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2. Analytical reconstructions: filtered backprojection (FBP)
Since the advent of CT scanners, the dominant methods have been analytical, based as they are on a double Fourier transform. They are simple and benefit from FFT (Fast Fourier Transform) algorithms, which considerably lighten the computations - an essential property in the 1970s-2010s.
2.1 Radon projection or transform
Let's start with the detector input signal (one-dimensional: pixels with coordinate r) : E (r, θ) is the sum of a mean value reflecting the attenuation of the primary beam
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Analytical reconstructions: filtered backprojection (FBP)
Algebraic reconstructions
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