Image Reconstruction from Projections. Antti Tuomas Jalava Jaime Garrido Ceca. Overview. Reconstruction methods Fourier slice theorem & Fourier method Backprojection Filtered backprojection Algebraic reconstruction Diffractive tomography Display of CT images
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Antti Tuomas Jalava
Jaime Garrido Ceca
is equal to the radial section (slice or profile) of the2D Fourier Transform of the 2D image at the angle of the projection.
1 voxel width
When an object, f(x,y), is illuminated with a plane wave the Fourier transform of the forward scattered fields measured on line TT’ gives the values of the 2-D transform, F(w1,w2), of the object along a circular arc in the frequency domain, as shown in the right half of the figure.
Find that maximizes likelihood