{"title":"A pre-iteration method for the inverse problem in electrical impedance tomography","authors":"Huaxiang Wang, Chao Wang, W. Yin","doi":"10.1109/IMTC.2003.1208187","DOIUrl":null,"url":null,"abstract":"In this paper, the relationship between Landweber iteration and the generalized inverse has been analyzed, and it is shown that Landweber iteration is, in fact, a modification of the generalized inverse that is implemented by using the iteration solution. At the same time, a new reconstruction algorithm, termed the pre-iteration method, is proposed, which splits the image reconstruction process into two steps that are the off-line pre-iteration and the on-line one-step reconstruction. The speed of image reconstruction is remarkably increased.","PeriodicalId":135321,"journal":{"name":"Proceedings of the 20th IEEE Instrumentation Technology Conference (Cat. No.03CH37412)","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"30","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 20th IEEE Instrumentation Technology Conference (Cat. No.03CH37412)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IMTC.2003.1208187","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 30
Abstract
In this paper, the relationship between Landweber iteration and the generalized inverse has been analyzed, and it is shown that Landweber iteration is, in fact, a modification of the generalized inverse that is implemented by using the iteration solution. At the same time, a new reconstruction algorithm, termed the pre-iteration method, is proposed, which splits the image reconstruction process into two steps that are the off-line pre-iteration and the on-line one-step reconstruction. The speed of image reconstruction is remarkably increased.