Arkiv för Matematik

  • Ark. Mat.
  • Volume 42, Number 2 (2004), 353-362.

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

Hans Rullgård

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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.

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Ark. Mat., Volume 42, Number 2 (2004), 353-362.

Received: 13 December 2002
Revised: 28 August 2003
First available in Project Euclid: 31 January 2017

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2004 © Institut Mittag-Leffler


Rullgård, Hans. An explicit inversion formula for the exponential Radon transform using data from 180°. Ark. Mat. 42 (2004), no. 2, 353--362. doi:10.1007/BF02385485.

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