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 design multiresolution 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 multiresolution 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. Index Terms Boundary Representations, Surface Representations, Non-manifold, Fairing, Geometric Modeling, Triangle Decimation, Multiresolution Models.