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Back Projection. Image and Sinogram. Projections. 135°. 30°. Back Projection. 180 Projections. Four Projections. Filtered Sinogram. s = R(:,k); sf = ( fft (s)); q = abs( linspace (-1,1,length( sf )+1))'; sf = sf.* fftshift (q(2:(end-0))); R(:,k) = real( ifft (( sf )));.
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Projections 135° 30°
Back Projection 180 Projections Four Projections
Filtered Sinogram s = R(:,k); sf = (fft(s)); q = abs(linspace(-1,1,length(sf)+1))'; sf = sf.*fftshift(q(2:(end-0))); R(:,k) = real(ifft((sf)));
Filtered Projections 30° 135°
Filtered Backprojection 180 Projections 4 Projections
Filtered Backprojection Filtering Direction 180 Projections