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A variational approach to reconstruct superresolution image corrupted by Gaussian and salt-and-pepper noise is studied. Since the salt-and-pepper noise is the outliers in the image, it is reasonable to regularize the data-fitting term by L1-norm. Full variational approach and two-phase approach for the data-fitting term are considered. To preserve the edges in the restored image, total variation norm...
This paper analyzes a two-dimensional piecewise affine map driven by a periodic perturbation, which is relevant to the second-order digital filters with sinusoidal response. By using symbolic dynamics method, a formula for an arbitrary iterate of the map is derived. When overflow occurs, the system is nonlinear. If the corresponding symbolic sequences are aperiodic, some orbits are computed and illustrated...
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