An improved image restoration approach using adaptive local constraint

How to restore images well with reducing ringing and noise remains difficult. An improved image restoration algorithm based on adaptive local constraint is proposed. We consider the statistical property that first order of derivatives of image obeying Gaussian distributions to control the noise. In order to suppress the artifacts around regions where gray values vary severely, spatial weighted matrix is adopted which can impose a local constraint on restoration and smoothing. According to experiments of simulation and real images, this approach can well restore edge regions well as well as reduce the noise in smooth area, which means that the approach does validly in suppressing ringing ripples and preserve more details.