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Biomedical Optics Express

Biomedical Optics Express

  • Editor: Joseph A. Izatt
  • Vol. 2, Iss. 12 — Dec. 1, 2011
  • pp: 3334–3348

Improvement of image quality of time-domain diffuse optical tomography with lp sparsity regularization

Shinpei Okawa, Yoko Hoshi, and Yukio Yamada  »View Author Affiliations


Biomedical Optics Express, Vol. 2, Issue 12, pp. 3334-3348 (2011)
http://dx.doi.org/10.1364/BOE.2.003334


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Abstract

An lp (0 < p ≤ 1) sparsity regularization is applied to time-domain diffuse optical tomography with a gradient-based nonlinear optimization scheme to improve the spatial resolution and the robustness to noise. The expression of the lp sparsity regularization is reformulated as a differentiable function of a parameter to avoid the difficulty in calculating its gradient in the optimization process. The regularization parameter is selected by the L-curve method. Numerical experiments show that the lp sparsity regularization improves the spatial resolution and recovers the difference in the absorption coefficients between two targets, although a target with a small absorption coefficient may disappear due to the strong effect of the lp sparsity regularization when the value of p is too small. The lp sparsity regularization with small p values strongly localizes the target, and the reconstructed region of the target becomes smaller as the value of p decreases. A phantom experiment validates the numerical simulations.

© 2011 OSA

OCIS Codes
(100.3190) Image processing : Inverse problems
(170.3880) Medical optics and biotechnology : Medical and biological imaging

ToC Category:
Image Reconstruction and Inverse Problems

History
Original Manuscript: September 23, 2011
Revised Manuscript: November 14, 2011
Manuscript Accepted: November 14, 2011
Published: November 21, 2011

Citation
Shinpei Okawa, Yoko Hoshi, and Yukio Yamada, "Improvement of image quality of time-domain diffuse optical tomography with lp sparsity regularization," Biomed. Opt. Express 2, 3334-3348 (2011)
http://www.opticsinfobase.org/boe/abstract.cfm?URI=boe-2-12-3334


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