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Calibrate at one resolution, remap at another resolution?

According to the docs, since the distortion coefficients do not depend on the resolution, I should be able to make use of the camera calibration data with a different resolution (from that which was used during calibration).

Unfortunately I haven't be able to make this work. Is there an example out there that makes use of initUndistortRectifyMap() and remap() when the original camera matrix and distortion coefficients were gathered at a different resolution from the image being passed to remap() ?