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Orebody Modeling Method Based on the Normal Estimation of Cross-Contour Polylines

Author

Listed:
  • Zhaohao Wu

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

  • Deyun Zhong

    (School of Resources and Safety Engineering, Central South University, Changsha 410083, China
    Digital Mine Research Center, Central South University, Changsha 410083, China
    Changsha Digital Mine Co., Ltd., Changsha 410221, China)

  • Zhaopeng Li

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

  • Liguan Wang

    (School of Resources and Safety Engineering, Central South University, Changsha 410083, China
    Digital Mine Research Center, Central South University, Changsha 410083, China
    Changsha Digital Mine Co., Ltd., Changsha 410221, China)

  • Lin Bi

    (School of Resources and Safety Engineering, Central South University, Changsha 410083, China
    Digital Mine Research Center, Central South University, Changsha 410083, China
    Changsha Digital Mine Co., Ltd., Changsha 410221, China)

Abstract

The normal estimation of cross-contour polylines largely determines the implicit orebody modeling result. However, traditional methods cannot estimate normals effectively due to the complex topological adjacency relationship of the cross-contour polylines manually interpreted in the process of exploration and production. In this work, we present an orebody implicit modeling method based on the normal estimation of cross-contour polylines. The improved method consists of three stages: (1) estimating the normals of cross-contour polylines by using the least square plane fitting method based on principal component analysis; (2) reorienting the normal directions by using the method based on the normal propagation; (3) using an implicit function to construct an orebody model. The innovation of this method is that it can automatically estimate the normals of the cross-contour polylines and reorient normal directions without manual intervention. Experimental results show that the proposed method has the advantages of a small amount of calculation, high efficiency and strong reliability. Moreover, this normal estimation method is useful to improve the automation of implicit orebody modeling.

Suggested Citation

  • Zhaohao Wu & Deyun Zhong & Zhaopeng Li & Liguan Wang & Lin Bi, 2022. "Orebody Modeling Method Based on the Normal Estimation of Cross-Contour Polylines," Mathematics, MDPI, vol. 10(3), pages 1-15, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:473-:d:740299
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