Lectures on Random Voronoi Tessellations:
Gespeichert in:
Beteilige Person: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | Englisch |
Veröffentlicht: |
New York, NY
Springer New York
1994
|
Schriftenreihe: | Lecture Notes in Statistics
87 |
Schlagwörter: | |
Links: | https://doi.org/10.1007/978-1-4612-2652-9 |
Beschreibung: | 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 |
Umfang: | 1 Online-Ressource (VIII, 134p) |
ISBN: | 9781461226529 9780387942643 |
ISSN: | 0930-0325 |
DOI: | 10.1007/978-1-4612-2652-9 |
Internformat
MARC
LEADER | 00000nam a2200000zcb4500 | ||
---|---|---|---|
001 | BV042420059 | ||
003 | DE-604 | ||
005 | 00000000000000.0 | ||
007 | cr|uuu---uuuuu | ||
008 | 150317s1994 xx o|||| 00||| eng d | ||
020 | |a 9781461226529 |c Online |9 978-1-4612-2652-9 | ||
020 | |a 9780387942643 |c Print |9 978-0-387-94264-3 | ||
024 | 7 | |a 10.1007/978-1-4612-2652-9 |2 doi | |
035 | |a (OCoLC)869872846 | ||
035 | |a (DE-599)BVBBV042420059 | ||
040 | |a DE-604 |b ger |e aacr | ||
041 | 0 | |a eng | |
049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
082 | 0 | |a 519.2 |2 23 | |
084 | |a MAT 000 |2 stub | ||
100 | 1 | |a Møller, Jesper |e Verfasser |4 aut | |
245 | 1 | 0 | |a Lectures on Random Voronoi Tessellations |c by Jesper Møller |
264 | 1 | |a New York, NY |b Springer New York |c 1994 | |
300 | |a 1 Online-Ressource (VIII, 134p) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
490 | 0 | |a Lecture Notes in Statistics |v 87 |x 0930-0325 | |
500 | |a 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 | ||
650 | 4 | |a Mathematics | |
650 | 4 | |a Distribution (Probability theory) | |
650 | 4 | |a Probability Theory and Stochastic Processes | |
650 | 4 | |a Mathematik | |
650 | 0 | 7 | |a Poisson-Voronoi-Mosaik |0 (DE-588)4340017-6 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Wahrscheinlichkeitsverteilung |0 (DE-588)4121894-2 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Polygon |0 (DE-588)4175197-8 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Räumliche Verteilung |0 (DE-588)4121550-3 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Überdeckung |0 (DE-588)4186550-9 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Voronoi-Diagramm |0 (DE-588)4226013-9 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Parkettierung |0 (DE-588)4126296-7 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Poisson-Voronoi-Mosaik |0 (DE-588)4340017-6 |D s |
689 | 0 | |8 1\p |5 DE-604 | |
689 | 1 | 0 | |a Parkettierung |0 (DE-588)4126296-7 |D s |
689 | 1 | |8 2\p |5 DE-604 | |
689 | 2 | 0 | |a Voronoi-Diagramm |0 (DE-588)4226013-9 |D s |
689 | 2 | |8 3\p |5 DE-604 | |
689 | 3 | 0 | |a Räumliche Verteilung |0 (DE-588)4121550-3 |D s |
689 | 3 | |8 4\p |5 DE-604 | |
689 | 4 | 0 | |a Überdeckung |0 (DE-588)4186550-9 |D s |
689 | 4 | |8 5\p |5 DE-604 | |
689 | 5 | 0 | |a Polygon |0 (DE-588)4175197-8 |D s |
689 | 5 | |8 6\p |5 DE-604 | |
689 | 6 | 0 | |a Wahrscheinlichkeitsverteilung |0 (DE-588)4121894-2 |D s |
689 | 6 | |8 7\p |5 DE-604 | |
856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4612-2652-9 |x Verlag |3 Volltext |
912 | |a ZDB-2-SMA | ||
912 | |a ZDB-2-BAE | ||
940 | 1 | |q ZDB-2-SMA_Archive | |
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 3\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 4\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 5\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 6\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 7\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-027855476 |
Datensatz im Suchindex
DE-BY-TUM_katkey | 2067068 |
---|---|
_version_ | 1821931189130231809 |
any_adam_object | |
author | Møller, Jesper |
author_facet | Møller, Jesper |
author_role | aut |
author_sort | Møller, Jesper |
author_variant | j m jm |
building | Verbundindex |
bvnumber | BV042420059 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
ctrlnum | (OCoLC)869872846 (DE-599)BVBBV042420059 |
dewey-full | 519.2 |
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 |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03961nam a2200757zcb4500</leader><controlfield tag="001">BV042420059</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1994 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461226529</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4612-2652-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780387942643</subfield><subfield code="c">Print</subfield><subfield code="9">978-0-387-94264-3</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4612-2652-9</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)869872846</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042420059</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519.2</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Møller, Jesper</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Lectures on Random Voronoi Tessellations</subfield><subfield code="c">by Jesper Møller</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY</subfield><subfield code="b">Springer New York</subfield><subfield code="c">1994</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (VIII, 134p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Lecture Notes in Statistics</subfield><subfield code="v">87</subfield><subfield code="x">0930-0325</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">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</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Distribution (Probability theory)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Probability Theory and Stochastic Processes</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Poisson-Voronoi-Mosaik</subfield><subfield code="0">(DE-588)4340017-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wahrscheinlichkeitsverteilung</subfield><subfield code="0">(DE-588)4121894-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Polygon</subfield><subfield code="0">(DE-588)4175197-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Räumliche Verteilung</subfield><subfield code="0">(DE-588)4121550-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Überdeckung</subfield><subfield code="0">(DE-588)4186550-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Voronoi-Diagramm</subfield><subfield code="0">(DE-588)4226013-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Parkettierung</subfield><subfield code="0">(DE-588)4126296-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Poisson-Voronoi-Mosaik</subfield><subfield code="0">(DE-588)4340017-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Parkettierung</subfield><subfield code="0">(DE-588)4126296-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Voronoi-Diagramm</subfield><subfield code="0">(DE-588)4226013-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Räumliche Verteilung</subfield><subfield code="0">(DE-588)4121550-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="8">4\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="4" ind2="0"><subfield code="a">Überdeckung</subfield><subfield code="0">(DE-588)4186550-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="4" ind2=" "><subfield code="8">5\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="5" ind2="0"><subfield code="a">Polygon</subfield><subfield code="0">(DE-588)4175197-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="5" ind2=" "><subfield code="8">6\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="6" ind2="0"><subfield code="a">Wahrscheinlichkeitsverteilung</subfield><subfield code="0">(DE-588)4121894-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="6" ind2=" "><subfield code="8">7\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4612-2652-9</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">3\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">4\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">5\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">6\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">7\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027855476</subfield></datafield></record></collection> |
id | DE-604.BV042420059 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T17:10:41Z |
institution | BVB |
isbn | 9781461226529 9780387942643 |
issn | 0930-0325 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855476 |
oclc_num | 869872846 |
open_access_boolean | |
owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
physical | 1 Online-Ressource (VIII, 134p) |
psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
publishDate | 1994 |
publishDateSearch | 1994 |
publishDateSort | 1994 |
publisher | Springer New York |
record_format | marc |
series2 | Lecture Notes in Statistics |
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 |
work_keys_str_mv | AT møllerjesper lecturesonrandomvoronoitessellations |