| Citation: | CHENG Junjie，LIU Gang，WU Xuechao，et al. Three-dimensional implicit modeling method for complex ore bodies based on inter-layer contour interpolation and normal optimization[J]. Bulletin of Geological Science and Technology，2026，45（3）：1-13 doi: 10.19509/j.cnki.dzkq.tb20240764
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Three-dimensional ore body modeling is the core foundation for the construction of digital mines and intelligent mines. To address the key problem in implicit ore body modeling where sparse intervals between contour lines make it difficult to effectively extract geological constraints, a three-dimensional reconstruction method based on an Hermite radial basis function (HRBF) implicit modeling framework was proposed. This method constructed an ore body model by integrating inter-layer contour interpolation and normal optimization techniques.
First, the original contour data were homogenized based on a cubic spline closed curve fitting method, and contour mapping starting points were established through rectangular bounding box partitioning. The control point mapping relationships were dynamically adjusted according to the ratio of local contour length to total contour length, effectively solving the correspondence problem among control points of complex contour lines. To solve the problem that normal gradient constraints of ore body contours are difficult to extract, a baseline normal-driven local point selection strategy and a normal ambiguity elimination mechanism were developed, thereby improving the accuracy and topological consistency of boundary normal gradients. Finally, implicit surface visualization was achieved based on the marching cubes method, and a complex three-dimensional ore body model was constructed using actual ore body contour data, validating the effectiveness of the proposed method.
The research results can provide reliable technical support for accurate 3D reconstruction of complex ore bodies, resource reserve estimation, and intelligent mine construction.
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