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THE TRANSPARENT DEAD LEAVES MODEL.

Authors :
Galerne, B.
Gousseau, Y.
Source :
Advances in Applied Probability; Mar2012, Vol. 44 Issue 1, p1-20, 20p
Publication Year :
2012

Abstract

In this paper we introduce the transparent dead leaves (TDL) random field, a new germ-grain model in which the grains are combined according to a transparency principle. Informally, this model may be seen as the superposition of infinitely many semitransparent objects. It is therefore of interest in view of the modeling of natural images. Properties of this new model are established and a simulation algorithm is proposed. The main contribution of the paper is to establish a central limit theorem, showing that, when varying the transparency of the grain from opacity to total transparency, the TDL model ranges from the dead leaves model to a Gaussian random field. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00018678
Volume :
44
Issue :
1
Database :
Complementary Index
Journal :
Advances in Applied Probability
Publication Type :
Academic Journal
Accession number :
74694112
Full Text :
https://doi.org/10.1239/aap/1331216642