Fast interscale wavelet denoising of Poisson-corrupted images
Fast interscale wavelet denoising of Poisson-corrupted images
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DOI：
10.1016/j.sigpro.2009.07.009
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发表时间：
2010-02-01
影响因子：
4.4
通讯作者：
Unser, Michael
中科院分区：
文献类型：
--
作者：
Luisier, Florian;Vonesch, Cedric;Unser, Michael
提出了一种基于泊松噪声的图像快速恢复算法。我们的方法是基于(1)泊松噪声的MSE无偏估计的最小化，(2)去噪过程的线性参数化，以及(3)在Haar DWT内跨尺度保留泊松统计量。MSE估计的最小化是在每个小波子带中独立执行的，但这相当于全局图像域MSE最小化。由于哈尔小波的正交性。这是与标准泊松去噪方法的一个重要区别，特别是那些依赖于数据的非线性预处理来稳定方差的方法。我们的非冗余尺度间小波阈值处理优于标准方差稳定方案，即使后者应用于平移不变设置（循环旋转）。它也达到了类似的质量，最先进的多尺度方法，是专门为泊松数据开发的。考虑到我们的方法的计算复杂度低了几个数量级，这是一个非常有竞争力的替代方案。所提出的方法在低信号强度和/或大数据集的背景下特别有希望。这是用生物样品的低计数荧光显微图去噪实验说明的。(C) 2009 Elsevier B.V.版权所有
We present a fast algorithm for image restoration in the presence of Poisson noise. Our approach is based on (1) the minimization of an unbiased estimate of the MSE for Poisson noise, (2) a linear parametrization of the denoising process and (3) the preservation of Poisson statistics across scales within the Haar DWT. The minimization of the MSE estimate is performed independently in each wavelet subband, but this is equivalent to a global image-domain MSE minimization. thanks to the orthogonality of Haar wavelets. This is an important difference with standard Poisson noise-removal methods, in particular those that rely on a non-linear preprocessing of the data to stabilize the variance.Our non-redundant interscale wavelet thresholding outperforms standard variance-stabilizing schemes, even when the latter are applied in a translation-invariant setting (cycle-spinning). It also achieves a quality similar to a state-of-the-art multiscale method that was specially developed for Poisson data. Considering that the computational complexity of our method is orders of magnitude lower, it is a very competitive alternative.The proposed approach is particularly promising in the context of low signal intensities and/or large data sets. This is illustrated experimentally with the denoising of low-count fluorescence micrographs of a biological sample. (C) 2009 Elsevier B.V. All rights reserved.