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Accelerated Wavelet-Regularized Deconvolution for 3-D Fluorescence Microcopy

İ. Bayram, M. Guerquin-Kern, R. Terrés-Cristofani, M. Unser

Proceedings of the 2010 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.

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 {IEEE} International Conference on
        Image Processing ({ICIP'10})",
address="Hong Kong, People's Republic of China",
month="September 26-29,",

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