In this work, based on the principle of blind deconvolution, and considering the inherent structure of the blur kernel, an automatic relevance determination (ARD) model is used to determine the prior model based on the gradient, instead of intensities of the blur kernel. The results show that the proposed ARD model on gradient can improve the kernel quality and thus produce better de-blurred image. Compared with the case of using the intensity for ARD, the proposed algorithm gives better blur kernel estimation and show robustness against non-Gaussian noise. As concrete examples, we demonstrate that the proposed method is applicable to image restoration on the scenario of camera shake, object motion and defocused blurring.
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