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Imagine the detector ring of a PET scanner is mapped to a unit circle centered at the origin - for instance, the right side

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Imagine the detector ring of a PET scanner is mapped to a unit circle centered at the origin - for instance, the right side of the detector ring is at radius 1 and angle 0 = 0, the top of the ring is at 0 = 90, left at 0= 180, etc. We detect 3 coincidences: 01 = 20 and 255, 0 = 100 and 300. What is the most likely location (x, y) of the tracer?

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