{"title":"分析","authors":"R. Hedden","doi":"10.1142/9781786345738_0003","DOIUrl":null,"url":null,"abstract":"—A new method based on the Cavalieri condition for the Radon transform is developed to solve a problem of ROI tomography. This condition is used to construct a system of linear algebraic equations to estimate unknown projection data. Computational experiment has shown that the proposed method significantly improves the reconstruction accuracy, weakens artifacts, and provides an estimate of the internal structure of the object outside the region of interest","PeriodicalId":332881,"journal":{"name":"Cost Engineering in Printed Circuit Board Manufacturing","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analysis\",\"authors\":\"R. Hedden\",\"doi\":\"10.1142/9781786345738_0003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"—A new method based on the Cavalieri condition for the Radon transform is developed to solve a problem of ROI tomography. This condition is used to construct a system of linear algebraic equations to estimate unknown projection data. Computational experiment has shown that the proposed method significantly improves the reconstruction accuracy, weakens artifacts, and provides an estimate of the internal structure of the object outside the region of interest\",\"PeriodicalId\":332881,\"journal\":{\"name\":\"Cost Engineering in Printed Circuit Board Manufacturing\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-08-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Cost Engineering in Printed Circuit Board Manufacturing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/9781786345738_0003\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cost Engineering in Printed Circuit Board Manufacturing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/9781786345738_0003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
—A new method based on the Cavalieri condition for the Radon transform is developed to solve a problem of ROI tomography. This condition is used to construct a system of linear algebraic equations to estimate unknown projection data. Computational experiment has shown that the proposed method significantly improves the reconstruction accuracy, weakens artifacts, and provides an estimate of the internal structure of the object outside the region of interest
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