Application of regularized Richardson-Lucy algorithm for deconvolution of confocal microscopy images.

Application of regularized Richardson-Lucy algorithm for deconvolution of confocal microscopy images.
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DOI:
10.1111/j.1365-2818.2011.03486.x
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发表时间:
2011-08
影响因子:
2
通讯作者:
Peterson P
Peterson P
中科院分区:
工程技术4区
文献类型:
--
作者:
Laasmaa M;Vendelin M;Peterson P

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尽管共焦显微镜的离焦光贡献比宽视场显微镜小得多,但如果考虑到光学和数据采集效应,共焦图像仍然可以通过数学方法增强。为此,已经提出了几种去卷积算法。作为一个实际的解决方案,最大似然算法与正则化已被使用。然而,正则化参数的选择往往是未知的,虽然它对反褶积过程的结果有很大的影响。这项工作的目的是:找到反卷积参数的良好估计;开发一个开放源码软件包,允许测试不同的反卷积算法,并易于在实践中使用。在这里,Richardson-Lucy算法已经在开源软件包IOCBio Microscope中与总变差正则化一起实现。总变分正则化对反褶积过程的影响由一个参数决定。我们推导出一个公式来估计这个正则化参数自动从图像的算法的进展。为了评估该算法的有效性,合成图像的基础上,共聚焦图像的大鼠心肌细胞。通过对反褶积结果的分析,确定了在何种条件下我们对全变差正则化参数的估计得到了较好的结果。估计的总变差正则化参数可以在反褶积过程中被监测并用作停止准则。最佳正则化参数和图像的峰值信噪比之间的反比关系。最后,我们展示了使用开发的软件,通过去卷积图像的大鼠心肌细胞染色的线粒体和肌膜获得的共聚焦和宽视场显微镜。
Although confocal microscopes have considerably smaller contribution of out-of-focus light than widefield microscopes, the confocal images can still be enhanced mathematically if the optical and data acquisition effects are accounted for. For that, several deconvolution algorithms have been proposed. As a practical solution, maximum-likelihood algorithms with regularization have been used. However, the choice of regularization parameters is often unknown although it has considerable effect on the result of deconvolution process. The aims of this work were: to find good estimates of deconvolution parameters; and to develop an open source software package that would allow testing different deconvolution algorithms and that would be easy to use in practice. Here, Richardson–Lucy algorithm has been implemented together with the total variation regularization in an open source software package IOCBio Microscope. The influence of total variation regularization on deconvolution process is determined by one parameter. We derived a formula to estimate this regularization parameter automatically from the images as the algorithm progresses. To assess the effectiveness of this algorithm, synthetic images were composed on the basis of confocal images of rat cardiomyocytes. From the analysis of deconvolved results, we have determined under which conditions our estimation of total variation regularization parameter gives good results. The estimated total variation regularization parameter can be monitored during deconvolution process and used as a stopping criterion. An inverse relation between the optimal regularization parameter and the peak signal-to-noise ratio of an image is shown. Finally, we demonstrate the use of the developed software by deconvolving images of rat cardiomyocytes with stained mitochondria and sarcolemma obtained by confocal and widefield microscopes.
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