The actual performance of the proposed algorithm is presented on several examples. In the first example, a locally graded mesh is generated over a planar complex domain (Fig. 10). The second example presents a uniform mesh over a torus (Fig. 11). In the last example, a mesh of a chair subjected to curvature based mesh size control is demonstrated (Fig. 12). The numbers of generated triangular and quadrilateral elements, in the initial, intermediate (after cleanup process), and final (after refinement process) mesh, together with the minimum and maximum dihedral angles in the final quadrilateral mesh are summarized in Table 1 for individual examples. Note that the generated initial meshes (subjected to optimization and refinement process to get the presented meshes) are rather coarse and therefore of worse quality having a negative impact on the quality of the final mesh.