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电阻抗成像中变差正则化算法的研究
引用本文:黄嵩,何为. 电阻抗成像中变差正则化算法的研究[J]. 生物医学工程学杂志, 2006, 23(6): 1153-1156
作者姓名:黄嵩  何为
作者单位:重庆大学,教育部高电压与理论电工新技术重点实验室,重庆,400044
基金项目:国家自然科学基金;重庆市自然科学基金
摘    要:我们将变差函数作为罚函数项引入到电阻抗逆问题的正则化重构算法中,形成了变差正则化算法,与常用Tikhonov正则化算法不同,该算法在重构中不仅能够保证逆问题解适定,同时还能够很好地提高重构图像的对比度和锐度,使所得重构图像目标区域与背景区域之间边界更加清晰,定位更加准确,进而使EIT重构图像与医学图像更加吻合,对EIT成像技术早日走上实用化有积极意义。

关 键 词:电阻抗成像  逆问题  变差函数  正则化算法
收稿时间:2004-12-20
修稿时间:2004-12-202005-05-11

Variation Regularization Algorithm in Electrical Impedance Tomography
Huang Song,He Wei. Variation Regularization Algorithm in Electrical Impedance Tomography[J]. Journal of biomedical engineering, 2006, 23(6): 1153-1156
Authors:Huang Song  He Wei
Affiliation:The key Lab. of High-Voltage and Electrical New Technology of China Ministry of Education, Chongqing University, Chongqing 400044, China
Abstract:In this paper, a variation function has been introduced as a regularization penalty term in electrical impedance tomography(EIT) image restoration, which becomes to be the variation regularization algorithm. The key difference with Tikhonov regularization algorithm is that the variation regularization algorithm not only ensures the inverse problem well-posed but also increase the dividing line between the goal region and the background region of restored image clearer. This made the restored image in good accord with the medical image. It has significance to utilize EIT technique.
Keywords:Electrical impedance tomography (EIT) Inverse problem Variation function Regulation algorithm
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