior visibility, visibility graphs, and visibility in three dimensions. The author formulates many open problems and offers several conjectures, providing arguments which may be followed by anyone familiar with basic graph theory and algorithms. This work may be applied to robotics and artificial intelligence as well as other fields, and will be especially useful to computer scientists working with computational and combinatorial geometry.

Art Gallery Theorems and Algorithms PDF

296 Pages·1987·11.262 MB·English

by Joseph O'Rourke

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Art Gallery Theorems and Algorithms • Digital Edition • Free Download

By Joseph O'Rourke| File: 11.262| English| 1987

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Art gallery theorems and algorithms are so called because they relate to problems involving the visibility of geometrical shapes and their internal surfaces. This book explores generalizations and specializations in these areas. Among the presentations are recently discovered theorems on orthogonal polygons, polygons with holes, exterior visibility, visibility graphs, and visibility in three dimensions. The author formulates many open problems and offers several conjectures, providing arguments which may be followed by anyone familiar with basic graph theory and algorithms. This work may be applied to robotics and artificial intelligence as well as other fields, and will be especially useful to computer scientists working with computational and combinatorial geometry.

Publication Details

Title:	Art Gallery Theorems and Algorithms
Author:	Joseph O'Rourke
Published by:
Publication date:	1987
ISBN:	9780195039658
Document length:	296 pages
Written in:	English
Digital size:	11.262
Access type:	Library Collection • No Cost

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