Advances in Applied Probability
- Adv. in Appl. Probab.
- Volume 44, Number 1 (2012), 1-20.
The transparent dead leaves model
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.
Adv. in Appl. Probab., Volume 44, Number 1 (2012), 1-20.
First available in Project Euclid: 8 March 2012
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 60D05: Geometric probability and stochastic geometry [See also 52A22, 53C65]
Secondary: 60G60: Random fields
Galerne, B.; Gousseau, Y. The transparent dead leaves model. Adv. in Appl. Probab. 44 (2012), no. 1, 1--20. doi:10.1239/aap/1331216642. https://projecteuclid.org/euclid.aap/1331216642