Projection slice theorem using polar NUFFT

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Alan AF
Alan AF 2013-4-8
Hi everyone!
Are there any implementation of the central slice theorem using the polar_FFT of NUFFT ( nonuniform FFT )?
Actually I am trying to simulate CT reconstruction as below:
  • take the Radon transform of a 2D slice over different theta,
  • generate a sampling pattern (radial mask)
  • generate a variable density radial grid.
  • place the radon transform into the radial grid
  • generate Fourier sampling operator {ex: FT = p2DFT(mask)}
  • Item reconstruct initial image with (zero-fill with density compensation ) (ex: im = FT'*(data))
I would be very grateful for your help Thank you Alan
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Alan AF
Alan AF 2013-4-12
could any one know how to implement the Central Slice theorem using using Fessler's NUFFT package?

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