Signal and image denoising via scale-space atoms

In this paper a scale-space model for signal and image denoising is presented. The wavelet coefficients are split into overlapping atoms and their evolution law through scales is formally derived. This formalism accounts for both inter and intra-scale dependencies of wavelet coefficients and then it can be exploited for denoising. Experimental results show that the proposed algorithm outperforms the most effective wavelet based denoising techniques.