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Characterization of signals by the ridges of their wavelet transforms

Abstract : We present a couple of new algorithmic procedures for the detection of ridges in the modulus of the (continuous) wavelet transform of one-dimensional signals. These detection procedures are shown to be robust to additive white noise. We also derive and test a new reconstruction procedure. The latter uses only information from the restriction of the wavelet transform to a sample of points from the ridge. This provides with a very efficient way to code the information contained in the signal.
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René Carmona, Wen Liang Hwang, Bruno Torresani. Characterization of signals by the ridges of their wavelet transforms. IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 1997, ⟨10.1109/78.640725⟩. ⟨hal-01223134⟩

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