Study on Mathematical Interpolation and Correction of Three-dimensional Modeling of High-speed RailwayStudy on Mathematical Interpolation and Correction of Three-dimensional Modeling of High-speed RailwayStudy on Mathematical Interpolation and Correction

Abstract

High-speed rail bad geology and special geotechnical engineering geological 3 d model of the inferential consists of the inadequacies of geological data, underground geological phenomenon of invisibility and the complexity of geological process, etc. By topographic surveying and mapping data and geological data, the geological exploration data acquisition, established the surface geological boundaries, drainage, transportation network, cover, lens small geological unit, the three-dimensional model of karst system, combining geological and mathematical interpolation curved surface 3-d model simulation analysis, the TIN, Grid, trend surface fitting and interpolation of NURBS surface and correct analysis, concluded that describe information of objects, including geometry information, topology information and attribute information. It can describe complex geological spatial information (geometric information and topological relationship) and the characteristics of various geological unit information, meet the need of expression and analysis of complex geological body, for 3 d modeling is used for reference in engineering geological boundary representation and data reference.