A New Corner cutting Scheme with tension and Handle-Face Reconstruction

A recently developed topological mesh modeling approach allows users to change topology of orientable 2-manifold meshes and to create unusual faces. Handle-faces are one of such faces that are commonly created during topology changes. This paper shows that vertex insertion and corner cutting subdivision schemes can effectively be used to reconstruct handle-faces. These reconstructions effectively show the structure of these unusual faces. The paper has three contributions. First, we develop a new corner cutting scheme, which provides a tension parameter to control the shape of subdivided surface. Second, we develop careful and efficient remeshing algorithms for our corner cutting scheme that use only the basic operations provided by our topological mesh modeling approach. This implementation ensures that our new corner cutting scheme preserves topological robustness. Finally, a comparative study shows that the corner cutting schemes create better handles and holes than the well-known Catmull-Clark scheme.