A fast thresholded landweber algorithm for general wavelet bases: Application to 3D deconvolution microscopy

Wavelet-domain l(1)-regularization is a promising approach to deconvolution. The corresponding variational problem can be solved using a "thresholded Landweber" (TL) algorithm. While this iterative procedure is simple to implement, it is known to converge slowly. In this paper, we give the principle of a modified algorithm that is substantially faster. The method is applicable to arbitrary wavelet representations, thus generalizing our previous work which was restricted to the orthonormal Shannon wavelet basis.

Published in:
2008 Ieee International Symposium On Biomedical Imaging: From Nano To Macro, Vols 1-4, 1351-1354
Presented at:
5th IEEE International Symposium on Biomedical Imaging - From Nano to Macro, Paris, FRANCE, May 14-17, 2008
Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa

 Record created 2010-11-30, last modified 2018-03-17

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