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bounding ellipse needed

Is there a method to get the bounding ellipse of a contour. I mean all the points should be inside the ellipse. fitEllipse get the best fitting ellipse,not the bounding ellipse.

bounding ellipse needed

Is there a method to get the bounding ellipse of a contour. I mean all the points should be inside the ellipse. fitEllipse get the best fitting ellipse,not the bounding ellipse.