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Information loss and reconstruction in diffuse fluorescence tomography |
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
© 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/vjbo/abstract.cfm?URI=josaa-29-3-321
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