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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 31, Iss. 5 — May. 1, 2014
  • pp: 981–995

Few-view image reconstruction with fractional-order total variation

Yi Zhang, Weihua Zhang, Yinjie Lei, and Jiliu Zhou  »View Author Affiliations

JOSA A, Vol. 31, Issue 5, pp. 981-995 (2014)

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This work presents a novel computed tomography (CT) reconstruction method for the few-view problem based on fractional calculus. To overcome the disadvantages of the total variation minimization method, we propose a fractional-order total variation-based image reconstruction method in this paper. The presented model adopts fractional-order total variation instead of traditional total variation. Different from traditional total variation, fractional-order total variation is derived by considering more neighboring image voxels such that the corresponding weights can be adaptively determined by the model, thus suppressing the over-smoothing effect. The discretization scheme of the fractional-order model is also given. Numerical and clinical experiments demonstrate that our method achieves better performance than existing reconstruction methods, including filtered back projection (FBP), the total variation-based projections onto convex sets method (TV-POCS), and soft-threshold filtering (STH).

© 2014 Optical Society of America

OCIS Codes
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.7440) Medical optics and biotechnology : X-ray imaging
(110.6955) Imaging systems : Tomographic imaging

ToC Category:
Medical Optics and Biotechnology

Original Manuscript: December 23, 2013
Revised Manuscript: March 5, 2014
Manuscript Accepted: March 8, 2014
Published: April 9, 2014

Virtual Issues
Vol. 9, Iss. 7 Virtual Journal for Biomedical Optics

Yi Zhang, Weihua Zhang, Yinjie Lei, and Jiliu Zhou, "Few-view image reconstruction with fractional-order total variation," J. Opt. Soc. Am. A 31, 981-995 (2014)

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