{"title":"Lecture Notes on Computerized Tomography","authors":"Matthias Beckmann","doi":"arxiv-2312.02393","DOIUrl":null,"url":null,"abstract":"These lecture notes give an introduction to the mathematics of computer(ized)\ntomography (CT). Treated are the imaging principle of X-ray tomography, the\nRadon transform as mathematical model for the measurement process and its\nproperties, the ill-posedness of the underlying mathematical reconstruction\nproblem and classical reconstruction techniques. The required background from\nFourier analysis is also briefly summarized.","PeriodicalId":501061,"journal":{"name":"arXiv - CS - Numerical Analysis","volume":" 7","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - CS - Numerical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2312.02393","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
These lecture notes give an introduction to the mathematics of computer(ized)
tomography (CT). Treated are the imaging principle of X-ray tomography, the
Radon transform as mathematical model for the measurement process and its
properties, the ill-posedness of the underlying mathematical reconstruction
problem and classical reconstruction techniques. The required background from
Fourier analysis is also briefly summarized.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
