SURE-LET image deconvolution using multiple Wiener filters

We propose a novel deconvolution algorithm based on the minimization of Stein´s unbiased risk estimate (SURE). We linearly parametrize the deconvolution process by using multiple Wiener filterings as elementary functions, followed by undecimated Haar-wavelet thresholding. The key contributions of our approach are: 1) the linear combination of several Wiener filters with different (but fixed) regularization parameters, which avoids the manual adjustment of a single nonlinear parameter; 2) the use of linear parameterization, which makes the SURE minimization finally boil down to solving a linear system of equations, leading to a very fast and exact optimization of the whole deconvolution process. The results obtained on standard test images show that our algorithm favorably compares with the other state-of-the-art deconvolution methods in both speed and quality.