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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.