Accelerated Wavelet-Regularized Deconvolution for 3-D Fluorescence Microcopy
İ. Bayram, M. Guerquin-Kern, R. Terrés-Cristofani, M. Unser
Proceedings of the 2010 Seventeenth IEEE International Conference on Image Processing (ICIP'10), Hong Kong, People's Republic of China, September 26-29, 2010, pp. 581–584.
Modern deconvolution algorithms are often specified as minimization problems involving a non-quadratic regularization functional. When the latter is a wavelet-domain ℓ1-norm that favors sparse solutions, the problem can be solved by a simple iterative shrinkage/thresholding algorithm (ISTA). This approach provides state-of-the-art results in 2-D, but is harder to deploy in 3-D because of its slow convergence.
In this paper, we propose an acceleration scheme that turns wavelet-regularized deconvolution into a competitive solution for 3-D fluorescence microscopy. A significant speed-up is achieved though a synergistic combination of subband-adapted thresholds and sequential TwIST updates. We provide a theoretical justification of the procedure together with an experimental evaluation, including the application to real 3-D fluorescence data.
@INPROCEEDINGS(http://bigwww.epfl.ch/publications/bayram1002.html,
AUTHOR="Bayram, {\.{I}}. and Guerquin-Kern, M. and
Terr{\'{e}}s-Cristofani, R. and Unser, M.",
TITLE="Accelerated Wavelet-Regularized Deconvolution for \mbox{3-D}
Fluorescence Microcopy",
BOOKTITLE="Proceedings of the 2010 Seventeenth {IEEE} International
Conference on Image Processing ({ICIP'10})",
YEAR="2010",
editor="",
volume="",
series="",
pages="581--584",
address="Hong Kong, People's Republic of China",
month="September 26-29,",
organization="",
publisher="",
note="")