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

Hans Rullgård Department of Mathematics, Stockholm University

TBD mathscidoc:1701.333039

Arkiv for Matematik, 42, (2), 353-362, 2002.12
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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@inproceedings{hans2002an,
  title={An explicit inversion formula for the exponential Radon transform using data from 180°},
  author={Hans Rullgård},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203611948465848},
  booktitle={Arkiv for Matematik},
  volume={42},
  number={2},
  pages={353-362},
  year={2002},
}
Hans Rullgård. An explicit inversion formula for the exponential Radon transform using data from 180°. 2002. Vol. 42. In Arkiv for Matematik. pp.353-362. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203611948465848.
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