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Numerous methods for the inversion of the Radon transformation which is the basis of computerized tomography are known: Fourier inversion, filtered backprojection or Kaczmarz's method. In the filtered backprojection method the choice of the filter function is crucial for the quality of the pictures. Here we deal with singular filter functions which have some advantages in comparison with conventional filters. An adapted method allows to handle the numerical problems caused by the singularities.

Singular Filters for the Radon Backprojection