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Art gallery theorems and algorithms
Autor: O\'Rourke, Joseph
Rok: 1987.
ISBN: 9780195039658
OKCZID: 110347385
Citace (dle ČSN ISO 690):
O'ROURKE, Joseph. Art Gallery Theorems and Algorithms. New York: Oxford University Press, 1987, 282 s. The International Series of Monographs on Computer Science, 3. ISBN 0-19-503965-3.
Anotace
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.