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, a… Mehr…
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. eBooks > Fremdsprachige eBooks > Englische eBooks > Sach- & Fachthemen > Mathematik; eBooks > Fachbücher > Mathematik , Springer New York, PDF, Springer New York<
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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, an… Mehr…
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.; PDF; Scientific, Technical and Medical > Mathematics > Probability & statistics, Springer New York<
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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, a… Mehr…
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. eBooks > Fremdsprachige eBooks > Englische eBooks > Sach- & Fachthemen > Mathematik; eBooks > Fachbücher > Mathematik , Springer New York, PDF, Springer New York<
Nr. A1038010394. Versandkosten:Lieferzeiten außerhalb der Schweiz 3 bis 21 Werktage, , Sofort per Download lieferbar, zzgl. Versandkosten. (EUR 18.59)
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, an… Mehr…
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.; PDF; Scientific, Technical and Medical > Mathematics > Probability & statistics, Springer New York<
No. 9781461226529. Versandkosten:Instock, Despatched same working day before 3pm, zzgl. Versandkosten.
Lectures on Random Voronoi Tessellations ab 96.49 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher nein eBook als pdf, Springer New York
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Lectures on Random Voronoi Tessellations: ab 96.49 € eBooks > Fachthemen & Wissenschaft > Mathematik Springer New York eBook als pdf, Springer New York
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Detailangaben zum Buch - Lectures on Random Voronoi Tessellations
EAN (ISBN-13): 9781461226529 Erscheinungsjahr: 2012 Herausgeber: Springer New York
Buch in der Datenbank seit 2017-05-23T00:17:07+02:00 (Zurich) Detailseite zuletzt geändert am 2022-10-27T09:37:39+02:00 (Zurich) ISBN/EAN: 9781461226529
ISBN - alternative Schreibweisen: 978-1-4612-2652-9
Daten vom Verlag:
Autor/in: Jesper Moller Titel: Lecture Notes in Statistics; Lectures on Random Voronoi Tessellations Verlag: Springer; Springer US 134 Seiten Erscheinungsjahr: 2012-12-06 New York; NY; US Sprache: Englisch 53,49 € (DE) 55,00 € (AT) 59,00 CHF (CH) Available VIII, 134 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Wahrscheinlichkeitsrechnung und Statistik; Verstehen; Division; Mathematica; Natural; Poisson process; Simula; Tessellation; computation; computational geometry; distribution; geometry; integral; knowledge; point process; statistics; story; C; Probability Theory; Mathematics and Statistics; Stochastik; BC
1. Introduction and background.- 1.1. Definitions, assumptions, and characteristics.- 1.2. History and applications.- 1.3. Related tessellations.- 2. Geometrical properties and other background material.- 2.1. On the geometric structure of Voronoi and Delaunay tessellations.- 2.2. Short diversion into integral geometry.- 3. Stationary Voronoi tessellations.- 3.1. Spatial point processes and stationarity.- 3.2. Palm measures and intensities of cells and facets.- 3.3. Mean value relations.- 3.4. Flat sections.- 4. Poisson-Voronoi tessellations.- 4.1. The homogeneous Poisson process.- 4.2. Mean value characteristics of Poisson-Voronoi facets.- 4.3. On the distribution of the typical Poisson-Delaunay cell and related statistics.- 4.4. On the distribution of the typical Poisson-Voronoi cell and related statistics.- 4.5. Simulation procedures for Poisson-Voronoi tessellations and other related models.- References.- Subject and author index.- Notation index.
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