IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i18p2207-d631648.html
   My bibliography  Save this article

Repair of Geological Models Based on Multiple Material Marching Cubes

Author

Listed:
  • Benyu Li

    (School of Resources and Safety Engineering, Central South University, Changsha 410083, China
    Research Center of Digital Mine, Central South University, Changsha 410083, China)

  • Deyun Zhong

    (School of Resources and Safety Engineering, Central South University, Changsha 410083, China
    Research Center of Digital Mine, Central South University, Changsha 410083, China)

  • Liguan Wang

    (School of Resources and Safety Engineering, Central South University, Changsha 410083, China
    Research Center of Digital Mine, Central South University, Changsha 410083, China)

Abstract

In this paper, we present a multi-domain implicit surface reconstruction algorithm for geological modeling based on the labeling of voxel points. The improved algorithm sets a label for each voxel point to represent the type of its geological domain and then obtains all the voxel points in the void areas. After that, the improved algorithm modifies the labels of the voxel points in the void areas and finally reconstructs the geological models through the Multiple Material Marching Cubes (M3C) algorithm. The improved algorithm solves the problems of some unexpected overlaps and voids in geological modeling by setting and modifying the labels of the voxel points. Our key contribution is proposing a labeling processing method to repair the overlap and void defects generated in the geological modeling and realizing the improved M3C algorithm. The experimental results of some geological models show the performance of the improved method. Compared with the original method, the improved method can repair the overlap and void defects in geological modeling to ensure the raw structural adjacency relationships of the geological bodies.

Suggested Citation

  • Benyu Li & Deyun Zhong & Liguan Wang, 2021. "Repair of Geological Models Based on Multiple Material Marching Cubes," Mathematics, MDPI, vol. 9(18), pages 1-17, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:18:p:2207-:d:631648
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/18/2207/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/18/2207/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Xiao, Manyu & Zhang, Guohua & Breitkopf, Piotr & Villon, Pierre & Zhang, Weihong, 2018. "Extended Co-Kriging interpolation method based on multi-fidelity data," Applied Mathematics and Computation, Elsevier, vol. 323(C), pages 120-131.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tian, Ai-Qing & Wang, Xiao-Yang & Xu, Heying & Pan, Jeng-Shyang & Snášel, Václav & Lv, Hong-Xia, 2024. "Multi-objective optimization model for railway heavy-haul traffic: Addressing carbon emissions reduction and transport efficiency improvement," Energy, Elsevier, vol. 294(C).
    2. Dawei Zhan & Huanlai Xing, 2020. "Expected improvement for expensive optimization: a review," Journal of Global Optimization, Springer, vol. 78(3), pages 507-544, November.
    3. Chen, Xin & Ye, Xiaoling & Xiong, Xiong & Zhang, Yingchao & Li, Yuanlu, 2024. "Improving the accuracy of wind speed spatial interpolation: A pre-processing algorithm for wind speed dynamic time warping interpolation," Energy, Elsevier, vol. 295(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:9:y:2021:i:18:p:2207-:d:631648. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.