The problem of image deblurring in the presence of salt and pepper noise is considered.
Standard image deconvolution algorithms, that are designed for Gaussian noise, do not
perform well in this case. Median type filtering is a common method for salt and pepper
noise removal. Deblurring an image that has been preprocessed by median-type filtering is
however difficult, due to the amplification (in the deconvolution stage) of median-induced
distortion. A unified variational approach to salt and pepper noise removal and image …

This work addresses image recovery problem in the presence of salt-and-pepper noise and
image blur. The salt-and-pepper noise reviewed as the impulsive noise, in this paper, is
modeled as a sparse signal because of its impulsiveness. To accurately reconstruct the
clean image and the blur kernel, the framelet domains are exploited to sparsely represent
the image and the blur kernel. From the reformulations conducted, a joint estimation is
devised to simultaneously perform the image recovery, the salt-and-pepper noise …