The Radon inverse transform is an integral transform that has found widespread application in the reconstruction of images from medical CT scans.
The Radon and inverse Radon transforms are implemented in the Wolfram Language as RadonTransform and InverseRadonTransform, respectively.
The Radon transform itself can be defined by
(1)
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(2)
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(3)
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where is the slope of a line, is its intercept, and is the delta function. The inverse Radon transform is then
(4)
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where is a Hilbert transform.