Blind image restoration based on normalized hyper laplacian prior term

An blind image restoration method for degraded motion images is proposed based on the variational method.As image gradient is coincident with the probability distribution of heavy-tailed characteristics in a natural scene,the method uses normalized hyper Laplacian prior term as a smooth term of variational energy equation to converge the solution of the equation exactly in image debluring.To reduce the complexity of equation solution,a fast method called split method is introduced.A multi-scale framework is established to perform the deblur procedure from large scale to small scale until the blur kernel is gotten.Finally,the estimated kernel function and clear image are used as the initial value for the next scale.Using the estimated kernel,the final clear image can be gotten by the total variation method.As compared with traditional image restoration methods,the proposed method can obtain the exact solution by direction solution of the energy equation conveniently without predetermining and selecting the image gradients.Experiments demonstrate the feasibility and validity of the proposed method.