Multiresolution Methods for Nonmanifold Models

The concept of fairing applied to triangular meshes with irregular connectivity has become more and more important. Previous contributions proposed a variety of fairing operators for manifolds and applied them to the design of multi-resolution representations and editing tools for meshes. In this paper, we generalize these powerful techniques to handle non-manifold models. We propose a method to construct fairing operators for non-manifolds which is based on standard operators for the manifold setting. Furthermore, we describe novel approaches to guarantee volume preservation. We introduce various multi-resolution techniques that allow us to represent, smooth and edit non-manifold models efficiently. Finally, we discuss a semi-automatic feature preservation strategy to retain important model information during the fairing process.