# Introduction

In our work we have presented an approach for surface reconstruction (more precisely, blending parts of a real geometric object represented by volume data) by employing a space mapping technique based on using RBFs. The surface of a given model, in particular tooth shape is fitted by a shape transformation to extrapolate the remaining surface of a patient's tooth with occurring damage such as a тАЬdrill hole.тАЭ The genetic algorithm minimizes the error of the approximation by optimizing a set of control points that determine the coefficients for spline functions, which in turn define a space transformation. The fitness function to be minimized consists of two components. First one is the error between the blended surface of an object and the surface of the object to be blended in some predefined points. The second is a component that is responsible for the bending energy being minimized.# Examples

**Medical application** :
(a) Tooth to be treated. (b) Area reconstructed by RBFs; All interior boundary and points of central part were processed; (c) Result of reconstruction without optimization; (d) Result of
reconstruction with optimization.