2. Imaging PET

3. Course Layout Class + ContentDateClass Physical Principles of PET23.2.2005I Physical principles of MRI2.3.2005II Imaging applications9.3.2005III Image Reconstruction PET and MRI16.3.2005IV Automatic Image Alignment23.3.2005V PCA30.3.2005VI No Class6.4.2005VII GLM13.4.2005VIII GLM relation to classical tests (Anova, T-test..) 4.5.2005IX Covariates18.5.2005X Gaussian fields Theory25.5.2005XI Specific experiment design and analysis1.6.2005XII Specific experiment design and analysis8.6.2005XIII Correction for multiple measurements15.6.2005XIV

4. Talk Layout Repetition of PET princinples Repetition of PET princinples PET image reconstruction -FBP PET image reconstruction -FBP Physics of NMR Physics of NMR Application to imaging of NMR -MRI Application to imaging of NMR -MRI

5. PET

6. Positron emission

7. PET

8. Coincidence Events 1 1. Detected True Coincidence Event 2 2. True Event Lost to Sensitivity or Deadtime 3 3. True Event Lost to Photon Attenuation 4 4. Scattered Coincidence Event 5a 5b 5a,b. Random Coincidence Event

9. Attenuation Correction

10. Filtered Back Projection

13. 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 ’ (,  ).

14. 2D Vs. 3D

15. Randoms

16. Scatters

17. Principles of MRI

18. Felix Bloch

19. Atoms

20. Spins

21. Precession

22. RF pulse

23. T1 and T2

26. Effect of tissue T1 and T2 CONSTANTS T2 Constants at 1.5 T Controlled by TE T1 Constants at 1.5 T Controlled by TR 85Fat 45860Muscle 90780White matter 100920Gray matter 14003000CSF

27. Slice selection

28. K space

29. K Space

30. NMR