dense random packings, dead leaves model


The intact grains of the dead leaves model enables us to generate random media with non overlapping grains. Using the time non homogeneous sequential model with convex grains, theoretically very dense packings can be generated, up to a full covering of space. For these models, the theoretical volume fraction, the size distribution of grains, and the pair correlation function of centers of grains are given.


Altendorf H., Jeulin D. (2011) Random-walk-based stochastic modeling of three-dimensional fiber systems, Phys. Rev. E 83, 041804.

Andersson J., Häggström O., Månsson M. (2006) The volume fraction of a non-overlapping germ-grain model, Electron. Commun. Probab., 11, pp. 78-88.

Aste T., Weaire D. (2000)The pursuit of perfect packing, Institute of Physics Publisher.

Delarue A., Jeulin D. (2001) Multi-scale simulations of spherical aggregates, communication to the 8th European Congress for Stereology, Bordeaux, 4-7 September 2001, Image Anal. Stereol., Vol. 20, N 3, pp. 181-186.

Hashin Z. (1962) The elastic moduli of hetrogeneous materials, J. Appl. Mech., Vol. 29, N1, pp. 143150.

Jeulin D. (1980) Multi-component random models for the description of complex microstructures, Proc. 5th International Congress for Stereology, Mikroskopie, Vol. 37 S: 130-137.

Jeulin D. (1987) Random Structure analysis and modelling by mathematical morphology, Invited Lecture, Proc. 5th International Symp. on Continuum Models of Discrete Systems, Nottingham, 14-20 July 1985, A.J.M. Spencer (ed), A.A. Balkema, Rotterdam, pp. 217-26.

Jeulin D. (1989) Morphological Modeling of images by Sequential Random Functions, Signal Process., 16, pp. 403-31.

Jeulin D. (1993) Random models for the morphological analysis of powders, J. Microsc. Vol. 172, Part 1, October 1993, pp. 13-21.

Jeulin D. (1997) Dead Leaves Models: from space tesselation to random functions, in Proc. of the Symposium on the Advances in the Theory and Applications of Random Sets (Fontainebleau, 9-11 October 1996), D. Jeulin (ed), World Scientific Publishing Company, pp. 137-56.

Jeulin D. (1998) Random packings, unpublished work.

Jeulin D. (1998) Probabilistic models of structures, Invited Key-Note Lecture, Workshop PROBAMAT 21rst Century, Perm, Russia, 10-12 September 1997, G.N. Frantziskonis (ed), NATO ASI Series vol. 46, 233-257.

Jeulin D. (2000) Random texture models for materials structures, Stat. Comput., vol. 10, 121-31.

Jeulin D. (2002) Modelling random media, Invited lecture, 8th European Congress for Stereology, Image Anal. Stereol. Vo. 21, Suppl. 1, pp. S31-S40.

Kiderlen M., Hörig M. (2013) Matérns hard core models of types I and II with arbitrary compact grains, CSGB Research report N5, July 2013.

Matérn B. (1960) Spatial Variation, Meddelanden fran Statens Skogsforkningsinstitut, Vol. 49 (5), pp. 1-144.

Matheron G. Schéma booléen séquentiel de partition aléatoire. Paris School of Mines Publication, 1968.

Stoyan, D., Kendall, W.S., Mecke, J. Stochastic Geometry and its Applications, J. Wiley, New York, 1987.

Stoyan D., Schlather M. (2000) random Sequential Adsorption: relationship to Dead Leaves and Characterization of Variability, J.Stat. Phys., Vol. 100, N° 5/6, pp. 969-79.




How to Cite

Jeulin, D. (2019). SOME DENSE RANDOM PACKINGS GENERATED BY THE DEAD LEAVES MODEL. Image Analysis and Stereology, 38(1), 3–13.



Original Research Paper

Most read articles by the same author(s)

<< < 1 2 3 > >>