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Journal Articles Advances in Applied Probability Year : 2012

The Transparent Dead Leaves Model

Abstract

This paper introduces 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 semi-transparent 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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Dates and versions

hal-00505281 , version 1 (23-07-2010)
hal-00505281 , version 2 (07-06-2011)
hal-00505281 , version 3 (06-09-2011)

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Bruno Galerne, Yann Gousseau. The Transparent Dead Leaves Model. Advances in Applied Probability, 2012, 44 (1), pp.1--20. ⟨10.1239/aap/1331216642⟩. ⟨hal-00505281v3⟩
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