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Imaging. PET. Course Layout. Talk Layout. Repetition of PET princinples PET image reconstruction -FBP Physics of NMR Application to imaging of NMR -MRI. PET. Positron emission. PET. 5a. 5b. 4. 1. 2. 3. Coincidence Events. 1. Detected True Coincidence Event.
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Imaging PET
Talk Layout • Repetition of PET princinples • PET image reconstruction -FBP • Physics of NMR • Application to imaging of NMR -MRI
5a 5b 4 1 2 3 Coincidence Events 1. Detected True Coincidence Event 2. True Event Lost to Sensitivity or Deadtime 3. True Event Lost to Photon Attenuation 4. Scattered Coincidence Event 5a,b. Random Coincidence Event
Filtered backprojection • Filter the measured projection data at different projection • angles with a special function. • Backproject the filtered projection data to form the • reconstructed image. • Filtering can be implemented in 2 ways, in the spatial domain, the filter operation is • equivalent to to convolving the measured projection data using a special convolving • function h(t) • More efficient multiplication will be in the spatial frequency domain. • FFT the measured projection data into the frequency domain: • p(,)=FT {p(t, ) • Multiply the the fourier transform projections with the special function. • Inverse Fourier transform the product p’(,).