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1/ @FreyaHolmer

an interpolating C² continuous quintic spline

2/ @EricLengyel

@FreyaHolmer

Cool! What additional constraints beyond C² continuity are you imposing to eat up the additional degrees of freedom for the quintic compared to the cubic?

3/ @FreyaHolmer

@EricLengyel

C2 continuity and local control!

unlike the cubic B-spline, it’s interpolating, unlike the cubic catmull-rom, this one is C2 rather than C1, and unlike the natural cubic C2 spline, this one has local control

4/ @FreyaHolmer

@EricLengyel

wait I just realized I have enough degrees of freedom to make it C3 lol

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