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Volume 32 Issue 2
Apr 2021
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Journal of Earth Science  > 2021  >  32(2): 455-467.
Weisheng Hou, Hengguang Liu, Tiancheng Zheng, Wenjie Shen, Fan Xiao. Hierarchical MPS-Based Three-Dimensional Geological Structure Reconstruction with Two-Dimensional Image(s). Journal of Earth Science, 2021, 32(2): 455-467. doi: 10.1007/s12583-021-1443-x
Citation: Weisheng Hou, Hengguang Liu, Tiancheng Zheng, Wenjie Shen, Fan Xiao. Hierarchical MPS-Based Three-Dimensional Geological Structure Reconstruction with Two-Dimensional Image(s). Journal of Earth Science, 2021, 32(2): 455-467. doi: 10.1007/s12583-021-1443-x
shu

Hierarchical MPS-Based Three-Dimensional Geological Structure Reconstruction with Two-Dimensional Image(s)

doi: 10.1007/s12583-021-1443-x
  • 1.

    School of Earth Sciences and Engineering, Sun Yat-Sen University, Guangzhou 510275, China

  • 2.

    Guangdong Provincial Key Lab of Geodynamics and Geohazards, Guangzhou 510275, China

  • 3.

    Southern Marine Science and Engineering Guangdong Laboratory, Zhuhai 519000, China

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  • Corresponding author: Hou Weisheng, houwsh@mail.sysu.edu.cn
  • Received Date: 02 Dec 2020
  • Accepted Date: 15 Feb 2021
  • Publish Date: 01 Apr 2021
    Abstract
  • Multiple-point statistics (MPS) is a useful approach to reconstruct three-dimensional models in the macroscopic or microscopic field. Extracting spatial features for three-dimensional reconstruction from two-dimensional training images (TIs), and characterizing non-stationary features with directional ductility are two key issues in MPS simulation. This study presents a step-wise MPS-based three-dimensional structures reconstruction algorithm with the sequential process and hierarchical strategy based on two-dimensional images. An extension method is proposed to construct three-dimensional TIs. With a sequential simulation process, an initial guess at the coarsest scale is simulated, in which hierarchical strategy is used according to the characteristics of TIs. To obtain a more refined realization, an expectation-maximization like iterative process with global optimization is implemented. A concrete example of chondrite micro-structure simulation, in which one scanning electron microscopy (SEM) image of the Heyetang m eteorite is used as TI, shows that the presented algorithm can simulate complex non-stationary structures.

     

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