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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 7, Iss. 13 — Dec. 18, 2000
  • pp: 468–480

Recovery of piecewise constant coefficients in optical diffusion tomography

V. Kolehmainen, M. Vauhkonen, J. P. Kaipio, and S. R. Arridge  »View Author Affiliations

Optics Express, Vol. 7, Issue 13, pp. 468-480 (2000)

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In optical diffusion tomography the reconstruction of the absorbtion and scattering coefficients is conventionally carried out in a pixel basis. The resulting number of unknowns makes the associated inverse problem severely ill-posed. We have recently proposed a new approach in which the goal is to reconstruct boundaries of piece-wise constant tissue regions as well as the diffusion and absorption coefficients within these regions. This method assumes that there is a feasible initial guess on the domain boundaries. In this paper we propose an extension to this approach in which the initial estimate for the boundary and coefficient estimation is extracted from a conventional pixel based reconstruction using standard image processing operations. In the computation of the pixel based reconstruction the output least squares problem is augmented with an approximated total variation prior. The performance of the proposed approach is evaluated using simulated frequency domain data. It is shown that since the total variation type approach favors domains with constant coefficients it is well suited for the fixing of the starting point for the actual boundary and coefficient reconstruction method.

© Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems

ToC Category:
Focus Issue: Diffuse optical tomography

Original Manuscript: October 16, 2000
Published: December 18, 2000

V. Kolehmainen, M. Vauhkonen, Jari Kaipio, and Simon Arridge, "Recovery of piecewise constant coefficients in optical diffusion tomography," Opt. Express 7, 468-480 (2000)

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