Deconvolution of 3D Fluorescence Micrographs with Automatic Risk Minimization
S. Ramani, C. Vonesch, M. Unser
Proceedings of the Fifth IEEE International Symposium on Biomedical Imaging: From Nano to Macro (ISBI'08), Paris, French Republic, May 14-17, 2008, pp. 732–735.
We investigate the problem of automatic tuning of a deconvolution algorithm for three-dimensional (3D) fluorescence microscopy; specifically, the selection of the regularization parameter λ. For this, we consider a realistic noise model for data obtained from a CCD detector: Poisson photon-counting noise plus Gaussian read-out noise. Based on this model, we develop a new risk measure which unbiasedly estimates the original mean-squared-error of the deconvolved signal estimate. We then show how to use this risk estimate to optimize the regularization parameter for Tikhonov-type deconvolution algorithms. We present experimental results on simulated data and numerically demonstrate the validity of the proposed risk measure. We also present results for real 3D microscopy data.
@INPROCEEDINGS(http://bigwww.epfl.ch/publications/ramani0804.html, AUTHOR="Ramani, S. and Vonesch, C. and Unser, M.", TITLE="Deconvolution of {3D} Fluorescence Micrographs with Automatic Risk Minimization", BOOKTITLE="Proceedings of the Fifth {IEEE} International Symposium on Biomedical Imaging: {F}rom Nano to Macro ({ISBI'08})", YEAR="2008", editor="", volume="", series="", pages="732--735", address="Paris, French Republic", month="May 14-17,", organization="", publisher="", note="")