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 Smooth linestrings

Theres any algoritm to get smooth linestring coordinates (red line) from original linestring coordinates (green line)???

See image, please:

This doesn't seem to be Python-specific. Are you aware of, generally, an algorithm that you could try implementing in Python?
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Those look to be Bezier curves. A web search on "python bezier curves" comes up with a few items on Stack Overflow showing how to implement them with NumPy and SciPy.
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Yes, there are algorithms to smooth Bezier curves:
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