Applications

[RainerHeintzmann]

Maybe this is a good place to collect applications based on NFFT?

Wrt. the earlier issue/discussion on resampling based on NFFTs, you can have a look at the branch:

https://github.com/bionanoimaging/FourierTools.jl/tree/resample_var

,which contains the functions nfft_nd() etc. and also the application rescale_nfft() which allows to resample (regrid) data from (almost) arbitrary grids or onto (almost) arbitrary grids as long as the topology is representable by arrays.
It may soon be part of the distributed version of the FourierTools package.

Here is an example of appying a spiral-shaped coordinate transform to a test image:

[tknopp]

I would love to have some application section (e.g. within the documentation?) where we collect applications of the NFFT. I have to admit that I don't have the complete picture and in turn would learn quite a bit from that page. I know the NFFT from these domains:

• Magnetic resonance imaging with non-equidistant sampling trajectories
• Exploiting the Fourier Slice Theorem (-> Computed Tomography)
• Optical coherence tomography reconstruction (prisms spread the light non-equidistantly)