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documentation for the NFFT library

NFFT3 is a software library written in C for computing nonequispaced fast Fourier and related transformations. In detail, NFFT3 implements:

1) The nonequispaced fast Fourier transform (NFFT)

   - the forward transform (NFFT)
   - the adjoint transform (adjoint NFFT)

2) Generalisations of the NFFT

   - to arbitrary knots in time and frequency domain (NNFFT)
   - to the sphere S^2 (NFSFT)
   - to the hyperbolic cross (NSFFT)
   - to real-valued data, i.e. (co)sine transforms, (NFCT, NFST)
   - to the rotation group (NFSOFT)

3) Generalised inverses based on iterative methods, e.g. CGNR, CGNE

4) Applications in

   - medical imaging
        (i) magnetic resonance imaging
       (ii) computerised tomography
   - summation schemes
         (i) fast Gauss transform (FGT)
        (ii) singular kernels
       (iii) zonal kernels
   - polar FFT, discrete Radon transform, ridgelet transform

This package provides the documentation for the NFFT library.

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