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Ace

How would you go about deriving something like this? Also how would you prove that it's a basis?

JavaSwing

Do we use cubics for this for the same reason that the cubic is used for the 2D version?

qiqinl

@Ace It's a basis of polynomial space instead of function space. But since polynomial space is a dense subset of function space, you can approximate a function using a series of polynomials.