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Quality of Aruco Marker Estimate

I have a problem with the cv::aruco::detectMarkers sometimes gives quite boot estimates for the border of the marker. I can generally tune the detection parameters to get a good fit, but would very much like if I somehow could get an estimate of the quality of the fit, thereby allowing the application to automatically reject poor estimates.

Any suggestions for how to obtain such a measure of quality. I have been looking into using the number of rejectedPoints, but it does not appear to be consistent with the kind of errors I occasionally see in the detection.