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by raphlinus 1274 days ago
Super good question. My thesis has both G2 and G4 continuous splines based on polynomial spirals ("spiro curves"), and the G4 definitely has more "wiggles," ie sensitivity to perturbations of the inputs. I imagine there is likely a general principle trading off locality with continuity, but am not able to quantify that rigorously.
1 comments

Hey Raph, thanks for the answer! Very interesting!