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detect point of interest on boundary of an object

Hi,

I have boundaries of semi-circle or eclipse shaped objects. Example images are

image description image description

The boundary are not smooth and often slightly jagged (when you zoom in). I am looking to detect a point of interest (location x and y) on these boundaries, where we see a definite change in the shape, such as

image description image description

There can be two outputs:

  1. No point of interest as we cannot find a definite change
  2. Point of interest with x and y location

Currently, I am using Python and OpenCV. I cannot think of an effective and efficient way to solve this problem

Any guidance in this regard will be really appreciated