An adaptive subdivision scheme on composite subdivision meshes

Abstract

One of the commonly used techniques in hole filling and mesh joining is the construction of connecting meshes between meshes to generate a new mesh model consisting of the composite subdivision meshes. One problem in subdivision meshes is how to further subdivide this reconstructed mesh model or these composite subdivision meshes to enhance the quality of the surface as needed. In this paper, we propose a new local subdivision method of the composite subdivision meshes. Our method does not alter the surrounding mesh areas, and guarantees that the discrete continuity between these meshes is preserved without the occurrence of cracks or holes between them. We specifically address a local subdivision scheme on a connecting mesh (the mesh area covering hole or crack) suitable for refining only the connecting mesh or the selected mesh areas. Our method can produce a smooth mesh model with a natural shape, and allows approximation or interpolation of surfaces. We implement our method for various triangular meshes and present our experimental results.