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Lecture 7: Geometry And Splines (38)
SeungjinYang

Hm, this is interesting. I guess what this is trying to do is show that a cubic can be defined with two endpoints and derivatives at those points, similar to how four points can be used to define a cubic. I like that hermite basis makes this fact pretty intuitive, as those points can just be passed in as inputs to a function that directly computes the cubic.

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