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Mixed Total Variation and L1 Regularization Method for Optical Tomography Based on Radiative Transfer Equation
المؤلفون المشاركون
Tang, Jinping
Bi, Bo
Li, Li
Han, Bo
Han, Weimin
المصدر
Computational and Mathematical Methods in Medicine
العدد
المجلد 2017، العدد 2017 (31 ديسمبر/كانون الأول 2017)، ص ص. 1-15، 15ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2017-02-09
دولة النشر
مصر
عدد الصفحات
15
التخصصات الرئيسية
الملخص 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.
نمط استشهاد جمعية علماء النفس الأمريكية (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
نمط استشهاد الجمعية الأمريكية للغات الحديثة (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
نمط استشهاد الجمعية الطبية الأمريكية (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
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1142043
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
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