Robotics Research Technical Report: Combinatorial and Algorithmic Analysis of Space Decomposition Problems (Classic Reprint) - Couverture souple

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9781332114689: Robotics Research Technical Report: Combinatorial and Algorithmic Analysis of Space Decomposition Problems (Classic Reprint)

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ISBN 10 : 1332114687 ISBN 13 : 9781332114689

Editeur : Forgotten Books, 2018

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�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1332114687
ISBN 13: 9781332114689
Reliure: Broch�
Nombre de pages: 199
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Robotics Research Technical Report (Classic Reprint)

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Edit� par Forgotten Books, 2018

ISBN 10 : 1332114687 ISBN 13 : 9781332114689

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Paperback. Etat : New. Print on Demand. This book analyzes the structure of space decomposition problems in computational geometry. It approaches this area of study through two main tracks: geodesic Voronoi diagrams and relative convexity. The Voronoi diagram of a set of sites partitions space into cells, each associated with a particular site such that all points in the cell are closer to that site than to any other site. Geodesic Voronoi diagrams are a generalized Voronoi diagram that instead of the Euclidean metric commonly employed, use an intrinsic geodesic distance within a simple polygon. The other approach this book takes is to provide a thorough combinatorial analysis of the structure of arrangements of convex plates in three-dimensional space and to establish subcubic bounds on the maximum cell complexity of such arrangements. The author's results provide insight into the computational complexity of motion planning algorithms and show that there exists a subdivision of cells that is not much larger than the combinatorial complexity of the cell(s) being triangulated. 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. N� de r�f. du vendeur 9781332114689_0

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