Improved Multiplicative Regularization for CSI-EPT

IF 3 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC
Florens Helfferich;Peter M. van den Berg;Rob F. Remis
{"title":"Improved Multiplicative Regularization for CSI-EPT","authors":"Florens Helfferich;Peter M. van den Berg;Rob F. Remis","doi":"10.1109/JERM.2024.3363428","DOIUrl":null,"url":null,"abstract":"We present an improved multiplicative Contrast Source Inversion (CSI) approach for Electrical Properties Tomography (EPT). In EPT, the conductivity and permittivity profiles of a body part are reconstructed based on a known circularly polarized part of the magnetic field (the \n<inline-formula><tex-math>$B_{1}^+$</tex-math></inline-formula>\n-field) that has its support inside the body part of interest. The CSI method attempts to reconstruct these profiles in an iterative and alternating manner by first fixing the contrast and updating the contrast source (product of tissue contrast and electric field) and subsequently fixing the contrast source and updating the contrast. In this paper, regularization is included in a multiplicative way similar to the standard multiplicative CSI-EPT method. However, the regularized objective function is different and an update for the contrast is obtained through one-step Jacobi filtering of a least-squares reconstruction that is based on the updated contrast source. Two-dimensional numerical experiments for conductivity and permittivity tissue profiles of a female body model show that, for data with various noise levels, the proposed regularization approach generally provides improved tissue reconstructions compared with standard multiplicative CSI-EPT.","PeriodicalId":29955,"journal":{"name":"IEEE Journal of Electromagnetics RF and Microwaves in Medicine and Biology","volume":"8 1","pages":"84-89"},"PeriodicalIF":3.0000,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Journal of Electromagnetics RF and Microwaves in Medicine and Biology","FirstCategoryId":"1085","ListUrlMain":"https://ieeexplore.ieee.org/document/10438521/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0

Abstract

We present an improved multiplicative Contrast Source Inversion (CSI) approach for Electrical Properties Tomography (EPT). In EPT, the conductivity and permittivity profiles of a body part are reconstructed based on a known circularly polarized part of the magnetic field (the $B_{1}^+$ -field) that has its support inside the body part of interest. The CSI method attempts to reconstruct these profiles in an iterative and alternating manner by first fixing the contrast and updating the contrast source (product of tissue contrast and electric field) and subsequently fixing the contrast source and updating the contrast. In this paper, regularization is included in a multiplicative way similar to the standard multiplicative CSI-EPT method. However, the regularized objective function is different and an update for the contrast is obtained through one-step Jacobi filtering of a least-squares reconstruction that is based on the updated contrast source. Two-dimensional numerical experiments for conductivity and permittivity tissue profiles of a female body model show that, for data with various noise levels, the proposed regularization approach generally provides improved tissue reconstructions compared with standard multiplicative CSI-EPT.
CSI-EPT 的改进乘法正则化
我们提出了一种用于电特性断层扫描(EPT)的改进型乘法对比源反演(CSI)方法。在 EPT 中,身体部位的电导率和介电常数剖面是根据已知的磁场圆极化部分($B_{1}^+$-场)重建的,该磁场在相关身体部位内部有支撑点。CSI 方法试图以迭代和交替的方式重建这些剖面,首先固定对比度并更新对比度源(组织对比度与电场的乘积),然后固定对比度源并更新对比度。本文采用类似于标准乘法 CSI-EPT 方法的乘法正则化方法。不过,正则化的目标函数有所不同,对比度的更新是通过对基于更新对比度源的最小二乘重建进行一步雅可比滤波获得的。对一个女性人体模型的电导率和介电常数组织剖面进行的二维数值实验表明,与标准的乘法 CSI-EPT 相比,对于各种噪声水平的数据,所提出的正则化方法一般都能提供更好的组织重建。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
CiteScore
5.80
自引率
9.40%
发文量
58
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信