Orebody Modeling Method Based on the Coons Surface Interpolation

This paper presents a surface modeling method for interpolating orebody models based on a set of cross-contour polylines (geological polylines interpreted from the raw geological sampling data) using the bi-Coons surface interpolation method. The method is particularly applicable to geological data...

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Main Authors: Zhaohao Wu, Lin Bi, Deyun Zhong, Ju Zhang, Qiwang Tang, Mingtao Jia
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Minerals
Subjects:
Online Access:https://www.mdpi.com/2075-163X/12/8/997
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author Zhaohao Wu
Lin Bi
Deyun Zhong
Ju Zhang
Qiwang Tang
Mingtao Jia
author_facet Zhaohao Wu
Lin Bi
Deyun Zhong
Ju Zhang
Qiwang Tang
Mingtao Jia
author_sort Zhaohao Wu
collection DOAJ
description This paper presents a surface modeling method for interpolating orebody models based on a set of cross-contour polylines (geological polylines interpreted from the raw geological sampling data) using the bi-Coons surface interpolation method. The method is particularly applicable to geological data with cross-contour polylines acquired during the geological and exploration processes. The innovation of this paper is that the proposed method can automatically divide the closed loops and automatically combine the sub-meshes. The method solves the problem that it is difficult to divide closed loops from the cross-contour polylines with complex shapes, and it greatly improves the efficiency of modeling based on complex cross-contour polylines. It consists of three stages: (1) Divide closed loops using approximate planes of contour polylines; each loop is viewed as a polygon combined with several polylines, that is the n-sided region. (2) After processing the formed n-sided regions, Coons surface interpolation is improved to complete the modeling of every single loop (3) Combine all sub-meshes to form a complete orebody model. The corresponding algorithm was implemented using the C++ programing language on 3D modeling software. Experimental results show that the proposed orebody modeling method is useful for efficiently recovering complex orebody models from a set of cross-contour polylines.
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spelling doaj.art-5c68e095981241a98ccd9d079c5da7bc2023-12-03T14:10:19ZengMDPI AGMinerals2075-163X2022-08-0112899710.3390/min12080997Orebody Modeling Method Based on the Coons Surface InterpolationZhaohao Wu0Lin Bi1Deyun Zhong2Ju Zhang3Qiwang Tang4Mingtao Jia5School of Resources and Safety Engineering, Central South University, Changsha 410083, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha 410083, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha 410083, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha 410083, ChinaChangsha Digital Mine Co., Ltd., Changsha 410221, ChinaSchool of Resources and Safety Engineering, Central South University, Changsha 410083, ChinaThis paper presents a surface modeling method for interpolating orebody models based on a set of cross-contour polylines (geological polylines interpreted from the raw geological sampling data) using the bi-Coons surface interpolation method. The method is particularly applicable to geological data with cross-contour polylines acquired during the geological and exploration processes. The innovation of this paper is that the proposed method can automatically divide the closed loops and automatically combine the sub-meshes. The method solves the problem that it is difficult to divide closed loops from the cross-contour polylines with complex shapes, and it greatly improves the efficiency of modeling based on complex cross-contour polylines. It consists of three stages: (1) Divide closed loops using approximate planes of contour polylines; each loop is viewed as a polygon combined with several polylines, that is the n-sided region. (2) After processing the formed n-sided regions, Coons surface interpolation is improved to complete the modeling of every single loop (3) Combine all sub-meshes to form a complete orebody model. The corresponding algorithm was implemented using the C++ programing language on 3D modeling software. Experimental results show that the proposed orebody modeling method is useful for efficiently recovering complex orebody models from a set of cross-contour polylines.https://www.mdpi.com/2075-163X/12/8/997geological modelingorebody modelingcoons surface interpolationcontour interpolationpolygon triangulation
spellingShingle Zhaohao Wu
Lin Bi
Deyun Zhong
Ju Zhang
Qiwang Tang
Mingtao Jia
Orebody Modeling Method Based on the Coons Surface Interpolation
Minerals
geological modeling
orebody modeling
coons surface interpolation
contour interpolation
polygon triangulation
title Orebody Modeling Method Based on the Coons Surface Interpolation
title_full Orebody Modeling Method Based on the Coons Surface Interpolation
title_fullStr Orebody Modeling Method Based on the Coons Surface Interpolation
title_full_unstemmed Orebody Modeling Method Based on the Coons Surface Interpolation
title_short Orebody Modeling Method Based on the Coons Surface Interpolation
title_sort orebody modeling method based on the coons surface interpolation
topic geological modeling
orebody modeling
coons surface interpolation
contour interpolation
polygon triangulation
url https://www.mdpi.com/2075-163X/12/8/997
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AT juzhang orebodymodelingmethodbasedonthecoonssurfaceinterpolation
AT qiwangtang orebodymodelingmethodbasedonthecoonssurfaceinterpolation
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