The Transparent Dead Leaves Process

Bruno Galerne (1) , Yann Gousseau (2)

1 CMLA - Centre de Mathématiques et de Leurs Applications
2 LTCI - Laboratoire Traitement et Communication de l'Information

This paper introduces the transparent dead leaves (TDL) process, a new germ-grain model in which the grains are combined according to a transparency principle. Informally, this model may be seen as the superimposition of infinitely many semi-transparent objects. Properties of this new model are established and a simulation algorithm is proposed. A central limit theorem is then proved, showing that when varying the transparency of the grain from opacity to total transparency, the TDL process ranges from the dead leaves model to a Gaussian random field.

Mots clés: Germ-grain model; Dead leaves model; Transparency; Occlusion; Image modeling

Domaines: Probabilités [math.PR]

Bruno Galerne, Yann Gousseau. The Transparent Dead Leaves Process. 2010. ⟨hal-00505281v1⟩