Iterative image reconstruction using non-local means with total variation from insufficient projection data

Article type: Research Article

Authors: Ertas, Metin^a | Yildirim, Isa^{b; c; d; *} | Kamasak, Mustafa^e | Akan, Aydin^a

Affiliations: [a] Department of Electrical and Electronics Engineering, Istanbul University, Istanbul, Turkey | [b] Department of Electrical and Electronics Engineering, Abdullah Gul University, Kayseri, Turkey | [c] College of Engineering, University of Illinois, Chicago, USA | [d] Department of Electrical and Electronics Engineering, Istanbul Technical University, Istanbul, Turkey | [e] Department of Computer Engineering, Istanbul Technical University, Istanbul, Turkey

Correspondence: [*] Corresponding author: Isa Yildirim, Department of Electrical and Electronics Engineering, Abdullah Gul University, 38080 Kayseri, Turkey. Tel.: +90 352 224 8800; Fax: +90 352 338 8828; E-mail: isa.yildirim@agu.edu.tr.

Abstract: In this work, algebraic reconstruction technique (ART) is extended by using non-local means (NLM) and total variation (TV) for reduction of artifacts that are due to insufficient projection data. TV and NLM algorithms use different image models and their application in tandem becomes a powerful denoising method that reduces erroneous variations in the image while preserving edges and details. Simulations were performed on a widely used 2D Shepp-Logan phantom to demonstrate performance of the introduced method (ART + TV) NLM and compare it to TV based ART (ART + TV) and ART. The results indicate that (ART + TV) NLM achieves better reconstructions compared to (ART + TV) and ART.

Keywords: Limited-angle, tomography, total variation, non-local means, insufficient projection

DOI: 10.3233/XST-160529

Journal: Journal of X-Ray Science and Technology, vol. 24, no. 1, pp. 1-8, 2016