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

Cedric Vonesch, Michael Unser
2008 2008 5th IEEE International Symposium on Biomedical Imaging: From Nano to Macro  
Wavelet-domain 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
more » ... wavelet basis. Numerical experiments show that we can obtain up to a 10-fold speed-up with respect to the existing TL algorithm, while providing the same restoration quality. We also present an example with real data that demonstrates the feasibility of wavelet-domain regularization for 3D deconvolution microscopy.
doi:10.1109/isbi.2008.4541255 dblp:conf/isbi/VoneschU08 fatcat:jxeqdmr4pvcgfg6ndm42ipon5e