A new blind restoration model based on PDE was proposed for image restoration

which improved the Chan and Wong's alternating minimization (AM) algorithm.The diffusion coefficient was not obtained from the gradient magnitude of the image directly

but the edge information restored from the gradient magnitude based on the model of the image.Avoided the error caused by the gradient magnitude of the denominator.Existence

uniqueness and stability of the model's viscosity solution were provided.The experimental results are given and compared with the Chan-Wong's model.The improvement by the new model is visible.