How to extract curves from edges of a complex image

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Hello, I have an image of a car door. I have taken a photo of it and extracted all the edges in the image using savitky_golay filter. Now that I have all the edges I nned to extract curves from the edges. I have no idea how to proceed further.
I need all the edges of the images as curves. Please help me out.
For example,
Thanks in advance.

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