1. Lecture 39: Review for Final Final Thursday, May 6 __ Time 4:30 to 6:30 Location Research Room, First Floor, ECB Open book Open note Calculator may be necessary. Laptops OK for looking at class notes.

2. Review - Fourier Theory Fourier Theorem - Scaling - Shift - Convolution - Sampling - Zeroth moment

3. Review - Medical Imaging Systems - X-ray X-Ray - Minimal material on final (was emphasized on midterm) - No recorder aspects - impulse response or SNR Ch.4 4.22 z d

4. Review - Medical Imaging Systems - Ch. 5-7 Ch. 5 - Covered on midterm Ch.6  = screen efficiency A = area of pixel R = dose t = transmission Ch. 7 C.T. Projection Slice Theorem Be able to feel, smell, touch, see and hear this theorem.

5. Review - Medical Imaging Systems - Ch. 7, continued Filtered Back Projection 7.54 Filtering Function: SNR 7.95 oo -o-o where w = width of pixel h = slice thickness M = number of projections C = contrast = average attenuation

6. Review - Medical Imaging Systems - Ch.8: Nuclear Medicine Nuclear Medicine No pinhole camera questions No anger camera questions Parallel Hole Collimator 8.32 w = spacing of holes  a autocorrelation - same as convolution of aperture with itself for symmetric apertures. d L z

7. Review - Medical Imaging Systems - Ch.8, continued Efficiency 8.33 8.37 M = 1for parallel hole system A = area of picture element We will assume region where source can be imaged by only one hole.

8. Review - Medical Imaging Systems - Ch.9: Ultrasound Equations 9.2-9.5 - Geometric ultrasound Fresnel Diffraction: General - where in z is it valid? Relative to Fraunhofer. Fig. 9.8 Approximate field patterns for different transducer sizes. Image, caption: copyright Macovski

9. Review - Medical Imaging Systems - Ch.9, continued Fraunhofer - key to Phased Array Imaging SNR(Eq.) 9.66 General- Cause of speckle SNR basics (source of noise)

10. Review - Medical Imaging Systems - Ch.10 Phased Array Ultrasound - Will keep in mind that we had no homework on this - Eqn. 10.11

11. Review - Medical Imaging Systems - Ch.10, continued Fig. 10.5 - Understand the impulse response, its derivation, and the effects of changing each parameter. Image, caption: copyright Macovski Far-field pattern for a linear array. Methods of Deflection and Depth Focus - understand in general terms

12. Review - Nishimura: Magnetic Resonance  = sometimes in radians, sometimes in Hz 3.3 Understand what each term does.

13. Review - Nishimura: Magnetic Resonance (2) Longitudinal Relaxation Transverse Relaxation Signal Equation - Ch.5

14. Review - Nishimura: Magnetic Resonance (3) - Projection Reconstruction trajectories - 2D Fourier Transform trajectories - readout, phase encode For given FOV and resolution, sample interval, determine gradient amplitude.