EXACT SIMULATION OF A BOOLEAN MODEL

EXACT SIMULATION OF A BOOLEAN MODEL

A Boolean model is a union of independent objects (compact random subsets) located at Poisson points. Two algorithms are proposed for simulating a Boolean model in a bounded domain. The first one applies only to stationary models. It generates the objects prior to their Poisson locations. Two exampl...

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Bibliographic Details
Main Author: Christian Lantuéjoul
Format: Article
Language:English
Published: Slovenian Society for Stereology and Quantitative Image Analysis 2013-06-01
Series:Image Analysis and Stereology
Subjects:
Boolean model
importance sampling
Minkowsky functionals
Steiner formula
Online Access:http://www.ias-iss.org/ojs/IAS/article/view/978
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spelling doaj-1eec2a199ddb41d3a75b806a90ef827c2020-11-24T23:19:33ZengSlovenian Society for Stereology and Quantitative Image AnalysisImage Analysis and Stereology1580-31391854-51652013-06-0132210110510.5566/ias.v32.p101-105891EXACT SIMULATION OF A BOOLEAN MODELChristian Lantuéjoul0Ecole des Mines-ParistechA Boolean model is a union of independent objects (compact random subsets) located at Poisson points. Two algorithms are proposed for simulating a Boolean model in a bounded domain. The first one applies only to stationary models. It generates the objects prior to their Poisson locations. Two examples illustrate its applicability. The second algorithm applies to stationary and non-stationary models. It generates the Poisson points prior to the objects. Its practical difficulties of implementation are discussed. Both algorithms are based on importance sampling techniques, and the generated objects are weighted.http://www.ias-iss.org/ojs/IAS/article/view/978Boolean modelimportance samplingMinkowsky functionalsSteiner formula
collection DOAJ
language English
format Article
sources DOAJ
author Christian Lantuéjoul
spellingShingle Christian Lantuéjoul
EXACT SIMULATION OF A BOOLEAN MODEL
Image Analysis and Stereology
Boolean model
importance sampling
Minkowsky functionals
Steiner formula
author_facet Christian Lantuéjoul
author_sort Christian Lantuéjoul
title EXACT SIMULATION OF A BOOLEAN MODEL
title_short EXACT SIMULATION OF A BOOLEAN MODEL
title_full EXACT SIMULATION OF A BOOLEAN MODEL
title_fullStr EXACT SIMULATION OF A BOOLEAN MODEL
title_full_unstemmed EXACT SIMULATION OF A BOOLEAN MODEL
title_sort exact simulation of a boolean model
publisher Slovenian Society for Stereology and Quantitative Image Analysis
series Image Analysis and Stereology
issn 1580-3139
1854-5165
publishDate 2013-06-01
description A Boolean model is a union of independent objects (compact random subsets) located at Poisson points. Two algorithms are proposed for simulating a Boolean model in a bounded domain. The first one applies only to stationary models. It generates the objects prior to their Poisson locations. Two examples illustrate its applicability. The second algorithm applies to stationary and non-stationary models. It generates the Poisson points prior to the objects. Its practical difficulties of implementation are discussed. Both algorithms are based on importance sampling techniques, and the generated objects are weighted.
topic Boolean model
importance sampling
Minkowsky functionals
Steiner formula
url http://www.ias-iss.org/ojs/IAS/article/view/978
work_keys_str_mv AT christianlantuejoul exactsimulationofabooleanmodel
_version_ 1725578454983770112

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