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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 30, Iss. 8 — Aug. 1, 2013
  • pp: 1516–1523

Nonquadratic penalization improves near-infrared diffuse optical tomography

Ravi Prasad K. Jagannath and Phaneendra K. Yalavarthy  »View Author Affiliations

JOSA A, Vol. 30, Issue 8, pp. 1516-1523 (2013)

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A new approach that can easily incorporate any generic penalty function into the diffuse optical tomographic image reconstruction is introduced to show the utility of nonquadratic penalty functions. The penalty functions that were used include quadratic (2), absolute (1), Cauchy, and Geman–McClure. The regularization parameter in each of these cases was obtained automatically by using the generalized cross-validation method. The reconstruction results were systematically compared with each other via utilization of quantitative metrics, such as relative error and Pearson correlation. The reconstruction results indicate that, while the quadratic penalty may be able to provide better separation between two closely spaced targets, its contrast recovery capability is limited, and the sparseness promoting penalties, such as 1, Cauchy, and Geman–McClure have better utility in reconstructing high-contrast and complex-shaped targets, with the Geman–McClure penalty being the most optimal one.

© 2013 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems
(110.6960) Imaging systems : Tomography
(170.0170) Medical optics and biotechnology : Medical optics and biotechnology
(110.0113) Imaging systems : Imaging through turbid media
(110.6955) Imaging systems : Tomographic imaging

ToC Category:
Medical Optics and Biotechnology

Original Manuscript: March 20, 2013
Revised Manuscript: June 8, 2013
Manuscript Accepted: June 10, 2013
Published: July 15, 2013

Virtual Issues
Vol. 8, Iss. 9 Virtual Journal for Biomedical Optics

Ravi Prasad K. Jagannath and Phaneendra K. Yalavarthy, "Nonquadratic penalization improves near-infrared diffuse optical tomography," J. Opt. Soc. Am. A 30, 1516-1523 (2013)

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