The capabilities of the methodology are presented on two examples. The first example is a concrete dam with a spillway. The original control grid depicted in Figure 4a contains 400 nodes and 796 triangles. The generated graded surface mesh artificially refined at a point and along a plane consisting of 23705 nodes and 272276 triangles is shown in Figure 4b. The second example demonstrates the application of the approach to the model of a mechanical part1described by STL format. The original control STL mesh containing 488 nodes and 996 triangles is visualized in Figure 5a. The generated surface mesh with curvature based element size control with 9825 nodes and 98399 triangles is presented in Figure 5b.