A 3D STOCHASTIC MODEL FOR GEOMETRICAL CHARACTERIZATION OF PARTICLES IN TWO-PHASE FLOW APPLICATIONS
In this paper a new approach to geometrically model and characterize 2D silhouette images of two-phase flows is proposed. The method consists of a 3D modeling of the particles population based on some morphological and interaction assumptions. It includes the following steps. First, the main analyti...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Slovenian Society for Stereology and Quantitative Image Analysis
2018-12-01
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| Series: | Image Analysis and Stereology |
| Subjects: | |
| Online Access: | https://www.ias-iss.org/ojs/IAS/article/view/1942 |
| _version_ | 1818401629174497280 |
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| author | Mathieu de Langlard Fabrice Lamadie Sophie Charton Johan Debayle |
| author_facet | Mathieu de Langlard Fabrice Lamadie Sophie Charton Johan Debayle |
| author_sort | Mathieu de Langlard |
| collection | DOAJ |
| description | In this paper a new approach to geometrically model and characterize 2D silhouette images of two-phase flows is proposed. The method consists of a 3D modeling of the particles population based on some morphological and interaction assumptions. It includes the following steps. First, the main analytical properties of the proposed model – which is an adaptation of the Matérn type II model – are assessed, namely the effect of the thinning procedures on the population’s fundamental properties. Then, orthogonal projections of the model realizations are made to obtain 2D modeled images. The inference technique we propose and implement to determine the model parameters is a two-step numerical procedure: after a first guess of the parameters is defined, an optimization procedure is achieved to find the local minimum closest to the constructed initial solution. The method was validated on synthetic images, which has highlighted the efficiency of the proposed calibration procedure. Finally, the model was used to analyze real, i.e., experimentally acquired, silhouette images of calibrated polymethyl methacrylate (PMMA) particles. The population properties are correctly evaluated, even when suspensions of concentrated monodispersed and bidispersed particles are considered, hence highlighting the method’s relevance to describe the typical configurations encountered in bubbly flows and emulsions. |
| first_indexed | 2024-12-14T07:55:30Z |
| format | Article |
| id | doaj.art-6bda48e4426d45d79e319ea42ad66e79 |
| institution | Directory Open Access Journal |
| issn | 1580-3139 1854-5165 |
| language | English |
| last_indexed | 2024-12-14T07:55:30Z |
| publishDate | 2018-12-01 |
| publisher | Slovenian Society for Stereology and Quantitative Image Analysis |
| record_format | Article |
| series | Image Analysis and Stereology |
| spelling | doaj.art-6bda48e4426d45d79e319ea42ad66e792022-12-21T23:10:32ZengSlovenian Society for Stereology and Quantitative Image AnalysisImage Analysis and Stereology1580-31391854-51652018-12-0137323324710.5566/ias.19421005A 3D STOCHASTIC MODEL FOR GEOMETRICAL CHARACTERIZATION OF PARTICLES IN TWO-PHASE FLOW APPLICATIONSMathieu de Langlard0Fabrice Lamadie1Sophie Charton2Johan Debayle3French Atomic Energy Commission, Research Department on Mining and Fuel Recycling Processes; Ecole Nationale Supérieure des Mines de Saint-Etienne, SPIN/LGF UMR CNRS 5307, Saint-Étienne, FranceFrench Atomic Energy Commission, Research Department on Mining and Fuel Recycling Processes;French Atomic Energy Commission, Research Department on Mining and Fuel Recycling Processes;Ecole Nationale Supérieure des Mines de Saint-Etienne, SPIN/LGF UMR CNRS 5307, Saint-Étienne, FranceIn this paper a new approach to geometrically model and characterize 2D silhouette images of two-phase flows is proposed. The method consists of a 3D modeling of the particles population based on some morphological and interaction assumptions. It includes the following steps. First, the main analytical properties of the proposed model – which is an adaptation of the Matérn type II model – are assessed, namely the effect of the thinning procedures on the population’s fundamental properties. Then, orthogonal projections of the model realizations are made to obtain 2D modeled images. The inference technique we propose and implement to determine the model parameters is a two-step numerical procedure: after a first guess of the parameters is defined, an optimization procedure is achieved to find the local minimum closest to the constructed initial solution. The method was validated on synthetic images, which has highlighted the efficiency of the proposed calibration procedure. Finally, the model was used to analyze real, i.e., experimentally acquired, silhouette images of calibrated polymethyl methacrylate (PMMA) particles. The population properties are correctly evaluated, even when suspensions of concentrated monodispersed and bidispersed particles are considered, hence highlighting the method’s relevance to describe the typical configurations encountered in bubbly flows and emulsions.https://www.ias-iss.org/ojs/IAS/article/view/19423D modelingfinite point processMatérn point processstochastic geometryparticles size distributiontwo-phase flow |
| spellingShingle | Mathieu de Langlard Fabrice Lamadie Sophie Charton Johan Debayle A 3D STOCHASTIC MODEL FOR GEOMETRICAL CHARACTERIZATION OF PARTICLES IN TWO-PHASE FLOW APPLICATIONS Image Analysis and Stereology 3D modeling finite point process Matérn point process stochastic geometry particles size distribution two-phase flow |
| title | A 3D STOCHASTIC MODEL FOR GEOMETRICAL CHARACTERIZATION OF PARTICLES IN TWO-PHASE FLOW APPLICATIONS |
| title_full | A 3D STOCHASTIC MODEL FOR GEOMETRICAL CHARACTERIZATION OF PARTICLES IN TWO-PHASE FLOW APPLICATIONS |
| title_fullStr | A 3D STOCHASTIC MODEL FOR GEOMETRICAL CHARACTERIZATION OF PARTICLES IN TWO-PHASE FLOW APPLICATIONS |
| title_full_unstemmed | A 3D STOCHASTIC MODEL FOR GEOMETRICAL CHARACTERIZATION OF PARTICLES IN TWO-PHASE FLOW APPLICATIONS |
| title_short | A 3D STOCHASTIC MODEL FOR GEOMETRICAL CHARACTERIZATION OF PARTICLES IN TWO-PHASE FLOW APPLICATIONS |
| title_sort | 3d stochastic model for geometrical characterization of particles in two phase flow applications |
| topic | 3D modeling finite point process Matérn point process stochastic geometry particles size distribution two-phase flow |
| url | https://www.ias-iss.org/ojs/IAS/article/view/1942 |
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