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
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