Lectures on Random Voronoi Tessellations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1994
|
| Series: | Lecture Notes in Statistics
87 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (VIII, 134p) |
| ISBN: | 9781461226529 9780387942643 |
| ISSN: | 0930-0325 |
| DOI: | 10.1007/978-1-4612-2652-9 |
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Record in the Search Index
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-2652-9 |
| format | Electronic eBook |
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| spelling | Møller, Jesper Verfasser aut Lectures on Random Voronoi Tessellations by Jesper Møller New York, NY Springer New York 1994 1 Online-Ressource (VIII, 134p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Statistics 87 0930-0325 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 Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Poisson-Voronoi-Mosaik (DE-588)4340017-6 gnd rswk-swf Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd rswk-swf Polygon (DE-588)4175197-8 gnd rswk-swf Räumliche Verteilung (DE-588)4121550-3 gnd rswk-swf Überdeckung (DE-588)4186550-9 gnd rswk-swf Voronoi-Diagramm (DE-588)4226013-9 gnd rswk-swf Parkettierung (DE-588)4126296-7 gnd rswk-swf Poisson-Voronoi-Mosaik (DE-588)4340017-6 s 1\p DE-604 Parkettierung (DE-588)4126296-7 s 2\p DE-604 Voronoi-Diagramm (DE-588)4226013-9 s 3\p DE-604 Räumliche Verteilung (DE-588)4121550-3 s 4\p DE-604 Überdeckung (DE-588)4186550-9 s 5\p DE-604 Polygon (DE-588)4175197-8 s 6\p DE-604 Wahrscheinlichkeitsverteilung (DE-588)4121894-2 s 7\p DE-604 https://doi.org/10.1007/978-1-4612-2652-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 7\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Møller, Jesper Lectures on Random Voronoi Tessellations Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Poisson-Voronoi-Mosaik (DE-588)4340017-6 gnd Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd Polygon (DE-588)4175197-8 gnd Räumliche Verteilung (DE-588)4121550-3 gnd Überdeckung (DE-588)4186550-9 gnd Voronoi-Diagramm (DE-588)4226013-9 gnd Parkettierung (DE-588)4126296-7 gnd |
| subject_GND | (DE-588)4340017-6 (DE-588)4121894-2 (DE-588)4175197-8 (DE-588)4121550-3 (DE-588)4186550-9 (DE-588)4226013-9 (DE-588)4126296-7 |
| title | Lectures on Random Voronoi Tessellations |
| title_auth | Lectures on Random Voronoi Tessellations |
| title_exact_search | Lectures on Random Voronoi Tessellations |
| title_full | Lectures on Random Voronoi Tessellations by Jesper Møller |
| title_fullStr | Lectures on Random Voronoi Tessellations by Jesper Møller |
| title_full_unstemmed | Lectures on Random Voronoi Tessellations by Jesper Møller |
| title_short | Lectures on Random Voronoi Tessellations |
| title_sort | lectures on random voronoi tessellations |
| topic | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Poisson-Voronoi-Mosaik (DE-588)4340017-6 gnd Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd Polygon (DE-588)4175197-8 gnd Räumliche Verteilung (DE-588)4121550-3 gnd Überdeckung (DE-588)4186550-9 gnd Voronoi-Diagramm (DE-588)4226013-9 gnd Parkettierung (DE-588)4126296-7 gnd |
| topic_facet | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Poisson-Voronoi-Mosaik Wahrscheinlichkeitsverteilung Polygon Räumliche Verteilung Überdeckung Voronoi-Diagramm Parkettierung |
| url | https://doi.org/10.1007/978-1-4612-2652-9 |
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