ENGLISH

Art Gallery Theorems and Algorithms

By Joseph O'Rourke

Book information

Publisher
Oxford University Press
Year
1987
ISBN
0195039653, 9780195039658
ASIN
B000OLX4Z8
LCC
QA167
Language
english
Format
PDF
Filesize
11 MB (11808942 bytes)
Series
International Series of Monographs on Computer Science, No 3
Pages
296\296
Topic
Computers
Time added
2011-06-04 13:46:07

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.

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