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论文类型：期刊论文

发表时间：2012-07-01

发表刊物：GRAPHICAL MODELS

收录刊物：SCIE、EI

卷号：74

期号：4

页面范围：173-183

ISSN号：1524-0703

关键字：Empirical mode decomposition; Triangular meshes; Filtering; Feature-preserving smoothing

摘要：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 Dirichlet boundary conditions. Experimental results show that the proposed generalization of EMD on surfaces works well. We also demonstrate that the generalized EMD can be effectively utilized in filtering scalar functions defined over surfaces and surfaces themselves. (C) 2012 Elsevier Inc. All rights reserved.