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math.FA2024★ 46 cited
Properties of BV-G structures + textures decomposition models. Application to road detection in satellite images
Jerome Gilles, Yves Meyer
In this paper we present some theoretical results about a structures-textures image decomposition model which was proposed by the second author. We prove a theorem which gives the…
math.FA2024★ 2.2k cited
Empirical wavelet transform
Jerome Gilles
Some recent methods, like the Empirical Mode Decomposition (EMD), propose to decompose a signal accordingly to its contained information. Even though its adaptability seems useful…