Images reconstruction method using SL0 algorithm for compressed sensing based on single layer wavelet transformation

The problem of image reconstruction based on compressed sensing using single layer wavelet as a sparse transformation is discussed in this paper. An image reconstruction method based on Smoothed L0 (SL0) algorithm is presented, in the view of increasing the quality of image reconstruction. The simulating results show that, comparing with primitive orthogonal matching pursuit (OMP) algorithm, this reconstruction method can significantly improve its performances, including image reconstruction quality and robustness, as well as executing speed.