An explicit inversion formula for the exponential Radon transform using data from 180

An explicit inversion formula for the exponential Radon transform using data from 180

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, th...

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Veröffentlicht in:Arkiv för matematik 2004-10, Vol.42 (2), p.353-362
1. Verfasser: Rullgård, Hans
Format: Artikel
Sprache:eng
Schlagworte:
MATEMATIK
MATHEMATICS
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Zusammenfassung: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.
ISSN:0004-2080
1871-2487
DOI:10.1007/BF02385485