Empirical Mode Decomposition (EMD) is a powerful tool for analysing non-linear and non-
stationary signals, and has drawn a great deal of attentions in various areas. In this paper,
we generalize the classical EMD from Euclidean space to the setting of surfaces
represented as triangular meshes. Inspired by the EMD, we also propose a feature-
preserving smoothing method based on extremal envelopes. The core of our generalized
EMD on surfaces is an envelope computation method that solves a bi-harmonic field with …