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.
How would you go about deriving something like this? Also how would you prove that it's a basis?
Do we use cubics for this for the same reason that the cubic is used for the 2D version?
@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.