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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: Franco Gori
  • Vol. 28, Iss. 8 — Aug. 1, 2011
  • pp: 1784–1795

Pseudodynamic systems approach based on a quadratic approximation of update equations for diffuse optical tomography

Samir Kumar Biswas, Rajan Kanhirodan, Ram Mohan Vasu, and Debasish Roy  »View Author Affiliations


JOSA A, Vol. 28, Issue 8, pp. 1784-1795 (2011)
http://dx.doi.org/10.1364/JOSAA.28.001784


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Abstract

We explore a pseudodynamic form of the quadratic parameter update equation for diffuse optical tomographic reconstruction from noisy data. A few explicit and implicit strategies for obtaining the parameter updates via a semianalytical integration of the pseudodynamic equations are proposed. Despite the ill-posedness of the inverse problem associated with diffuse optical tomography, adoption of the quadratic update scheme combined with the pseudotime integration appears not only to yield higher convergence, but also a muted sensitivity to the regularization parameters, which include the pseudotime step size for integration. These observations are validated through reconstructions with both numerically generated and experimentally acquired data.

© 2011 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(110.0110) Imaging systems : Imaging systems
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(170.6960) Medical optics and biotechnology : Tomography

ToC Category:
Medical Optics and Biotechnology

History
Original Manuscript: April 22, 2011
Revised Manuscript: June 12, 2011
Manuscript Accepted: June 15, 2011
Published: August 1, 2011

Virtual Issues
Vol. 6, Iss. 9 Virtual Journal for Biomedical Optics

Citation
Samir Kumar Biswas, Rajan Kanhirodan, Ram Mohan Vasu, and Debasish Roy, "Pseudodynamic systems approach based on a quadratic approximation of update equations for diffuse optical tomography," J. Opt. Soc. Am. A 28, 1784-1795 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-8-1784

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