关键词: 超分辨显微/
累积量/
解卷积
English Abstract
Deconvolution optimization in super-resolution optical fluctuation imaging based on cumulant standard deviation
Wang Xue-Hua,Chen Dan-Ni,
Yu Bin,
Niu Han-Ben
1.Key Laboratory of Optoelectronics Devices and Systems of Ministry of Education and Guangdong Province, Shenzhen Key Laboratory of Biomedicine Engineering, College of Optoelectronics Engineering, Shenzhen University, Shenzhen 518060, China
Fund Project:Project supported by the National Basic Research Program of China (Grant No. 2012CB825802), National Natural Science Foundation of China (Grant Nos. 61335001, 61178080, 61235012, 11004136), the Special Funds of the Major Scientific Instruments Equipment Development of China (Grant No. 2012YQ15009203), and the Science and Technology Planning Project of Shenzhen, China (Grant Nos. JCYJ20120613173049560, GJHS20120621155433884).Received Date:13 June 2016
Accepted Date:12 July 2016
Published Online:05 October 2016
Abstract:The super-resolution optical fluctuation imaging (SOFI) technique enhances image spatial resolution by evaluating the independent stochastic intensity fluctuations of emitters. In principle, it eliminates any noise uncorrelated temporally, and provides unlimited spatial resolution since the calculation of the nth-order cumulant followed by a deconvolution results in an image with n-fold resolution improvement in three dimensions. But in practice, due to limited data length, the statistical uncertainty of cumulants will affect the continuity and homogeneity of SOFI image, which results in the fact that the high order SOFI (typically over 3rd order) cannot improve spatial resolution significantly. Since the variance characterizes the statistical uncertainty of cumulant, we deduce its theoretical expression based on a single dataset. In traditional SOFI techniques, due to lack of statistical analysis of cumulant, there is no noise constraint condition of cumulant in the Lucy-Richardson deconvolution to prevent the algorithm from causing noise amplification. In this paper, based on the cumulant variance formula, we calculate the cumulant standard deviation in each pixel of SOFI image and introduce the results into the Lucy-Richardson algorithm as a DAMPAR to suppress the noise generation in such pixels. The simulation and experimental results show that under the same data length, the deconvolution optimization based on cumulant standard deviation significantly improves the uniformity and continuity of SOFI image. On the other hand, under the premise of identical image quality, this optimization technique can also greatly shorten the image frames to less than half the original, thus promoting the development of super-resolution imaging of living cells.
Keywords: super-resolution microscopy/
cumulant/
deconvolution
