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Home < July31T-con < PlayingWithTheDiffusionDataExploring the Upsampling of the BWH Diffusion Data
Extracting one a slice for one of the gradient directions of the diffusion data results in an image like this:
A two-dimensional Fourier transform leads the following magnitude images (uncentered and centered):
Representing this in the log-domain results in
Cutting away everything that should ideally be zero gives this Fourier log-image:
An inverse Fourier transform followed by discretization results in:
The result is slighly smoother than the original, which is sensible since we essentially low-pass filtered the result.
The difference between original and reconstruction is not great, but still shows a little bit of structure:
In case you want to recreate the results. Here is the matlab script dwiTstScript.m. And here is the data SampleDWIDataSlice.tar.gz.