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Abstract

We consider the reconstruction of pictures from p complete projections. We show that the filtered backprojection algorithm achieves an L2-error of order p for picture densities which belong to the Sobolev space \( H_{0}^{\alpha }\left( \Omega \right) \) when the ideal low-pass filter is used. We derive an optimal filter by minimizing our error bound. The validity of our error estimate and the performence of the optimal filter are investigated by numerical experiments.

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Copyright information

© Springer Basel AG 1979

Authors and Affiliations

  • Frank Natterer

There are no affiliations available

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