A method for processing a three-dimensional (3D) mesh model includes receiving a 3D mesh model. One or more regions including a potential sharp cusp are automatically detected. The automatically detected one or more regions are displayed to a user and an active region of the 3D mesh model is defined by the user. Sphere fitting and Laplacian smoothing are applied to the designated active region to remove a sharp cusp therefrom and to obtain a modified 3D mesh model.