Angle of Rotation of Circular Object in Z-angle

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Hello,
I want to calculate the angle of rotation of this circular object on the z plane (i.e., parallel to the image sensor's plane).
I have already tried the following: 1. I used the same algorithm as in the [ MATLAB example ][2]. I tried changing the features detected (SURF, BRISK, MinEigen) to find feature points. I did not get proper output, there were incorrect angles as result. I guess the problem with this was that not many feature points were detected on my wheel rim.
2. I tried to locate the notch (which I have circled in red for display) using normxcorr2(). If the notch's position is known, using geometry I can calculate the angle of rotation.
Here too, enough features are not detected therefore I am not able to determine the angle correctly. Sometimes there is false location detected for the notch.
Can you suggest any other method to calculate the angle of rotation?
Thanks

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