Mathematical Interpolation and Correction of Three-Dimensional Modelling of High-Speed Railway

摘要

Three-dimensional (3D) modelling of high-speed railways, bad geology, and special geotechnical engineering inferences may involve problems, such as inaccurate geological data, hidden underground geological phenomena, and complex geological processes. In this study, surface geological boundaries, drainage, transportation networks, covers, lenses, and small geological units are established using topographic surveying and mapping data, geological data, and geological exploration data acquisition. The 3D model of the karst system combines geological and mathematical interpolation curved surface 3D model simulation analysis, trend surface fitting, and interpolation of the NURBS surface and correct analysis. The model is used to describe the properties of objects, including the geometry, topology, and attribute information. It can describe complex geological spatial information (geometric information and topological relationship) and the characteristics of various geological units and can satisfy the requirements for the expression and analysis of a complex geological body. Thus, 3D modelling is used as a reference for boundary representation and data in engineering geology.