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The mathematical operations of a filtered backprojection consist of
four steps.
1. A Fourier transform of Radon space should be performed.
2. A high-pass filter should be applied to the Fourier Space.
3. An inverse Fourier transform should be applied to the high
pass filtered Fourier space.
4. This inverse filtered Fourier transform yields a spatial
domain that can be backprojected to yield a reconstruction
of the object domain.
The filtered inverse Fourier transform is thus used to
achieve the so-called filtered backprojection.