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International Journal of Biomedical Imaging
Volume 2010, Article ID 934847, 9 pages
http://dx.doi.org/10.1155/2010/934847
Research Article

SART-Type Image Reconstruction from a Limited Number of Projections with the Sparsity Constraint

SBES Division and ICTAS Center for Biomedical Imaging, VT-WFU School of Biomedical Engineering and Sciences, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA

Received 31 December 2009; Accepted 10 February 2010

Academic Editor: Yibin Zheng

Copyright © 2010 Hengyong Yu and Ge Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Based on the recent mathematical findings on solving the linear inverse problems with sparsity constraints by Daubechiesx et al., here we adapt a simultaneous algebraic reconstruction technique (SART) for image reconstruction from a limited number of projections subject to a sparsity constraint in terms of an invertible compression transform. The algorithm is implemented with an exemplary Haar wavelet transform and tested with a modified Shepp-Logan phantom. Our preliminary results demonstrate that the sparsity constraint helps effectively improve the quality of reconstructed images and reduce the number of necessary projections.