Image Processing: Quantifying roughness of a shape compared to a smooth shape

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I am trying to find the roughness of shapes in an image. I have found the contours and used simplification.cutil.simplify_coords_vwp(contour,1000) to calculate a polygon that I want to use as the "smooth" shape (this is similar to the more commonly used "Douglas-Peuker" algorithm). These shapes have ~13 points to them giving leeway to any bends. This is done for all of the shapes present in the full image.

The images below show the full image I want the roughness of and a zoomed in image showing what I am trying to calculate. I want to quantify the black inside of the lines and the white outside of the lines, giving a quantity to the amount of roughness. I didn't post the code because it would be a lot of extra information, I am only looking for help conceptualizing what modules could be useful here.

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