Infographics / Image Quality

MTF, Nyquist & the frequency-domain description of resolution

A graph of modulation transfer function (MTF, the ratio of output to input modulation, from 0 to 1) against spatial frequency in line pairs per millimetre. Both curves start at MTF equal to 1 at zero frequency and fall towards 0 as frequency rises. The higher teal curve (a detail film–screen system) stays above the lower curve (computed radiography), crossing a 10 percent limiting-resolution guide at about 10 line pairs per mm, whereas computed radiography crosses at about 5 line pairs per mm. A higher curve retains more contrast for fine detail, meaning better resolution. Below, a line-pair test strip shows bar patterns getting finer towards the right.

Modulation transfer function versus spatial frequency A graph of modulation transfer function (MTF, the ratio of output to input modulation, from 0 to 1) against spatial frequency in line pairs per millimetre. Both curves start at MTF equal to 1 at zero frequency and fall towards 0 as frequency rises. The higher teal curve (a detail film–screen system) stays above the lower curve (computed radiography), crossing a 10 percent limiting-resolution guide at about 10 line pairs per mm, whereas computed radiography crosses at about 5 line pairs per mm. A higher curve retains more contrast for fine detail, meaning better resolution. Below, a line-pair test strip shows bar patterns getting finer towards the right. Modulation transfer function vs spatial frequency 1.0 0.5 0 0 2 4 6 8 10 12 5 spatial frequency (line pairs per mm) modulation transfer function ≈10% MTF: limiting resolution MTF = 1 at zero frequency film–screen keeps higher MTF → better resolution (finer detail) detail film–screen (~10 lp/mm) computed radiography (~5 lp/mm) line-pair test: bars get finer (higher lp/mm) rightward; resolved only while MTF stays above ~10%

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