Adaptive phase-retrieval stochastic reconstruction with correlation functions: Three-dimensional images from two-dimensional cuts

Aleksei Cherkasov, Andrey Ananev, Marina Karsanina, Aleksey Khlyupin, and Kirill Gerke
Phys. Rev. E 104, 035304 – Published 9 September 2021

Abstract

Precise characterization of three-dimensional (3D) heterogeneous media is indispensable in finding the relationships between structure and macroscopic physical properties (permeability, conductivity, and others). The most widely used experimental methods (electronic and optical microscopy) provide high-resolution bidimensional images of the samples of interest. However, 3D material inner microstructure registration is needed to apply numerous modeling tools. Numerous research areas search for cheap and robust methods to obtain the full 3D information about the structure of the studied sample from its 2D cuts. In this work, we develop an adaptive phase-retrieval stochastic reconstruction algorithm that can create 3D replicas from 2D original images, APR. The APR is free of artifacts characteristic of previously proposed phase-retrieval techniques. While based on a two-point S2 correlation function, any correlation function or other morphological metrics can be accounted for during the reconstruction, thus, paving the way to the hybridization of different reconstruction techniques. In this work, we use two-point probability and surface-surface functions for optimization. To test APR, we performed reconstructions for three binary porous media samples of different genesis: sandstone, carbonate, and ceramic. Based on computed permeability and connectivity (C2 and L2 correlation functions), we have shown that the proposed technique in terms of accuracy is comparable to the classic simulated annealing-based reconstruction method but is computationally very effective. Our findings open the possibility of utilizing APR to produce fast or crude replicas further polished by other reconstruction techniques such as simulated annealing or process-based methods. Improving the quality of reconstructions based on phase retrieval by adding additional metrics into the reconstruction procedure is possible for future work.

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  • Received 27 May 2021
  • Accepted 19 August 2021

DOI:https://doi.org/10.1103/PhysRevE.104.035304

©2021 American Physical Society

Physics Subject Headings (PhySH)

Interdisciplinary Physics

Authors & Affiliations

Aleksei Cherkasov* and Andrey Ananev

  • Moscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, Moscow Region, 141701, Russian Federation

Marina Karsanina

  • Schmidt Institute of Physics of the Earth of Russian Academy of Sciences, Bolshaya Gruzinskaya str. 10/1, 123242, Moscow, Russia

Aleksey Khlyupin

  • Moscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, Moscow Region, 141701, Russian Federation

Kirill Gerke

  • Schmidt Institute of Physics of the Earth of Russian Academy of Sciences, Bolshaya Gruzinskaya str. 10/1, 123242, Moscow, Russia

  • *cherkasov.am@phystech.edu

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Vol. 104, Iss. 3 — September 2021

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