Singular Values and Functions of the Radon Transform

Per Christian Hansen, William R.B. Lionheart

Research output: Chapter in Book/Report/Conference proceedingBook chapterEducation


We have studied an efficient algorithm—FBP—for computing a parallel-beam CT reconstruction. And we saw that the reconstruction is sensitive to noise in the data. Some natural questions that now arise are as follows: How can we further study the Radon transform and its inverse, how can we describe its sensitivity to noise, and how can we possibly reduce the influence of the noise?
Original languageEnglish
Title of host publicationComputed Tomography: Algorithms, Insight, and Just Enough Theory
EditorsPer Christian Hansen, Jakob Sauer Jørgensen, William R. B. Lionheart
PublisherSociety for Industrial and Applied Mathematics
Publication date2021
ISBN (Print)978-1-61197-666-3
Publication statusPublished - 2021
SeriesFundamentals of Algorithms


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