English

Explicit Circular Harmonic Inversions of Exponential Radon Transform

Signal Processing 2020-02-19 v1

Abstract

Using Plemelj formula we obtain three circular harmonic inversion formulas of the exponential Radon transform with complex coefficients. We also derive two different range conditions and prove that Novikov's range condition does imply the traditional range condition for real coefficients.

Cite

@article{arxiv.2002.07609,
  title  = {Explicit Circular Harmonic Inversions of Exponential Radon Transform},
  author = {Jiangsheng You and Geyang Du and Gengsheng L Zeng and Zhengrong Liang},
  journal= {arXiv preprint arXiv:2002.07609},
  year   = {2020}
}
R2 v1 2026-06-23T13:45:25.348Z