{"title":"逆心电图的高阶广义特征系统和Tikhonov正则化技术","authors":"R. D. Thorne, L. Olson, T. Hrabik","doi":"10.1109/CIC.1997.647816","DOIUrl":null,"url":null,"abstract":"The authors have previously presented the generalized eigensystem (GES) approach as an alternative to truncated singular value decomposition and zero order Tikhonov regularization methods for the ill-conditioned inverse problem of electrocardiography. Here, they extend their comparison of GES with Tikhonov regularization utilizing higher order regularizers applied to a realistic heart/torso geometry with measured epicardial and body surface potentials. Utilizing higher order regularizers the results from Tikhonov regularization more closely match those of the GES techniques.","PeriodicalId":228649,"journal":{"name":"Computers in Cardiology 1997","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Higher order generalized eigensystem and Tikhonov regularization techniques for inverse electrocardiography\",\"authors\":\"R. D. Thorne, L. Olson, T. Hrabik\",\"doi\":\"10.1109/CIC.1997.647816\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The authors have previously presented the generalized eigensystem (GES) approach as an alternative to truncated singular value decomposition and zero order Tikhonov regularization methods for the ill-conditioned inverse problem of electrocardiography. Here, they extend their comparison of GES with Tikhonov regularization utilizing higher order regularizers applied to a realistic heart/torso geometry with measured epicardial and body surface potentials. Utilizing higher order regularizers the results from Tikhonov regularization more closely match those of the GES techniques.\",\"PeriodicalId\":228649,\"journal\":{\"name\":\"Computers in Cardiology 1997\",\"volume\":\"24 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1997-09-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computers in Cardiology 1997\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CIC.1997.647816\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computers in Cardiology 1997","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CIC.1997.647816","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Higher order generalized eigensystem and Tikhonov regularization techniques for inverse electrocardiography
The authors have previously presented the generalized eigensystem (GES) approach as an alternative to truncated singular value decomposition and zero order Tikhonov regularization methods for the ill-conditioned inverse problem of electrocardiography. Here, they extend their comparison of GES with Tikhonov regularization utilizing higher order regularizers applied to a realistic heart/torso geometry with measured epicardial and body surface potentials. Utilizing higher order regularizers the results from Tikhonov regularization more closely match those of the GES techniques.