2015
DOI: 10.1364/boe.6.002961
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Quantification and normalization of noise variance with sparsity regularization to enhance diffuse optical tomography

Abstract: Conventional reconstruction of diffuse optical tomography (DOT) is based on the Tikhonov regularization and the white Gaussian noise assumption. Consequently, the reconstructed DOT images usually have a low spatial resolution. In this work, we have derived a novel quantification method for noise variance based on the linear Rytov approximation of the photon diffusion equation. Specifically, we have implemented this quantification of noise variance to normalize the measurement signals from all source-detector c… Show more

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Cited by 6 publications
(3 citation statements)
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“…Thus, reconstruction of a volume of cortical surfaces based on distinct and different 3-D points could result in better 3-D activation maps. In the past, different algorithms have been presented for such activation maps, e.g., regularization algorithms [75,76], among them is the popular method Tikhonove regularization, which is also known as L2-norm regularization [77]. It is used frequently because of its ease of implementation and robustness of solution.…”
Section: Discussionmentioning
confidence: 99%
“…Thus, reconstruction of a volume of cortical surfaces based on distinct and different 3-D points could result in better 3-D activation maps. In the past, different algorithms have been presented for such activation maps, e.g., regularization algorithms [75,76], among them is the popular method Tikhonove regularization, which is also known as L2-norm regularization [77]. It is used frequently because of its ease of implementation and robustness of solution.…”
Section: Discussionmentioning
confidence: 99%
“…Yao et al [167] presented a new quantification method for reduction of noise variance based upon a linear Rytov approximation [168] related to transport of light photons. The results suggest that it is an effective reconstruction approach to improve the spatial resolution with acceptable noise variance.…”
Section: B Image Reconstruction Algorithmsmentioning
confidence: 99%
“…Photons are thought and modeled as particles in Monte Carlo (MC) simulations 33‐54 or waves as in diffusion equation (DE) approximation which descent from nuclear radiative transfer equation (RTE) 55‐86 . Physical modeling of light transport inside the heterogeneous tissue is necessary for understanding and analyzing of weak energized photons in diffusive media.…”
Section: Introductionmentioning
confidence: 99%