Heterogeneous object modeling using the radial basis functions

Abstract

This paper presented an effective method for the three-dimensional (3D) heterogeneous objects modeling. First, an implicit solid representing the smooth 3D scalar field for the material property distribution was reconstructed by interpolating the geometric positions of control points and property values defined at those points using an implicit interpolation algorithm based on the thinplate radial basis function (RBF). After generating the implicit solid representing the smooth 3D scalar field for the material property distribution, a heterogeneous object model with accurately controlled material property distribution was designed using the generated implicit solid. A variety of experimental results showed that the proposed heterogeneous objects modeling method has the potential benefits for accurately controlling the spatial material property distribution within an arbitrarily-shaped geometrical model.