Orebody Modeling from Non-Parallel Cross Sections with Geometry Constraints

Zhong, Deyun; Wang, Liguan; Jia, Mingtao; Bi, Lin; Zhang, Ju

doi:10.3390/min9040229

Cited by 10 publications

(5 citation statements)

References 31 publications

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“…However, it also has the disadvantage of a large amount of calculation. Additionally, Zhong et al [39] proposed a method of reconstructing the 3D orebody by cross-section contour polylines, which allows for adding geometric constraints and can easily control the shape of the model, but many discontinuous parts may be generated after reconstruction if the data are relatively sparse. Moreover, Wu et al [40] proposed a 3D orebody modeling method based on the normal estimation of cross-contour polylines.…”

Section: Contour Interpolation Modelingmentioning

confidence: 99%

Orebody Modeling Method Based on the Coons Surface Interpolation

Zhong

et al. 2022

Minerals

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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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Section: Contour Interpolation Modelingmentioning

confidence: 99%

Orebody Modeling Method Based on the Coons Surface Interpolation

Zhong

et al. 2022

Minerals

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“…A globally consistent signed distance function was used in [18] to construct closed and smooth 3D surfaces from unorganized planar cross sections. Based on the idea of incremental sampling and potential field iterative correction, radial basis function and signed distance field based surface reconstruction is used in orebody modelling [19].…”

Section: Related Workmentioning

confidence: 99%

Composite Generalized Elliptic Curve-Based Surface Reconstruction

Chaudhry

Yang

et al. 2021

Computational Science – ICCS 2021

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Cross-section curves play an important role in many fields. Analytically representing cross-section curves can greatly reduce design variables and related storage costs and facilitate other applications. In this paper, we propose composite generalized elliptic curves to approximate open and closed cross-section curves, present their mathematical expressions, and derive the mathematical equations of surface reconstruction from composite generalized elliptic curves. The examples given in this paper demonstrate the effectiveness and high accuracy of the proposed method. Due to the analytical nature of composite generalized elliptic curves and the surfaces reconstructed from them, the proposed method can reduce design variables and storage requirements and facilitate other applications such as level of detail.

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“…For example, signed distance field functions [7], radial basis functions (RBFs) [8], geological rule interpolation constraints [9], linear interpolation methods [10], implicit surface reconstruction methods [11], etc., have been applied to orebody modeling [12]. Furthermore, specific implicit modeling methods are also developed based on different geological data, such as implicit orebody modeling methods based on borehole data [13], section data [14], point cloud data [15], etc. However, most mainstream mining modeling software still uses the traditional explicit modeling method, and the whole modeling process requires many manual interactions.…”

Section: Surface Modeling Of Geological Bodiesmentioning

confidence: 99%

Local Dynamic Updating Method of Orebody Model Based on Mesh Reconstruction and Mesh Deformation

Zhong

et al. 2021

Minerals

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In this paper, to update the orebody model based on the given interpreted geological information, we present a local dynamic updating method of the orebody model that allows the interactive construction of the constraint deformation conditions and the dynamic updating of the mesh model. The rules for constructing deformation constraints based on the control polylines are discussed. Because only part of the model is updated, the updated mesh is effective and the overall quality is satisfactory. Our main contribution is that we propose a local dynamic updating method for the orebody model based on mesh reconstruction and mesh deformation. This method can automatically update a given 3D orebody model based on a set of unordered geological interpretation lines. Moreover, we implement a deformation neighborhood region search method based on the specified ring radius and a local constrained mesh deformation algorithm for the orebody model. Finally, we test the method and show the model update results with real geological datasets, which proves that this method is effective for the local updating of orebody models.

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Orebody Modeling from Non-Parallel Cross Sections with Geometry Constraints

Cited by 10 publications

References 31 publications

Orebody Modeling Method Based on the Coons Surface Interpolation

Orebody Modeling Method Based on the Coons Surface Interpolation

Composite Generalized Elliptic Curve-Based Surface Reconstruction

Local Dynamic Updating Method of Orebody Model Based on Mesh Reconstruction and Mesh Deformation

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