Open AccessEXACT SIMULATION OF A BOOLEAN MODEL
Author(s) -
Christian Lantuéjoul
Publication year - 2013
Publication title -
image analysis and stereology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.237
H-Index - 27
eISSN - 1854-5165
pISSN - 1580-3139
DOI - 10.5566/ias.v32.p101-105
Subject(s) - boolean model , bounded function , poisson distribution , computer science , boolean domain , domain (mathematical analysis) , algorithm , mathematics , theoretical computer science , discrete mathematics , algebra over a field , statistics , two element boolean algebra , pure mathematics , mathematical analysis , filtered algebra
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