Direct Fourier Tomographic Reconstruction Image-To-Image Filter
We present an open-source ITK implementation of a direct Fourier method for tomographic reconstruction, applicable to parallel-beam x-ray images. Direct Fourier reconstruction makes use of the central-slice theorem to build a polar 2D Fourier space from the 1D transformed projections of the scanned object, that is resampled into a Cartesian grid. Inverse 2D Fourier transform eventually yields the reconstructed image. Additionally, we provide a complex wrapper to the BSplineInterpolateImageFunction to overcome ITK’s current lack for image interpolators dealing with complex data types. A sample application is presented and extensively illustrated on the Shepp-Logan head phantom. We show that appropriate input zeropadding and 2D-DFT oversampling rates together with radial cubic b-spline interpolation improve 2D-DFT interpolation quality and are efficient remedies to reduce reconstruction artifacts.
DirectFourierReconstruction.pdf
openaccess
4.98 MB
Adobe PDF
4afa73dcc2b4b9945419ba72b45d0cc8
icon.png
openaccess
354.98 KB
PNG
fe53f9d7f4fef8c371bb7de4469e04eb