Freya Holmér on Continuity of Splines
This whole thing is brilliant!
I found it made me think about physics quite hard. The bit at 28:04 on geometric continuity was a real eye-opener for me. Also (24:49) the analyticity of Bézier cubic splines and the chaotic behaviour outside the interval t ∈ [0,1].
See also Freya Holmér - The Beauty of Bezier Curves.
She also livestreams math classes for game developers. Here's her latest https://futuregames.se/ class on abstract algebra, interpolation and splines.
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