کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8902068 | 1631954 | 2018 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
RTE-based parameter reconstruction with TV+L1 regularization
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Optical tomography is an imaging modality that explores the distribution of optical parameters in tissues. In this paper, the regularization jointing both TV and L1 norm is studied for absorption parameter identification based on radiative transport equation. The TV+L1 framework is introduced containing L2 data fidelity, TV regularizer and L1 regularizer. We demonstrate the existence, stability and convergence of the minima with respect to this TV+L1 regularization. A novel algorithm for solving related optimization problem is proposed based on reweighted method and technique of split-Bregman. Simulations are performed to show that the proposed reweighted TV+L1 regularization is more capable of preserving geometric structure of inclusions, quantifying values of absorption parameter and promoting fast convergence compared with TV or L1 regularization, and is potential for breast cancer imaging. Moreover, it is robust to noise.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 337, 1 August 2018, Pages 256-273
Journal: Journal of Computational and Applied Mathematics - Volume 337, 1 August 2018, Pages 256-273
نویسندگان
Shanshan Tong, Bo Han, Yong Chen, Jinping Tang, Bo Bi, Ruixue Gu,