Image reconstruction via the finite Hilbert transform of the derivative of the backprojection.

@article{Zeng2007ImageRV,
  title={Image reconstruction via the finite Hilbert transform of the derivative of the backprojection.},
  author={Gengsheng Lawrence Zeng},
  journal={Medical physics},
  year={2007},
  volume={34 7},
  pages={
          2837-43
        }
}
  • G. Zeng
  • Published 1 July 2007
  • Mathematics
  • Medical physics
An exact analytical image reconstruction method is presented for two-dimensional imaging. The method performs backprojection, the derivative and finite Hilbert transforms. This method can be applied to many imaging geometries. The backprojection procedure is imaging-geometry dependent, while the differentiation and the finite Hilbert transform procedures are identical for all imaging geometries. This algorithm is applicable to list-mode data in nuclear medicine, while other filtered… 
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