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Titlebook: Euclidean Shortest Paths; Exact or Approximate Fajie Li,Reinhard Klette Book 2011 Springer-Verlag London Limited 2011 Art Gallery Problems.

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书目名称Euclidean Shortest Paths
副标题Exact or Approximate
编辑Fajie Li,Reinhard Klette
视频video
概述Reviews algorithms for the exact or approximate solution of Euclidean shortest-path problems, with a specific focus on rubberband algorithms.Provides theoretical and programming exercises at the end o
图书封面Titlebook: Euclidean Shortest Paths; Exact or Approximate Fajie Li,Reinhard Klette Book 2011 Springer-Verlag London Limited 2011 Art Gallery Problems.
描述This unique text/reference reviews algorithms for the exact or approximate solution of shortest-path problems, with a specific focus on a class of algorithms called rubberband algorithms. Discussing each concept and algorithm in depth, the book includes mathematical proofs for many of the given statements. Topics and features: provides theoretical and programming exercises at the end of each chapter; presents a thorough introduction to shortest paths in Euclidean geometry, and the class of algorithms called rubberband algorithms; discusses algorithms for calculating exact or approximate ESPs in the plane; examines the shortest paths on 3D surfaces, in simple polyhedrons and in cube-curves; describes the application of rubberband algorithms for solving art gallery problems, including the safari, zookeeper, watchman, and touring polygons route problems; includes lists of symbols and abbreviations, in addition to other appendices.
出版日期Book 2011
关键词Art Gallery Problems; Computational Geometry; Cube Curves; Euclidean Shortest Path; Parts Cutting Proble
版次1
doihttps://doi.org/10.1007/978-1-4471-2256-2
isbn_softcover978-1-4471-6064-9
isbn_ebook978-1-4471-2256-2
copyrightSpringer-Verlag London Limited 2011
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Diabetes and Protein Glycosylation. and ., or allowing to have those variable, where . is the total number of vertices of the given . simple and pairwise disjoint polygons; .(.) defines the numerical accuracy depending on a selected .>0.
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Matthew T. Crow,Erica N. Johnsonere the super-linear time complexity is only due to preprocessing, i.e., for the decomposition of the simple polygon ., ., . is the length of an optimal path and .. the length of the initial path, as introduced in Sect. ..
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Geert Jan Biessels,Jose A. Luchsingerting ZRP with . runtime, where . is the number of vertices of all polygons involved, and . the number of the “cages”. Extensions of the algorithms presented can solve more general SRPs and ZRPs if each convex polygon is replaced by a convex region such as convex polybeziers (beziergons) or ellipses.
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