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Robotics Research Technical Report, Vol. 255: The Complexity of Many Faces in Arrangements of Lines and of Segments (Classic Reprint) - Softcover
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Excerpt from Robotics Research Technical Report, Vol. 255: The Complexity of Many Faces in Arrangements of Lines and of Segments
In our present application, the desired upper bound on K(m,n) is obtained by analyz ing the space complexity of the resulting algorithm. The time complexity of the algo rithm is roughly a polylogarithmic factor times the upper bound on K(m,n) men tioned above (see Section 3 for a more precise bound). The algorithm is based on a random sampling technique akin to the e - net method of Haussler and Welzl [hw] and to the random sampling method of Clarkson [cl]. We obtain a randomized algorithm which always terminates and produces the desired output and which, with high pro bability, does so within the stated time bound.
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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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Excerpt from Robotics Research Technical Report, Vol. 255: The Complexity of Many Faces in Arrangements of Lines and of Segments
In our present application, the desired upper bound on K(m,n) is obtained by analyz ing the space complexity of the resulting algorithm. The time complexity of the algo rithm is roughly a polylogarithmic factor times the upper bound on K(m,n) men tioned above (see Section 3 for a more precise bound). The algorithm is based on a random sampling technique akin to the e - net method of Haussler and Welzl [hw] and to the random sampling method of Clarkson [cl]. We obtain a randomized algorithm which always terminates and produces the desired output and which, with high pro bability, does so within the stated time bound.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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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Excerpt from Robotics Research Technical Report, Vol. 255: The Complexity of Many Faces in Arrangements of Lines and of Segments
Robotics Research Technical Report: The Complexity of Many Faces in Arrangements of Lines and of Segments was written by Herbert Edelsbrunner and Leonidas Guibas in 1988. This is a 44 page book, containing 16125 words and 16 pictures. Search Inside is enabled for this title.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
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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Robotics Research Technical Report, Vol. 255 : The Complexity of Many Faces in Arrangements of Lines and of Segments (Classic Reprint)
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Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher. Bestandsnummer des Verkäufers 26057431/2
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Robotics Research Technical Report, Vol 255 The Complexity of Many Faces in Arrangements of Lines and of Segments Classic Reprint
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Robotics Research Technical Report, Vol 255 The Complexity of Many Faces in Arrangements of Lines and of Segments Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332115396
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Robotics Research Technical Report, Vol. 255 (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book offers a highly analytical exploration of line arrangements in the plane, an important topic in computational geometry. The author delves into determining the maximum number of edges that bound a collection of faces within a given arrangement of lines or line segments. This investigation sheds light on the inherent combinatorial complexity of such arrangements, a subject that has captivated mathematicians for centuries. Through rigorous analysis and intricate algorithms, the author uncovers captivating insights into the intricate relationships between lines and their intersections, providing a deeper understanding of the fundamental structures that govern geometric configurations. 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. Bestandsnummer des Verkäufers 9781332115396_0
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