{"title":"Xfct inversion by generalized ridge functions","authors":"E. Miqueles, A. R. Pierro","doi":"10.1109/ISBI.2010.5490060","DOIUrl":null,"url":null,"abstract":"X-Ray fluorescence computed tomography (xfct) aims at reconstructing fluorescence density from emission data given the measured x-ray attenuation. In this paper, inspired by the classical results from Logan & Shepp [3], we briefly discuss the existence of generalized ridge functions providing the minimal norm solution of the inverse problem. An algorithm to construct such functions is presented, based on results from Kazantsev [4]. Numerical results are also shown, with real and simulated data.","PeriodicalId":250523,"journal":{"name":"2010 IEEE International Symposium on Biomedical Imaging: From Nano to Macro","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 IEEE International Symposium on Biomedical Imaging: From Nano to Macro","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISBI.2010.5490060","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
X-Ray fluorescence computed tomography (xfct) aims at reconstructing fluorescence density from emission data given the measured x-ray attenuation. In this paper, inspired by the classical results from Logan & Shepp [3], we briefly discuss the existence of generalized ridge functions providing the minimal norm solution of the inverse problem. An algorithm to construct such functions is presented, based on results from Kazantsev [4]. Numerical results are also shown, with real and simulated data.
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