Many of the current methods for image denoising and restoration utilize total variation (TV) regularization to preserve its beneficial edge properties. However a particular caveat of TV regularization is the staircasing phenomenon in recovered images. A new blind restoration model based on a fourth order partial differential equation (PDE) is proposed for image restoration

which improved the Chan and Wongs TV model. The new method is to introduce fourth order norm into the energy function instead of TV norm

to overcoming the staircasing in reconstructions form TV regularization. The result of experiment shows that this restoration model is more visible.