Edge-promoting reconstruction of absorption and diffusivity in optical tomography
| Autor: | Nuutti Hyvönen, Lauri Harhanen, Helle Majander, Antti Hannukainen |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Gaussian
010103 numerical & computational mathematics Thermal diffusivity 01 natural sciences Noise (electronics) Theoretical Computer Science symbols.namesake medicine Maximum a posteriori estimation FOS: Mathematics Mathematics - Numerical Analysis 0101 mathematics Diffusion (business) Optical tomography Absorption (electromagnetic radiation) Mathematical Physics Mathematics medicine.diagnostic_test Applied Mathematics Numerical Analysis (math.NA) Diffuse optical imaging Computer Science Applications Computational physics 010101 applied mathematics 65N21 35R30 35Q60 Signal Processing symbols |
| Popis: | 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 measurement data. 18 pages, 6 figures |
| Databáze: | OpenAIRE |
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