An EM-like reconstruction method for diffuse optical tomography

Diffuse optical tomography (DOT) is an optical imaging modality which provides the spatial distributions of optical parameters inside an object. The forward model of DOT is described by the diffusion approximation of radiative transfer equation, while the DOT is to reconstruct the optical parameters...

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Bibliographic Details
Published in:International journal for numerical methods in biomedical engineering 2010-09, Vol.26 (9), p.1099-1116
Main Author: Wang, Caifang
Format: Article
Language:English
Subjects:
absorption coefficient
Algorithms
Applied sciences
Artificial intelligence
Biological and medical sciences
Boundaries
Computer science
control theory
systems
diffuse optical tomography (DOT)
Diffusion
diffusion coefficient
Exact sciences and technology
Investigative techniques, diagnostic techniques (general aspects)
Iterative methods
Kuhn-Tucker condition
Mathematical analysis
Mathematical models
Medical sciences
Pathology. Cytology. Biochemistry. Spectrometry. Miscellaneous investigative techniques
Pattern recognition. Digital image processing. Computational geometry
Poissonian noise
Reconstruction
Tomography
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Summary:Diffuse optical tomography (DOT) is an optical imaging modality which provides the spatial distributions of optical parameters inside an object. The forward model of DOT is described by the diffusion approximation of radiative transfer equation, while the DOT is to reconstruct the optical parameters from boundary measurements. In this paper, an EM‐like iterative reconstruction method specifically for the steady state DOT problem is developed. Previous iterative reconstruction methods are mostly based on the assumption that the measurement noise is Gaussian, and are of least‐squares type. In this paper, with the assumption that the boundary measurements have independent and identical Poisson distributions, the inverse problem of DOT is solved by maximizing a log‐likelihood functional with inequality constraints, and then an EM‐like reconstruction algorithm is developed according to the Kuhn–Tucker condition. The proposed algorithm is a variant of the well‐known EM algorithm. The performance of the proposed algorithm is tested with three‐dimensional numerical simulation. Copyright © 2010 John Wiley & Sons, Ltd.
ISSN:2040-7939
2040-7947
2040-7947
DOI:10.1002/cnm.1387