A mixed Boolean and deposit model for the modeling of metal pigments in paint layers

Abstract : Pigments made of metal particles of around 10 µm or 20 µm produce sparkling effects in paints, due to the specular reflection that occurs at this scale. Overall, the optical aspect of paints depend on the density and distribution in space of the particles. In this work, we model the dispersion of metal particles of size up to 50 µm, visible to the eyes, in a paint layer. Making use of optical and scanning electron microscopy (SEM) images, we estimate the dispersion of particles in terms of correlation functions. Particles tend to aggregate into clusters, as shown by the presence of oscillations in the correlation functions. Furthermore, the volume fraction of particles is non-uniform in space. It is highest in the middle of the layer and lowest near the surfaces of the layer. To model this microstructure, we explore two models. The first one is a deposit model where particles fall onto a surface. It is unable to reproduce the observed measurements. We then introduce a "stack" model where clusters are first modeled by a 2D Poisson point process, and a bi-directional deposit model is used to implant particles in each cluster. Good agreement is found with respect to SEM images in terms of correlation functions and density of particles along the layer height.
Liste complète des métadonnées

Cited literature [16 references]  Display  Hide  Download

https://hal-mines-paristech.archives-ouvertes.fr/hal-01154597
Contributor : François Willot <>
Submitted on : Friday, May 22, 2015 - 3:15:59 PM
Last modification on : Monday, November 12, 2018 - 11:04:32 AM
Document(s) archivé(s) le : Tuesday, September 15, 2015 - 6:43:30 AM

File

CoukaEtAl-IAS-Final.pdf
Files produced by the author(s)

Identifiers

Citation

Enguerrand Couka, François Willot, Dominique Jeulin. A mixed Boolean and deposit model for the modeling of metal pigments in paint layers. Image Analysis and Stereology, International Society for Stereology, 2015, 34 (2), pp.125-134. ⟨10.5566/ias.1220⟩. ⟨hal-01154597⟩

Share

Metrics

Record views

381

Files downloads

109