We proposed a novel fast projection onto convex sets (POCS) algorithm using the seislet transform as the sparsity-promoting transform.
The seislet is shown to be the sparsest among well-known transforms.
The selection of FPOCS or FISTA depends on the noise level of the data.
The seislet based FPOCS can obtain better and faster seismic data recovery.
The local similarity is also used to measure the data recovery performance.