Edge-promoting reconstruction of absorption and diffusivity in optical tomography

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Edge-promoting reconstruction of absorption and diffusivity in optical tomography. / Hannukainen, A.; Harhanen, L.; Hyvönen, N.; Majander, H.

In: INVERSE PROBLEMS, Vol. 32, No. 1, 015008, 2016.

Research output: Scientific - peer-reviewArticle

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Hannukainen, A.; Harhanen, L.; Hyvönen, N.; Majander, H. / Edge-promoting reconstruction of absorption and diffusivity in optical tomography.

In: INVERSE PROBLEMS, Vol. 32, No. 1, 015008, 2016.

Research output: Scientific - peer-reviewArticle

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@article{e87588ff712148d5ba85554ed2a1c18f,
title = "Edge-promoting reconstruction of absorption and diffusivity in optical tomography",
abstract = "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.",
keywords = "diffuse optical tomography, edge-preferring regularization, LSQR, priorconditioning",
author = "A. Hannukainen and L. Harhanen and N. Hyvönen and H. Majander",
year = "2016",
doi = "10.1088/0266-5611/32/1/015008",
volume = "32",
journal = "INVERSE PROBLEMS",
issn = "0266-5611",
number = "1",

}

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TY - JOUR

T1 - Edge-promoting reconstruction of absorption and diffusivity in optical tomography

AU - Hannukainen,A.

AU - Harhanen,L.

AU - Hyvönen,N.

AU - Majander,H.

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - diffuse optical tomography

KW - edge-preferring regularization

KW - LSQR

KW - priorconditioning

UR - http://www.scopus.com/inward/record.url?scp=84952899919&partnerID=8YFLogxK

U2 - 10.1088/0266-5611/32/1/015008

DO - 10.1088/0266-5611/32/1/015008

M3 - Article

VL - 32

JO - INVERSE PROBLEMS

T2 - INVERSE PROBLEMS

JF - INVERSE PROBLEMS

SN - 0266-5611

IS - 1

M1 - 015008

ER -

ID: 3227314