Quantify the similarity/dissimilarity of two surfaces

I created a mesh by straightening the boundary curves (naked edges) of a surface. I need to quantify the deviation (or difference) between the original surface(green) and the new simplified mesh(red)—specifically, how similar or dissimilar the two objects are.

I attempted to use Divide Curve to sample points(red points) on the mesh’s naked edge and then used Closest Point on Surface to calculate the distance(red lines) from these points to the original surface. However, the error is too large and the method is too rudimentary.

Are there any more conventional or professional method for accurately assessing this geometric similarity/dissimilarit

example.gh (18.4 KB)

You could try:

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Thank you, this really points me in the right direction.