This article presents a method of improving the quality of a reconstructed 3D surface of a face or its parts using the inverse distance method (IDM). The proposed method eliminates undesired holes in the range image, which appear due to significant omissions of measure- ments from the face scanner. Application of the method allows to build a 3D surface with the desired resolution, without solving the problem of triangulation therefore reducing the computational cost. The results of the experiments show the efficiency and the quality of the reconstructions obtained using the proposed algorithm.