Apriltag pose detection on curved surface

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I am using apriltag to detect fiducial markers and estimate the pose of the marker. I intend to use the markers on curved surfaces however apriltag seems to not be able to estimate curved markers very successfully (e.g. on a coffee mug). Is there any way I could try of estimating the pose of a marker on a curved surface? I have seen some custom markers that are designed for curved surfaces but the code isn't open source.

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The above gif is an example I recorded of apriltag struggling with curved surfaces.

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