Wiener filtering of meshes

Abstract

This work investigates smoothing, fairing, or, more generally, filtering of mesh geometry. The approach transfers the ideas of optimal (Wiener) filtering to the setting of meshes. It extends fairing approaches that use only first order neighborhoods and allows to assume arbitrary local spectral properties of the mesh geometry. The definition of the local autocorrelation allows the design of filters for smoothing as well as for special effects in shape modeling.