Analytical reconstructions: filtered backprojection (FBP)
X-ray medical imaging. 3D image processing
Article REF: MED204 V1
Analytical reconstructions: filtered backprojection (FBP)
X-ray medical imaging. 3D image processing

Author : Thierry LEMOINE

Publication date: June 10, 2015 | Lire en français

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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 〈E  (r,  θ)〉...

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