基于Delaunay剖分的地质曲面分割方法及实现

Surface Cutting in Geological Modeling Based on Delaunay Triangulation

在采用Delaunay三角剖分进行地质体表面建模的基础上,研究地层曲面之间的相交关系,提出并实现一种曲面分割方法,对待分割曲面及其交线进行预处理,并采用三角形蔓延的迭代方法进行分割,该方法能够保持分割后的子曲面与原曲面几何和拓扑上的一致性,为后续的缝合和四面体剖分工作奠定基础。实验证明该方法能够不受曲面和交线几何形状的干扰,有效完成曲面分割。

This paper focuses on the research of different types of geological surfaces intersection based on the Delaunay Triangulation of geological surfaces, introduces and realizes a surface cutting method. At first, this paper preprocesses the surfaces which need to be cut and the intersecting lines of them. Then, this paper cuts the surfaces by the iterate method of triangulation extension. This method can keep the consistency of geometry and topology characters between the original surface and the subsurface after cutting, which can facilitate the following work. This method is tested to be efficient to the surface cutting without the disturbance of the surfaces’ shape and the intersecting lines’ geometry figure.