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We estimate the accuracy of a 3D range scanner in terms of its spatial frequency response. We determine a scanner's modulation transfer function (MTF) in order to measure its frequency response. A slanted edge is scanned from which we derive a superresolution edge profile. Its Fourier transform is compared to the Fourier transform of an ideal edge in order to determine the MTF of the device. This allows us to determine how well small details can be acquired by the 3D scanner. We report the results of several measurements with two scanners under various conditions.