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Bootstrap Empirical Mode Decomposition with Application to CIELAB Color Images

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posted on 2021-09-13, 18:29 authored by Kai-Yew LumKai-Yew Lum
This paper proposes an alternative optimization-based EMD based on the notions of: 1. local mean points that impose mode symmetry via a Tikhonov regularized least-square (RLS) problem, and 2. efficient bootstrap sifting that guarantees asymptotic convergence of the mean envelope to the local mean points, regardless of regularization. Mathematical proof of convergence and a straightforward extension to the 2D-multivariate setting and CIELAB color image sare presented. Performance is demonstrated with a univariate signal and two images. Spectral analysis confirms coordinated feature extraction among image components, and separation of spatial spectra among the intrinsic mode functions.


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National Chi Nan Univesity

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