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Titlebook: New Trends in Discrete and Computational Geometry; János Pach Book 1993 Springer-Verlag Berlin Heidelberg 1993 Algorithmentheorie.Approxim

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发表于 2025-3-21 19:03:28 | 显示全部楼层 |阅读模式
书目名称New Trends in Discrete and Computational Geometry
编辑János Pach
视频video
丛书名称Algorithms and Combinatorics
图书封面Titlebook: New Trends in Discrete and Computational Geometry;  János Pach Book 1993 Springer-Verlag Berlin Heidelberg 1993 Algorithmentheorie.Approxim
描述Discrete and computational geometry are two fields which in recent years have benefitted from the interaction between mathematics and computer science. The results are applicable in areas such as motion planning, robotics, scene analysis, and computer aided design. The book consists of twelve chapters summarizing the most recent results and methods in discrete and computational geometry. All authors are well-known experts in these fields. They give concise and self-contained surveys of the most efficient combinatorical, probabilistic and topological methods that can be used to design effective geometric algorithms for the applications mentioned above. Most of the methods and results discussed in the book have not appeared in any previously published monograph. In particular, this book contains the first systematic treatment of epsilon-nets, geometric tranversal theory, partitions of Euclidean spaces and a general method for the analysis of randomized geometric algorithms. Apart from mathematicians working in discrete and computational geometry this book will also be of great use to computer scientists and engineers, who would like to learn about the most recent results.
出版日期Book 1993
关键词Algorithmentheorie; Approximation von Hyperebenen; Combinatorics; Epsilonnetze; Kombinatorik; Konvexität;
版次1
doihttps://doi.org/10.1007/978-3-642-58043-7
isbn_softcover978-3-642-63449-9
isbn_ebook978-3-642-58043-7Series ISSN 0937-5511 Series E-ISSN 2197-6783
issn_series 0937-5511
copyrightSpringer-Verlag Berlin Heidelberg 1993
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发表于 2025-3-21 23:24:41 | 显示全部楼层
New Trends in Discrete and Computational Geometry978-3-642-58043-7Series ISSN 0937-5511 Series E-ISSN 2197-6783
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Algorithms and Combinatoricshttp://image.papertrans.cn/n/image/665925.jpg
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https://doi.org/10.1007/978-3-642-58043-7Algorithmentheorie; Approximation von Hyperebenen; Combinatorics; Epsilonnetze; Kombinatorik; Konvexität;
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Combinatorics and Algorithms of Arrangements,in many geometric problems, as will be exemplified below. To introduce the class of problems we will be interested in, we begin with the following concrete example, taken from the theory of . in robotics.
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Complexity of Polytope Volume Computation,We survey some recent results on the complexity of computing the vol­ume of convex .-dimensional polytopes.
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Set Theoretic Constructions in Euclidean Spaces,The most important methods of constructing, via the axiom of choice, various sets and decompositions in Euclidean spaces, omitting some geometrical configurations are surveyed.
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