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Intersection and Closest-Pair Problems for a Set of Planar Objects (Classic Reprint) - Softcover

 
9781332144990: Intersection and Closest-Pair Problems for a Set of Planar Objects (Classic Reprint)

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The algorithm halts whenever an intersection is detected, or, if no intersection has been detected, when all the abscissae a, and b, have been processed, in which case the algorithm reports that there is no intersection between the objects in S.

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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Micha Sharir
Published by Forgotten Books, 2018
ISBN 10: 1332144993 ISBN 13: 9781332144990
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Paperback. Condition: New. Print on Demand. This book explores efficient algorithms for detecting intersections and computing closest neighbors in a set of convex bodies within the plane. The authors generalize known techniques for solving these problems with sets of points or line segments. One algorithm constructs a generalized Voronoi diagram for a set of circular bodies in time O(n log^2 n), and demonstrates its applications. Another algorithm locates the closest neighbor to a query point among a set of n bodies, preprocessing the set in linear time and performing a query in O(log n) time. The book's insights on efficient geometric algorithms are significant for applications in the fields of robotics and computer science. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332144990_0

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ISBN 10: 1332144993 ISBN 13: 9781332144990
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