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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 37, Iss. 20 — Oct. 15, 2012
  • pp: 4326–4328

Preconditioning of the fluorescence diffuse optical tomography sensing matrix based on compressive sensing

An Jin, Birsen Yazici, Angelique Ale, and Vasilis Ntziachristos  »View Author Affiliations


Optics Letters, Vol. 37, Issue 20, pp. 4326-4328 (2012)
http://dx.doi.org/10.1364/OL.37.004326


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Abstract

Image reconstruction in fluorescence diffuse optical tomography (FDOT) is a highly ill-posed inverse problem due to a large number of unknowns and limited measurements. In FDOT, the fluorophore distribution is often sparse in the imaging domain, since most fluorophores are designed to accumulate in relatively small regions. Compressive sensing theory has shown that sparse signals can be recovered exactly from only a small number of measurements when the forward sensing matrix is sufficiently incoherent. In this Letter, we present a method of preconditioning the FDOT forward matrix to reduce its coherence. The reconstruction results using real data obtained from a phantom experiment show visual and quantitative improvements due to preconditioning in conjunction with convex relaxation and greedy-type sparse signal recovery algorithms.

© 2012 Optical Society of America

OCIS Codes
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.3880) Medical optics and biotechnology : Medical and biological imaging
(170.6960) Medical optics and biotechnology : Tomography

ToC Category:
Medical Optics and Biotechnology

History
Original Manuscript: July 20, 2012
Revised Manuscript: August 30, 2012
Manuscript Accepted: September 7, 2012
Published: October 12, 2012

Citation
An Jin, Birsen Yazici, Angelique Ale, and Vasilis Ntziachristos, "Preconditioning of the fluorescence diffuse optical tomography sensing matrix based on compressive sensing," Opt. Lett. 37, 4326-4328 (2012)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-37-20-4326


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References

  1. L. Zhou and B. Yazici, IEEE Trans. Image Process. 20, 1094 (2011). [CrossRef]
  2. M. Elad, IEEE Trans. Signal Process. 55, 5695 (2007). [CrossRef]
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