论文标题

帕累托先验去除混合噪声

Mixed Noise Removal with Pareto Prior

论文作者

Liu, Zhou, Yu, Lei, Xia, Gui-Song, Sun, Hong

论文摘要

被添加白色高斯噪声(AWGN)和冲动噪声(IN)的混合物污染的图像是一个必不可少但具有挑战性的问题。冲动性干扰的存在不可避免地会影响噪声的分布,从而在很大程度上降低了传统的AWGN Denoisers的性能。现有方法是通过引入加权矩阵来补偿IN的效果的目标,但是,该矩阵缺乏适当的先验,因此很难准确估算。为了解决这个问题,我们利用帕累托分布作为加权矩阵的先验,基于该矩阵的先验分布,提出了精确且健壮的权重估计器以进行混合噪声。特别是,假定相对较小的像素被IN污染,其重量应具有较小的价值,然后进行惩罚。这种现象可以通过1型的帕累托分布正确地描述。因此,在帕累托分布中,我们在贝叶斯框架中提出了混合噪声去除的问题,在贝叶斯框架中,非本地自相似性先验是通过采用非局部低级别级别近似值而进一步利用的。与现有方法相比,所提出的方法可以适应,准确且适合不同级别的噪声来估计加权矩阵,从而可以提高deosing的性能。广泛使用的图像数据集的实验结果证明了我们提出的方法比最先进的方法的优越性。

Denoising images contaminated by the mixture of additive white Gaussian noise (AWGN) and impulse noise (IN) is an essential but challenging problem. The presence of impulsive disturbances inevitably affects the distribution of noises and thus largely degrades the performance of traditional AWGN denoisers. Existing methods target to compensate the effects of IN by introducing a weighting matrix, which, however, is lack of proper priori and thus hard to be accurately estimated. To address this problem, we exploit the Pareto distribution as the priori of the weighting matrix, based on which an accurate and robust weight estimator is proposed for mixed noise removal. Particularly, a relatively small portion of pixels are assumed to be contaminated with IN, which should have weights with small values and then be penalized out. This phenomenon can be properly described by the Pareto distribution of type 1. Therefore, armed with the Pareto distribution, we formulate the problem of mixed noise removal in the Bayesian framework, where nonlocal self-similarity priori is further exploited by adopting nonlocal low rank approximation. Compared to existing methods, the proposed method can estimate the weighting matrix adaptively, accurately, and robust for different level of noises, thus can boost the denoising performance. Experimental results on widely used image datasets demonstrate the superiority of our proposed method to the state-of-the-arts.

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