A Reweighted Total Variation Algorithm with the Alternating Direction Method for Computed Tomography
Open Access
- 1 January 2019
- journal article
- Published by Scientific Research Publishing, Inc. in Advances in Computed Tomography
- Vol. 08 (01), 1-9
- https://doi.org/10.4236/act.2019.81001
Abstract
A variety of alternating direction methods have been proposed for solving a class of optimization problems. The applications in computed tomography (CT) perform well in image reconstruction. The reweighted schemes were applied in l1-norm and total variation minimization for signal and image recovery to improve the convergence of algorithms. In this paper, we present a reweighted total variation algorithm using the alternating direction method (ADM) for image reconstruction in CT. The numerical experiments for ADM demonstrate that adding reweighted strategy reduces the computation time effectively and improves the quality of reconstructed images as well.Keywords
This publication has 1 reference indexed in Scilit:
- Principles of Computerized Tomographic ImagingPublished by Society for Industrial & Applied Mathematics (SIAM) ,2001