Abstract
We provide here some contributions for both the comprehension and theoretical modeling of the well known Empirical Mode Decomposition (EMD) method in 2D. This is achieved by reconsidering the so-called local mean which is formulated now with the morphological median operator. Doing this helps us derive curvature motion-like partial differential equations (PDEs) that mimic the 2D sifting process. In addition to the mathematical framework brought out herein, preliminary results show also that our proposed approach behaves like the 2D EMD and in a better way.
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Diop, E.H.S., Alexandre, R. (2015). Analysis of Intrinsic Mode Functions Based on Curvature Motion-Like PDEs. In: Boissonnat, JD., et al. Curves and Surfaces. Curves and Surfaces 2014. Lecture Notes in Computer Science(), vol 9213. Springer, Cham. https://doi.org/10.1007/978-3-319-22804-4_15
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DOI: https://doi.org/10.1007/978-3-319-22804-4_15
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