Evaluating the morphological completeness of a training image

Mingliang Gao, Qizhi Teng, Xiaohai He, Junxi Feng, and Xue Han
Phys. Rev. E 95, 053306 – Published 18 May 2017

Abstract

Understanding the three-dimensional (3D) stochastic structure of a porous medium is helpful for studying its physical properties. A 3D stochastic structure can be reconstructed from a two-dimensional (2D) training image (TI) using mathematical modeling. In order to predict what specific morphology belonging to a TI can be reconstructed at the 3D orthogonal slices by the method of 3D reconstruction, this paper begins by introducing the concept of orthogonal chords. After analyzing the relationship among TI morphology, orthogonal chords, and the 3D morphology of orthogonal slices, a theory for evaluating the morphological completeness of a TI is proposed for the cases of three orthogonal slices and of two orthogonal slices. The proposed theory is evaluated using four TIs of porous media that represent typical but distinct morphological types. The significance of this theoretical evaluation lies in two aspects: It allows special morphologies, for which the attributes of a TI can be reconstructed at a special orthogonal slice of a 3D structure, to be located and quantified, and it can guide the selection of an appropriate reconstruction method for a special TI.

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  • Received 12 January 2017
  • Revised 28 April 2017

DOI:https://doi.org/10.1103/PhysRevE.95.053306

©2017 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Mingliang Gao1,2, Qizhi Teng1,*, Xiaohai He1, Junxi Feng1, and Xue Han1

  • 1College of Electronics and Information Engineering, Sichuan University, Chengdu 610065, China
  • 2Northwest University for Nationalities, College of Electrical Engineering, Lanzhou 730030, China

  • *Corresponding author: qzteng@scu.edu.cn

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Issue

Vol. 95, Iss. 5 — May 2017

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