how can I write code for finding band depth of a parabola which is going from three points (7.8 0.96), (8.25 0.99) and (8.55 0.94)?
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You can get the coefficients of the formula using polyfit(). It's so really really easy that I shouldn't have to even give you the code. Just look at the help for polyfit(). After that just use whatever formula you have for "band depth". By the way, why did you tag this "image processing"?