The main goal of this paper is to propose a method for the 3D morphological characterization of compact aggregates using 2D image analysis. The problem at hand is, for example, the 3D morphometric characterization of latex nanoparticle aggregates. The only available information is 2D opaque projection images of these aggregates, one projection per aggregate. In this context, a method to estimate the 3D morphological characteristics of an aggregate such as the Volume, Surface Area or Solidity from a single opaque projection is proposed. This method is based on a stochastic geometric model called GRAPE (Geometrical Random Aggregation of Particles Emulation) and requires some strong assumptions, and in particular prior estimation of the volume. The model is based on an iterative packing of spheres of identical radii. For each iteration, a fitting function allows to reach objectives corresponding to the desired 2D properties (Area, Perimeter, Aspect Ratio, ...). In order to implement the method, an optimization process must be performed on two parameters of the model: the radius of the primary particles r and an overlapping distance di. As a validation, this process will be applied to synthetic aggregates, themselves generated from the GRAPE model, then to a population of 104 synthetic aggregates, and finally to 3D printed aggregates whose 3D morphological properties are known thanks to an STL file, and whose projected images have been produced using a morphogranulometer. The results obtained show an excellent approximation of 2D properties by the GRAPE model, and very good results for 3D properties, with less than 5% error on average and less than 2% error in most case.
Authors
- Authors Organism
- École des Mines de Saint-Étienne
- Bibliographic Reference
- Léo Théodon, Carole Coufort-Saudejaud, Johan Debayle. GRAPE : A stochastic geometrical 3d model for aggregates of particles with tunable 2d morphological projected properties. Image Analysis & Stereology, 2023, 42, pp.1 à 16. ⟨10.5566/ias.2875⟩. ⟨emse-04052792⟩
- DOI
- https://doi.org/10.5566/ias.2875
- HAL Collection
- ['Ecole Nationale Supérieure des Mines de Saint-Etienne', 'Institut Mines Télécom', 'Université Paul Sabatier - Toulouse III', 'CNRS - Centre national de la recherche scientifique', 'Réseau de recherche en Théorie des Systèmes Distribués, Modélisation, Analyse et Contrôle des Systèmes', 'composantes instituts telecom', 'Laboratoire de Génie Chimique', 'Toulouse - INP', 'Université Toulouse 3', 'Université Toulouse III / Toulouse INP', 'AILys']
- HAL Identifier
- 4052801
- Institution
- ['Université Toulouse III - Paul Sabatier', 'Institut National Polytechnique (Toulouse)']
- Laboratory
- ['Centre Sciences des Processus Industriels et Naturels', 'Laboratoire Georges Friedel', 'Laboratoire de Génie Chimique']
- Published in
- France
Table of Contents
- INTRODUCTION 2
- Nomenclature 3
- GEOMETRICAL PROPERTIES 4
- 2D PROPERTIES 4
- Projected area and perimeter 4
- Feret diameters 4
- Aspect ratio 5
- Fractal dimension 5
- 3D PROPERTIES 5
- Volume 5
- Convex volume 5
- Solidity 5
- Surface area 5
- Equivalent diameter 5
- Principal axis length 5
- THE GRAPE MODEL 5
- MODELS DESCRIPTION 5
- Parameters Definition 5
- DESCRIPTION OF THE ALGORITHM 5
- OPTIMIZATION VALIDATION 6
- DEFINITION OF THE COST FUNCTION 7
- VALIDATION PROCESS 7
- Validation on a single aggregate 7
- Parameters 7
- Validation on a population of aggregates 8
- Parameters 9
- RESULTS 10
- Parameters 11
- Postprocessing 11
- DISCUSSION 11
- ON THE GRAPE MODEL 12
- ON THE NUMBER OF CONFIGURATIONS 13
- ON THE VOLUME ESTIMATE 13
- EXTENSION 14
- CONCLUSION 14
- ACKNOWLEDGMENT 14
- REFERENCES 14
