Fairing of Non-Manifold Models

processing, has been generalized to meshes with arbitrary connectivity. Initially
fairing operators were used to remove high frequency noise from meshes, and were
subsequently applied to the construction of multiresolution representations of
meshes and multiresolution editing tools.
Researchers concentrated on the construction of operators for two-manifold
surfaces, since the concepts of Laplacian and curvature are well defined everywhere
on these surfaces. In this talk I'll present a framework that allows to smooth
non-manifold surfaces. The basic components of the framework comprise a lightweight
boundary representation of models, and a fairing strategy that extends any manifold
fairing operator to smooth non-manifold models. Finally, I'll present a local
volume preservation strategy and a set of point and line interpolation constraints.