Boolean Random Functions

被引：2
|
作者：
Jeulin, Dominique [1 ]
机构：
[1] MINES Paris Tech, Ctr Morphol Math, F-77305 Fontainebleau, France
来源：
STOCHASTIC GEOMETRY, SPATIAL STATISTICS AND RANDOM FIELDS: MODELS AND ALGORITHMS | 2015年 / 2120卷
关键词：
D O I：
10.1007/978-3-319-10064-7_5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of Boolean random functions is considered which is a generalization of Boolean random closed sets. Their construction is based on the combination of a sequence of primary random functions by the operation boolean OR (supremum) or boolean AND (infimum), and their main properties (among which the supremum or infimum infinite divisibility) are given in the case of scalar random functions built on Poisson point processes. Examples of applications to the modeling of rough surfaces are given.
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页码：143 / 169
页数：27
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