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A new edge-aware filter called the empirical Bayes filter (EBF) is presented. It is shown that the bilateral filter (BF), being a special case of the EBF, is an optimal filter in terms of Bayesian linear least square estimation. An adaptive EBF (AEBF), which is an adaptive combination of the BF output and the original image, is developed. Experimental results demonstrated that the AEBF outperforms the boosting algorithm in terms of improving the contrast of the bilateral filtered image.
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