CUED Publications database

Improved bounds for subband-adaptive iterative shrinkage/thresholding algorithms.

Zhang, Y and Kingsbury, N (2013) Improved bounds for subband-adaptive iterative shrinkage/thresholding algorithms. IEEE Trans Image Process, 22. pp. 1373-1381.

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Abstract

This paper presents new methods for computing the step sizes of the subband-adaptive iterative shrinkage-thresholding algorithms proposed by Bayram & Selesnick and Vonesch & Unser. The method yields tighter wavelet-domain bounds of the system matrix, thus leading to improved convergence speeds. It is directly applicable to non-redundant wavelet bases, and we also adapt it for cases of redundant frames. It turns out that the simplest and most intuitive setting for the step sizes that ignores subband aliasing is often satisfactory in practice. We show that our methods can be used to advantage with reweighted least squares penalty functions as well as L1 penalties. We emphasize that the algorithms presented here are suitable for performing inverse filtering on very large datasets, including 3D data, since inversions are applied only to diagonal matrices and fast transforms are used to achieve all matrix-vector products.

Item Type: Article
Uncontrolled Keywords: Algorithms Humans Image Processing, Computer-Assisted Imaging, Three-Dimensional Microscopy, Fluorescence Photography Signal Processing, Computer-Assisted
Subjects: UNSPECIFIED
Divisions: Div F > Signal Processing and Communications
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:24
Last Modified: 08 Dec 2014 02:13
DOI: 10.1109/TIP.2012.2230010