PMID: 11336209May 5, 2001Paper

Fast maximum-likelihood image-restoration algorithms for three-dimensional fluorescence microscopy

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
J Markham, J A Conchello

Abstract

We have evaluated three constrained, iterative restoration algorithms to find a fast, reliable algorithm for maximum-likelihood estimation of fluorescence microscopic images. Two algorithms used a Gaussian approximation to Poisson statistics, with variances computed assuming Poisson noise for the images. The third method used Csiszar's information-divergence (I-divergence) discrepancy measure. Each method included a nonnegativity constraint and a penalty term for regularization; optimization was performed with a conjugate gradient method. Performance of the methods was analyzed with simulated as well as biological images and the results compared with those obtained with the expectation-maximization-maximum-likelihood (EM-ML) algorithm. The I-divergence-based algorithm converged fastest and produced images similar to those restored by EM-ML as measured by several metrics. For a noiseless simulated specimen, the number of iterations required for the EM-ML method to reach a given log-likelihood value was approximately the square of the number required for the I-divergence-based method to reach the same value.

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Citations

Jan 1, 2008·Journal of Biomedical Optics·José-Angel Conchello, Michael E Dresser
May 8, 2015·Scientific Reports·Boyoung Kim, Takeshi Naemura
Feb 13, 2009·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Geoffrey Fudenberg, Liam Paninski
Dec 28, 2017·BioMed Research International·Xuanxuan ZhangShouping Zhu
Jul 8, 2009·Optics Express·Dhruv Sud, Mary-Ann Mycek
Jan 7, 2010·Optics Express·Anish V AbrahamRaimund J Ober
Nov 22, 2005·Nature Methods·José-Angel Conchello, Jeff W Lichtman
Oct 17, 2014·Applied Optics·Dali LiuWeiqian Zhao
Feb 28, 2015·Microscopy Research and Technique·Rasmi Chelur KPartha Pratim Mondal
Sep 24, 2004·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Chrysanthe Preza, José-Angel Conchello
Jan 5, 2005·Microscopy Research and Technique·Shu-Wei HuangChau-Hwang Lee

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