东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2011, Vol. 32 ›› Issue (5): 618-621.DOI: -

• 论著 • 上一篇    下一篇

一种用于磁感应成像中灵敏度矩阵的计算方法

吕轶;王旭;杨丹;陈玉艳;   

  1. 东北大学信息科学与工程学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    中央高校基本科研业务费青年教师科研启动基金资助项目(N100304008)

Calculating the sensitivity matrix used in magnetic induction tomography

Lü, Yi (1); Wang, Xu (1); Yang, Dan (1); Chen, Yu-Yan (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Lü, Y.
  • About author:-
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摘要： 生物组织中的磁感应成像(MIT)是一种通过测量交变磁场中因扰动导体所引起的感应电压来重建复合电导率分布的方法.灵敏度矩阵即是映射电导率分布的变化与接收线圈中感应电压变化的对应关系.基于有限元方法和补偿原理,提出一种快速计算灵敏度矩阵的方法,并应用这种方法进行了多种仿真分析实验.结果表明,通过该方法可以快速地对单个扰动和多个扰动的灵敏度矩阵进行有效求解,即为MIT中逆问题的图像重建提供了有效的方法.

关键词: 磁感应成像, 灵敏度矩阵, 接收线圈, 有限元, 图像重建

Abstract: Magnetic induction tomography in biological tissues is a reconstruction method for complex conductivity distribution by measuring inductive voltage due to disturbances in an alternating magnetic field. A sensitivity matrix involves mapping changes of the conductivity distribution onto the induced voltage in a receiver coil. A method basad on finite element and compensation theary is presented for rapidly calculating the sensitivity matrix, and is applied to a variety of simulation experiments. Results indicate that a sensitivity matrix with single perturbation and multiple perturbations can be solved quickly using this method and thus it provides an effective means of image reconstruction of inverse problems in MIT.

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