A Wavelet based coding scheme via atomic approximation and adaptive sampling of the lowest frequency band

In this paper¹ a new wavelet based coding scheme exploiting Wavelet Atoms and a Non Uniform Sampling (WANUS) of the lowest frequency band is presented. The encoder only sends the lowest frequency band (LFB) to the decoder. This latter exploits atomic approximation for predicting wavelet details band from LFB. Since this strategy only works in an undecimated wavelet domain, we prove here that an effective adaptive downsampling of the LFB can be reached using the minimax technique. The proposed scheme outperforms available coders in terms of rate-distortion results requiring a moderate computational effort.