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Evaluating the morphological completeness of a training image.

Mingliang Gao1,2, Qizhi Teng1, Xiaohai He1

  • 1College of Electronics and Information Engineering, Sichuan University, Chengdu 610065, China.

Physical Review. E
|June 17, 2017
PubMed
Summary
This summary is machine-generated.

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This study introduces orthogonal chords to evaluate training image (TI) completeness for 3D porous medium reconstruction. This helps predict which TI morphologies can be accurately reconstructed in 3D orthogonal slices.

Area of Science:

  • Geosciences
  • Materials Science
  • Computational Modeling

Background:

  • Understanding the 3D stochastic structure of porous media is crucial for characterizing their physical properties.
  • Reconstructing 3D structures from 2D training images (TI) is a common approach in mathematical modeling.
  • Predicting the reconstructability of TI morphologies in 3D orthogonal slices remains a challenge.

Purpose of the Study:

  • To develop a theory for evaluating the morphological completeness of a 2D training image (TI) for 3D stochastic reconstruction.
  • To predict which specific morphologies within a TI can be accurately reconstructed at 3D orthogonal slices.
  • To guide the selection of appropriate 3D reconstruction methods based on TI characteristics.

Main Methods:

  • Introduction of the concept of orthogonal chords.

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  • Analysis of the relationship between TI morphology, orthogonal chords, and the 3D morphology of orthogonal slices.
  • Development and evaluation of a theory for morphological completeness assessment using four distinct porous media TIs.

    • Main Results:

    • A theory for evaluating TI morphological completeness for 3D reconstruction using orthogonal chords is proposed.
    • The theory is validated on four diverse porous media TIs, demonstrating its applicability.
    • The study quantifies the ability to reconstruct specific TI morphologies at 3D orthogonal slices.

    Conclusions:

    • The proposed theory enables the location and quantification of TI morphologies suitable for 3D reconstruction.
    • This evaluation guides the selection of optimal reconstruction methods for specific TIs.
    • Accurate 3D stochastic structure reconstruction from 2D TIs is enhanced by understanding morphological completeness.