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An explicit inversion formula for the exponential Radon transform using data from 180 degrees
Stockholm University, Faculty of Science, Department of Mathematics. Matematik.
2004 (English)In: Arkiv för Matematik, ISSN 0004-2080, Vol. 42, no 2, 353-362 p.Article in journal (Refereed) Published
Abstract [en]

We derive a direct inversion formula for the exponential Radon transform. Our formula requires only the values of the transform over an 180° range of angles. It is an explicit formula, except that it involves a holomorphic function for which an explicit expression has not been found. In practice, this function can be approximated by an easily computed polynomial of rather low degree.

Place, publisher, year, edition, pages
2004. Vol. 42, no 2, 353-362 p.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:su:diva-20252DOI: doi:10.1007/BF02385485OAI: oai:DiVA.org:su-20252DiVA: diva2:186778
Available from: 2007-11-23 Created: 2007-11-23 Last updated: 2011-01-12Bibliographically approved

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Publisher's full texthttp://www.springerlink.com/content/6435h630m234w770/?p=8dffa2a320fa42fba866254d2b486b0f&pi=9

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