Local Measures Distribution for the Estimation of the Elongation Ratio of the Typical Grain in Homogeneous Boolean Models - Mines Saint-Étienne Access content directly
Journal Articles Image Analysis & Stereology Year : 2021

Local Measures Distribution for the Estimation of the Elongation Ratio of the Typical Grain in Homogeneous Boolean Models

Abstract

We introduce a particular localization of the Minkowski functionals to characterize and discriminate different random spatial structures. The aim of this paper is to present a method estimating the typical grain elongation ratio in a homogeneous Boolean model. The use of this method is demonstrated on a range of Boolean models of rectangles featuring fixed and random elongation ratio. An optimization algorithm is performed to determine the elongation ratio which maximize the likelihood function of the probability density associated with the local perimeter measure. Therefore, the elongation ratio of the typical grain can be deduced.
Fichier principal
Vignette du fichier
TE_JD Image Analysis Stereology 2021.pdf (760.28 Ko) Télécharger le fichier
Origin : Publisher files allowed on an open archive

Dates and versions

emse-03291388 , version 1 (19-07-2021)

Licence

Attribution - NonCommercial

Identifiers

Cite

Tatyana Eremina, Johan Debayle, Frédéric Gruy, Jean-Charles Pinoli. Local Measures Distribution for the Estimation of the Elongation Ratio of the Typical Grain in Homogeneous Boolean Models. Image Analysis & Stereology, 2021, 40 (2), pp.95 à 103. ⟨10.5566/ias.2554⟩. ⟨emse-03291388⟩
37 View
63 Download

Altmetric

Share

Gmail Facebook X LinkedIn More