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Mixed Total Variation and L1 Regularization Method for Optical Tomography Based on Radiative Transfer Equation
Joint Authors
Tang, Jinping
Bi, Bo
Li, Li
Han, Bo
Han, Weimin
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-09
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Optical tomography is an emerging and important molecular imaging modality.
The aim of optical tomography is to reconstruct optical properties of human tissues.
In this paper, we focus on reconstructing the absorption coefficient based on the radiative transfer equation (RTE).
It is an ill-posed parameter identification problem.
Regularization methods have been broadly applied to reconstruct the optical coefficients, such as the total variation (TV) regularization and the L1 regularization.
In order to better reconstruct the piecewise constant and sparse coefficient distributions, TV and L1 norms are combined as the regularization.
The forward problem is discretized with the discontinuous Galerkin method on the spatial space and the finite element method on the angular space.
The minimization problem is solved by a Jacobian-based Levenberg-Marquardt type method which is equipped with a split Bregman algorithms for the L1 regularization.
We use the adjoint method to compute the Jacobian matrix which dramatically improves the computation efficiency.
By comparing with the other imaging reconstruction methods based on TV and L1 regularizations, the simulation results show the validity and efficiency of the proposed method.
American Psychological Association (APA)
Tang, Jinping& Han, Bo& Han, Weimin& Bi, Bo& Li, Li. 2017. Mixed Total Variation and L1 Regularization Method for Optical Tomography Based on Radiative Transfer Equation. Computational and Mathematical Methods in Medicine،Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1142043
Modern Language Association (MLA)
Tang, Jinping…[et al.]. Mixed Total Variation and L1 Regularization Method for Optical Tomography Based on Radiative Transfer Equation. Computational and Mathematical Methods in Medicine No. 2017 (2017), pp.1-15.
https://search.emarefa.net/detail/BIM-1142043
American Medical Association (AMA)
Tang, Jinping& Han, Bo& Han, Weimin& Bi, Bo& Li, Li. Mixed Total Variation and L1 Regularization Method for Optical Tomography Based on Radiative Transfer Equation. Computational and Mathematical Methods in Medicine. 2017. Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1142043
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142043