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Here there are two methods you can do


1-convert contour1 to image using drawContour drawcontours

2-convert contour2 to image using drawContour

3-use find keypoints and feature matching , this method is rotation invariant you can follow the following example Feature Matching with FLANN

Method 2

1-You can extract features for the two contours using rotation invaraint feature such as HuMoments HuMoments

2-Compare the two moments if the distance is small the two objects are similar