Abstract: Surface interpolation method was used to interpolate the actual formation discrete control point maped out by the user into smooth surfaces, so as to further obtain a smooth continuous three-dimensional geological model of the geological interface which can be used to express a variety of geological interface. This paper described several commonly used interpolation methods which are suitable for small-scale data and compared the interpolation results, and then introduced hierarchical I3-spline based interpolation method, which can be applied to large-scale scattered data interpolation. Software is based on Qt and OpenGI_ for development, has been very good in engineering geology applications.

Key words: Three-dimensional modeling, Discrete data, Levels of I3-spline, Surface interpolation, Qt, OpenGL