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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 7 — Jul. 1, 2008
  • pp: 1772–1782

Accurate image reconstruction from few-view and limited-angle data in diffraction tomography

Samuel J. LaRoque, Emil Y. Sidky, and Xiaochuan Pan  »View Author Affiliations


JOSA A, Vol. 25, Issue 7, pp. 1772-1782 (2008)
http://dx.doi.org/10.1364/JOSAA.25.001772


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Abstract

We present a method for obtaining accurate image reconstruction from highly sparse data in diffraction tomography (DT). A practical need exists for reconstruction from few-view and limited-angle data, as this can greatly reduce required scan times in DT. Our method does this by minimizing the total variation (TV) of the estimated image, subject to the constraint that the Fourier transform of the estimated image matches the measured Fourier data samples. Using simulation studies, we show that the TV-minimization algorithm allows accurate reconstruction in a variety of few-view and limited-angle situations in DT. Accurate image reconstruction is obtained from far fewer data samples than are required by common algorithms such as the filtered-backpropagation algorithm. Overall our results indicate that the TV-minimization algorithm can be successfully applied to DT image reconstruction under a variety of scan configurations and data conditions of practical significance.

© 2008 Optical Society of America

OCIS Codes
(170.3880) Medical optics and biotechnology : Medical and biological imaging
(110.6955) Imaging systems : Tomographic imaging
(110.3010) Imaging systems : Image reconstruction techniques

ToC Category:
Imaging Systems

History
Original Manuscript: August 6, 2007
Revised Manuscript: April 8, 2008
Manuscript Accepted: May 4, 2008
Published: June 26, 2008

Virtual Issues
Vol. 3, Iss. 8 Virtual Journal for Biomedical Optics

Citation
Samuel J. LaRoque, Emil Y. Sidky, and Xiaochuan Pan, "Accurate image reconstruction from few-view and limited-angle data in diffraction tomography," J. Opt. Soc. Am. A 25, 1772-1782 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-7-1772

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