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- Question : q1 - a) In the context of X-ray CT explain the term projection. b) Describe the method of simple backprojection. c) State the central slice theorem and explain how it may be used to reconstruct tomographic images. (see Appendix B)
- Question : q2 - A phantom object used to check X-ray CT consists of a solid cylinder of bone of radius R cm, embedded in a very weakly attenuating block of resin. Show that the path length L, of an X-ray beam passing across the cross-section of the cylinder, a distance x from the cylinder axis is given by: L =2 R2 ?x2 Sketch the profile of a projection obtained by scanning a pencil beam across the diameter of the cylinder and use a superposition principle to deduce, without further calculation, the profile of a hollow cylinder with inner and outer radii 5 and 8 cm.
- Question : q3 - A square chessboard, 0.25 m on a side, has 64 equal adjacent alternating black and white squares. What are the lowest and the most probable spatial frequencies associated with the board?
- Question : q4 - The empty reconstruction matrix for a cross section of the human thorax consists of a square array of 512
- Question : q5 - The detectors used in a certain CT machine have a width w. How many samples are required to obtain the highest possible resolution in a projection of an object with a maximum dimension D?

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