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A three-dimensional closed surface, I want to use a across the surface of the best fitting straight

Time:12-02

Do creatures, and there is a large fiber bundles, the shape is a snake, now want to send this list to synthesize a curve of fiber bundles, which I want to the fiber direction of the largest, personal think is a regression problem, is defined as how to find a curve to make the surface of the closed surface projection on this curve is the largest, don't know how yao people encountered similar problems, personal use python, but no algorithm, so there is no code, thank you very much!
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