Compressed sensing image processing based on nonsubsampled contourlet transform

A compressed sensing algorithm based on nonsubsampled contourlet transform (NSCT) is proposed, NSCT can provide better sparsity than wavelet transform does in image transform. low-frequency coefficients of the image are preserved, only high-frequency coefficients are measured. In the reconstruction, OMP algorithm is used to recover high-frequency coefficients and the image is reconstructed by inverse nonsubsampled contourlet transform. Compared with wavelet compressed sensing algorithms, simulation results demonstrate that the quality of reconstructed image can be greatly improved under the same measurement number.