Mean covariogram of cylinders and applications to Boolean random sets - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Contemporary Mathematical Analysis Année : 2017

Mean covariogram of cylinders and applications to Boolean random sets

François Willot

Résumé

This work focuses on the variance properties of isotropic Boolean random sets containing randomly-oriented cylinders with circular cross-section. Emphasis is put on cylinders with large aspect ratios, of the oblate and prolate types. A link is established between the powerlaw decay of the covariance function and the variance of the estimates of the volume fraction of cylinders. The covariance and integral range of the Boolean mixtures are expressed in terms of the orientation-averaged covari-ogram of cylinders, for which exact analytical formulas and approximate expressions are provided.

Domaines

Matériaux
Fichier principal
Vignette du fichier
willotCovariogram.pdf (266.1 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01678545 , version 1 (09-01-2018)
hal-01678545 , version 2 (06-11-2018)

Identifiants

Citer

François Willot. Mean covariogram of cylinders and applications to Boolean random sets. Journal of Contemporary Mathematical Analysis, 2017, 52 (6), pp.305-315. ⟨10.3103/S1068362317060061⟩. ⟨hal-01678545v2⟩
4905 Consultations
211 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More