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Titlebook: Lectures on Random Voronoi Tessellations; Jesper M?ller Book 1994 Springer-Verlag New York, Inc. 1994 Division.Mathematica.Natural.Poisson

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書目名稱Lectures on Random Voronoi Tessellations
編輯Jesper M?ller
視頻videohttp://file.papertrans.cn/584/583590/583590.mp4
叢書名稱Lecture Notes in Statistics
圖書封面Titlebook: Lectures on Random Voronoi Tessellations;  Jesper M?ller Book 1994 Springer-Verlag New York, Inc. 1994 Division.Mathematica.Natural.Poisson
描述Tessellations are subdivisions of d-dimensional space into non-overlapping "cells". Voronoi tessellations are produced by first considering a set of points (known as nuclei) in d-space, and then defining cells as the set of points which are closest to each nuclei. A random Voronoi tessellation is produced by supposing that the location of each nuclei is determined by some random process. They provide models for many natural phenomena as diverse as the growth of crystals, the territories of animals, the development of regional market areas, and in subjects such as computational geometry and astrophysics. This volume provides an introduction to random Voronoi tessellations by presenting a survey of the main known results and the directions in which research is proceeding. Throughout the volume, mathematical and rigorous proofs are given making this essentially a self-contained account in which no background knowledge of the subject is assumed.
出版日期Book 1994
關(guān)鍵詞Division; Mathematica; Natural; Poisson process; Simula; Tessellation; computation; computational geometry;
版次1
doihttps://doi.org/10.1007/978-1-4612-2652-9
isbn_softcover978-0-387-94264-3
isbn_ebook978-1-4612-2652-9Series ISSN 0930-0325 Series E-ISSN 2197-7186
issn_series 0930-0325
copyrightSpringer-Verlag New York, Inc. 1994
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Introduction and background,A tessellation or mosaic of the d-dimensional Euclidean space ?. is a subdivision . into d-dimensional non-overlapping sets C.. Such arrangements occur in many natural situations and depending on the situation the sets C. might be called cells, crystals, regions, tiles, etc.
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Geometrical properties and other background material,The concepts and results presented in this chapter are frequently used in later chapters.
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