Open AccessEstimating the Parameters of a Stochastic Geometrical Model for Multiphase Flow Images Using Local Measures
Author(s) -
Léo Théodon,
Tatjana Eremina,
Kassem Dia,
Fabrice Lamadie,
JeanCharles Pinoli,
Johan Debayle
Publication year - 2021
Publication title -
image analysis and stereology
Language(s) - English
Resource type - Journals
eISSN - 1854-5165
pISSN - 1580-3139
DOI - 10.5566/ias.2638
Subject(s) - mathematics , covariance , flow (mathematics) , algorithm , boolean model , binary number , statistics , mathematical optimization , computer science , geometry , arithmetic
This paper presents a new method for estimating the parameters of a stochastic geometric model for multiphase flow image processing using local measures. Local measures differ from global measures in that they are only based on a small part of a binary image and consequently provide different information of certain properties such as area and perimeter. Since local measures have been shown to be helpful in estimating the typical grain elongation ratio of a homogeneous Boolean model, the objective of this study was to use these local measures to statistically infer the parameters of a more complex non-Boolean model from a sample of observations. An optimization algorithm is used to minimize a cost function based on the likelihood of a probability densityof local measurements. The performance of the model is analysed using numerical experiments and real observations. The errors relative to real images of most of the properties of the model-generated images are less than 2%. The covariance and particle size distribution are also calculated and compared.