Evolution Nonlinear Diffusion‐Convection PDE Models for Spectrogram Enhancement
Benjamín Dugnol, C. Fernández, Gonzalo Galiano, Julián Velasco · AIP conference proceedings · 2008
In previous works we studied the application of PDE‐based image processing techniques applied to the spectrogram of audio signals in order to improve the readability of the signal. In particular we considered the implementation of the nonlinear diffusive model proposed by Álvarez, Lions and Morel [1](ALM) combined with a convective term inspired by the differential reassignment proposed by Chassandre‐Mottin, Daubechies, Auger and Flandrin [2]–[3]. In this work we consider the possibility of replacing the diffusive model of ALM by diffusive terms in divergence form. In particular we implement finite element approximations of nonlinear diffusive terms studied by Chen, Levine, Rao [4] and Antontsev, Shmarev [5]–[8] with a convective term.