The discrete orthonormal Stockwell transform for image restoration

This paper describes an automated image restoration algorithm. The technique is based on the Stockwell transform (ST) and its discrete version, the discrete orthonormal Stockwell transform (DOST). These mathematical transforms provide a multiresolution spatial-frequency representation of a signal or image. First, we give a brief introduction to the Stockwell transform, and the DOST. Then we describe a restoration method using the DOST based on the total variation (TV) minimization model. The results show that the DOST restoration outperforms the wavelet restoration by giving a higher Peak Signal to Noise Ratio (PSNR).