Iterative methods for total variation denoising
SIAM Journal on Scientific Computing - Special issue on iterative methods in numerical linear algebra; selected papers from the Colorado conference
Total Variation Wavelet Inpainting
Journal of Mathematical Imaging and Vision
A basis for efficient representation of the S-transform
Digital Signal Processing
Localization of the complex spectrum: the S transform
IEEE Transactions on Signal Processing
Power quality analysis using Discrete Orthogonal S-transform (DOST)
Digital Signal Processing
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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).