Infographics / Nuclear Medicine

Collimator resolution vs sensitivity tradeoff

Two gamma-camera collimator geometries compared. Left: narrow, long holes give a small acceptance angle, so only near-vertical photons reach the crystal — a narrow blur (better spatial resolution) but few photons (lower sensitivity). Right: wide, short holes give a large acceptance angle, so many photons pass but over a wide blur — worse resolution but higher sensitivity. A lower panel shows the same collimator with the source moved further away, where the blur widens, so resolution degrades with distance. Relations: geometric resolution Rcoll is proportional to d(L+z)/L and sensitivity is proportional to d to the fourth over L squared, where d is hole diameter, L is hole length and z is source-to-collimator distance.

Parallel-hole collimator: the resolution–sensitivity trade-off Two gamma-camera collimator geometries compared. Left: narrow, long holes give a small acceptance angle, so only near-vertical photons reach the crystal — a narrow blur (better spatial resolution) but few photons (lower sensitivity). Right: wide, short holes give a large acceptance angle, so many photons pass but over a wide blur — worse resolution but higher sensitivity. A lower panel shows the same collimator with the source moved further away, where the blur widens, so resolution degrades with distance. Relations: geometric resolution Rcoll is proportional to d(L+z)/L and sensitivity is proportional to d to the fourth over L squared, where d is hole diameter, L is hole length and z is source-to-collimator distance. Parallel-hole collimator: the resolution–sensitivity trade-off Narrow, long holes NaI(Tl) crystal septa absorb oblique photons θ point source Rcoll better resolution · lower sensitivity Wide, short holes NaI(Tl) crystal θ point source Rcoll worse resolution · higher sensitivity Resolution degrades with distance near source sharp far source blurred z increases Governing relations Rcoll ≈ d (L + z) / L geometric resolution S ∝ d⁴ / L² collimator sensitivity d hole diameter · L length · z source distance Sharper resolution (smaller d, longer L) always means lower sensitivity — geometry cannot improve both.

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