Edge-promoting reconstruction of absorption and diffusivity in optical tomography

A. Hannukainen, L. Harhanen, N. Hyvönen, H. Majander*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

8 Citations (Scopus)


In optical tomography a physical body is illuminated with near-infrared light and the resulting outward photon flux is measured at the object boundary. The goal is to reconstruct internal optical properties of the body, such as absorption and diffusivity. In this work, it is assumed that the imaged object is composed of an approximately homogeneous background with clearly distinguishable embedded inhomogeneities. An algorithm for finding the maximum a posteriori estimate for the absorption and diffusion coefficients is introduced assuming an edge-preferring prior and an additive Gaussian measurement noise model. The method is based on iteratively combining a lagged diffusivity step and a linearization of the measurement model of diffuse optical tomography with priorconditioned LSQR. The performance of the reconstruction technique is tested via three-dimensional numerical experiments with simulated data.

Original languageEnglish
Article number015008
Number of pages19
JournalInverse Problems
Issue number1
Early online date16 Dec 2015
Publication statusPublished - 2016
MoE publication typeA1 Journal article-refereed


  • diffuse optical tomography
  • edge-preferring regularization
  • LSQR
  • priorconditioning

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