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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 23 — Nov. 8, 2010
  • pp: 23676–23690

Compressed sensing in diffuse optical tomography

Mehmet Süzen, Alexia Giannoula, and Turgut Durduran  »View Author Affiliations


Optics Express, Vol. 18, Issue 23, pp. 23676-23690 (2010)
http://dx.doi.org/10.1364/OE.18.023676


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Abstract

Diffuse optical tomography (DOT) allows tomographic (3D), non-invasive reconstructions of tissue optical properties for biomedical applications. Severe under-sampling is a common problem in DOT which leads to image artifacts. A large number of measurements is needed in order to minimize these artifacts. In this work, we introduce a compressed sensing (CS) framework for DOT which enables improved reconstructions with under-sampled data. The CS framework uses a sparsifying basis, 1-regularization and random sampling to reduce the number of measurements that are needed to achieve a certain accuracy. We demonstrate the utility of the CS framework using numerical simulations. The CS results show improved DOT results in comparison to “traditional” linear reconstruction methods based on singular-value decomposition (SVD) with 2-regularization and with regular and random sampling. Furthermore, CS is shown to be more robust against the reduction of measurements in comparison to the other methods. Potential benefits and shortcomings of the CS approach in the context of DOT are discussed.

© 2010 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(110.6960) Imaging systems : Tomography
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.5280) Medical optics and biotechnology : Photon migration

ToC Category:
Medical Optics and Biotechnology

History
Original Manuscript: July 30, 2010
Revised Manuscript: September 24, 2010
Manuscript Accepted: October 15, 2010
Published: October 27, 2010

Virtual Issues
Vol. 6, Iss. 1 Virtual Journal for Biomedical Optics

Citation
Mehmet Süzen, Alexia Giannoula, and Turgut Durduran, "Compressed sensing in diffuse optical tomography," Opt. Express 18, 23676-23690 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-23-23676


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