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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. 29, Iss. 3 — Mar. 1, 2012
  • pp: 321–330

Information loss and reconstruction in diffuse fluorescence tomography

Petra Bonfert-Taylor, Frederic Leblond, Robert W. Holt, Kenneth Tichauer, Brian W. Pogue, and Edward C. Taylor  »View Author Affiliations


JOSA A, Vol. 29, Issue 3, pp. 321-330 (2012)
http://dx.doi.org/10.1364/JOSAA.29.000321


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Abstract

This paper is a theoretical exploration of spatial resolution in diffuse fluorescence tomography. It is demonstrated that, given a fixed imaging geometry, one cannot—relative to standard techniques such as Tikhonov regularization and truncated singular value decomposition—improve the spatial resolution of the optical reconstructions via increasing the node density of the mesh considered for modeling light transport. Using techniques from linear algebra, it is shown that, as one increases the number of nodes beyond the number of measurements, information is lost by the forward model. It is demonstrated that this information cannot be recovered using various common reconstruction techniques. Evidence is provided showing that this phenomenon is related to the smoothing properties of the elliptic forward model that is used in the diffusion approximation to light transport in tissue. This argues for reconstruction techniques that are sensitive to boundaries, such as L1-reconstruction and the use of priors, as well as the natural approach of building a measurement geometry that reflects the desired image resolution.

© 2012 Optical Society of America

OCIS Codes
(100.6950) Image processing : Tomographic image processing
(110.6960) Imaging systems : Tomography
(110.7050) Imaging systems : Turbid media
(110.3010) Imaging systems : Image reconstruction techniques

ToC Category:
Imaging Systems

History
Original Manuscript: September 2, 2011
Revised Manuscript: November 16, 2011
Manuscript Accepted: December 2, 2011
Published: February 17, 2012

Virtual Issues
Vol. 7, Iss. 5 Virtual Journal for Biomedical Optics

Citation
Petra Bonfert-Taylor, Frederic Leblond, Robert W. Holt, Kenneth Tichauer, Brian W. Pogue, and Edward C. Taylor, "Information loss and reconstruction in diffuse fluorescence tomography," J. Opt. Soc. Am. A 29, 321-330 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-3-321

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