You are designing a CT scanner. You always use the rules M = D = J and You want a...

You are designing a CT scanner. You always use the rules M = D = J and You want a circular field-of-view (FOV) having a 60 cm diameter, so your image will be a square with 60 cm sides.

(a) You want your system to be able to resolve two point sources separated by 1 mm, to that at least one square pixel can always be put between them no matter what their orientation relative to the pixel area. What is the minimum number of detectors you must use?

You decide to use 925 detectors, each 0.8 mm wide and fit side-by-side on a line. You decide to place the x-ray source 180 cm away from the center of the detector array (orthogonal to the array, of course).

(b) Will your FOV fit within the fan? Explain your answer.

Suppose and suppose there are an average of 1.5 × 10¹¹ photons hitting the detector array for each projection.

(c) What is the approximate SNR in dB of a tumor mass whose linear attenuation coefficient is 0.25cm⁻¹