Abstract: At first Bloomenthal's Polygonizer is used to get a coarse initial mesh. Then some new points are added to the initial mesh, either uniformly or according to surface curvature, and are connected with old vertices of the original model to form an intermediate mesh. After removing most of the original vertices and retiling the mesh, a subdivision scheme is applied to improve the over all mesh quality. Experiments show our method produces a mesh of close-to-equilateral triangles with sizes dependent on the local surface curvature.