The formulation of SURE requires knowledge of Gaussian noise variance. We experimentally found a simple and direct link between the noise variance estimated by median absolute difference (MAD) method and the optimal one that leads to the best deconvolution performance in terms of mean squared error (MSE). Extensive experiments show that this optimal noise variance works satisfactorily for a wide range of natural images.
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Feng Xue, Jiaqi Liu, Gang Meng, Jing Yan, Min Zhao, "Image deconvolution under Poisson noise using SURE-LET approach," Proc. SPIE 9675, AOPC 2015: Image Processing and Analysis, 96750B (8 October 2015);