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.
引用
收藏
页码：143 / 169
页数：27
相关论文
共 50 条
  • [1] BOOLEAN RANDOM FUNCTIONS
    SERRA, J
    JOURNAL OF MICROSCOPY-OXFORD, 1989, 156 : 41 - 63
  • [2] BOOLEAN RANDOM FUNCTIONS
    SERRA, J
    ACTA STEREOLOGICA, VOL 6, SUPP 3, PARTS 1-2, 1987, 6 : 325 - 330
  • [3] MINIMIZABILITY OF RANDOM BOOLEAN FUNCTIONS
    FLEISHER, H
    GIRALDI, J
    PHOENIX, R
    TAVEL, M
    IEEE TRANSACTIONS ON COMPUTERS, 1989, 38 (04) : 593 - 595
  • [4] SIMULATION OF BOOLEAN RANDOM FUNCTIONS
    PRETEUX, F
    SCHMITT, M
    JOURNAL DE MICROSCOPIE ET DE SPECTROSCOPIE ELECTRONIQUES, 1987, 12 (01): : 141 - 146
  • [5] Random tessellations generated by Boolean random functions
    Jeulin, Dominique
    PATTERN RECOGNITION LETTERS, 2014, 47 : 139 - 146
  • [6] Bent functions and random Boolean formulas
    Savicky, P
    DISCRETE MATHEMATICS, 1995, 147 (1-3) : 211 - 234
  • [7] Quasi-Random Boolean Functions
    Chung, Fan
    Sieger, Nicholas
    ELECTRONIC JOURNAL OF COMBINATORICS, 2024, 31 (02):
  • [8] Nonlinearity measures of random Boolean functions
    Kai-Uwe Schmidt
    Cryptography and Communications, 2016, 8 : 637 - 645
  • [9] Random Networks with Quantum Boolean Functions
    Franco, Mario
    Zapata, Octavio
    Rosenblueth, David A.
    Gershenson, Carlos
    MATHEMATICS, 2021, 9 (08)
  • [10] Distribution of the autocorrelation of random Boolean functions
    François Rodier
    Florian Caullery
    Eric Férard
    Cryptography and Communications, 2023, 15 : 995 - 1009
12345