|本期目录/Table of Contents|

[1]马任,杨铭,张顺起,等.基于奇异值分解方法的磁感应磁声断层重建算法*[J].生物医学工程研究,2019,02:129-133.
 MA Ren,YANG Ming,ZHANG Shunqi,et al.Magneto-acoustic tomography with magnetic induction reconstruction algorithm based on singular value decomposition method[J].Journal of Biomedical Engineering Research,2019,02:129-133.
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基于奇异值分解方法的磁感应磁声断层重建算法*(PDF)

《生物医学工程研究》[ISSN:1006-6977/CN:61-1281/TN]

期数:
2019年02期
页码:
129-133
栏目:
出版日期:
2019-06-25

文章信息/Info

Title:
Magneto-acoustic tomography with magnetic induction reconstruction algorithm based on singular value decomposition method
文章编号:
1672-6278 (2019)02-0129-05
作者:
马任杨铭张顺起周晓青殷涛刘志朋△
北京协和医学院 中国医学科学院 生物医学工程研究所,天津 300192
Author(s):
MA Ren YANG Ming ZHANG Shunqi ZHOU Xiaoqing YIN Tao LIU Zhipeng
Institute of Biomedical Engineering, Chinese Academy of Medical Sciences & Peking Union Medical College, Tianjin 300192, China
关键词:
磁感应磁声成像系统矩阵特征值逆问题重建算法
Keywords:
Magneto-acoustic tomography with magnetic inductionSystem matrixSingular values Inverse problemReconstruction algorithm
分类号:
R318
DOI:
10.19529/j.cnki.1672-6278.2019.02.01
文献标识码:
A
摘要:
为了提高磁感应磁声成像的成像分辨率,克服低信噪比的磁声信号对磁感应磁声成像重建效果的影响,本研究基于实验系统参数及磁声声源产生传播接收过程,建立了一个磁感应磁声实验系统矩阵,采用截断奇异值分解(TSVD)方法求解了该系统矩阵的特征值及逆矩阵,并将该系统矩阵应用到磁感应磁声成像的正逆问题算法中。为了验证该算法的普适性,建立了一个具有不同形状的电阻抗分布仿体模型,使用Matlab计算数值,得到了三种不同条件下的重建结果。仿真结果证明:该算法在信噪比较高的情况下重建的电导率分布与原始电导率分布基本一致,且能够在信噪比较低的情况下较好的重建电导率分布。该研究为进一步实验研究和实验重建的精确性提供了研究基础。
Abstract:
In order to improve the imaging resolution of magneto-acoustic tomography with magnetic induction(MAT-MI) and overcome the influence of the magneto-acoustic signal with low signal-to-noise ratio(SNR)on the reconstruction effect of magnetic induction magnetic acoustic imaging, a matrix of MAT-MI system matrix was established based on the parameters of the experimental system and the generation, propagation process of the magneto-acoustic source. By using the truncated singular value decomposition (TSVD) methods, the singular values decomposition and inverse matrix of the system matrix were computed,the matrix of the system was applied to the forward and inverse problem of MAT-MI. In order to verify the universality of the algorithm, a conductivity distribution phantom model which had different shapes was established, and the reconstruction results under three different conditions were obtained by using Matlab for numerical simulation. The simulation results showed that the conductivity distribution of the proposed algorithm was basically the same as that of the original conductivity distribution under the condition of high signal-to-noise ratio, and the conductivity distribution can be reconstructed well under the condition of low SNR. This study provides a basis for further experimental research and the accuracy of experimental reconstruction.

参考文献/References

备注/Memo

备注/Memo:
(收稿日期:2019-02-25)国家自然科学基金资助项目(61701545,81772004,81772003);天津市自然科学基金重点资助项目(17JCZDJC32400);中国医学科学院医学与健康科技创新工程协同创新团队资助项目(2017-I2M-3-020)。△通信作者Email: lzpeng67@163.com
更新日期/Last Update: 2019-07-17