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Art Gallery Theorems and Algorithms

Art Gallery Theorems and Algorithms
by Joseph O'Rourke

Publisher: Oxford University Press 1987
ISBN/ASIN: 0195039653
ISBN-13: 9780195039658
Number of pages: 296

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. 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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