{"title":"电阻抗层析反演问题的预迭代方法","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":"{\"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}","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}
A pre-iteration method for the inverse problem in electrical impedance tomography
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.
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