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March 2012 The transparent dead leaves model
B. Galerne, Y. Gousseau
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Adv. in Appl. Probab. 44(1): 1-20 (March 2012). DOI: 10.1239/aap/1331216642

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.

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B. Galerne. Y. Gousseau. "The transparent dead leaves model." Adv. in Appl. Probab. 44 (1) 1 - 20, March 2012. https://doi.org/10.1239/aap/1331216642

Information

Published: March 2012
First available in Project Euclid: 8 March 2012

zbMATH: 1245.60011
MathSciNet: MR2951544
Digital Object Identifier: 10.1239/aap/1331216642

Subjects:
Primary: 60D05
Secondary: 60G60

Keywords: dead leaves model , Germ-grain model , image modeling , occlusion , texture modeling , transparency

Rights: Copyright © 2012 Applied Probability Trust

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Vol.44 • No. 1 • March 2012
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