Interpolation On The Unit Interval Without Exact Derivatives
Given p-1, p0, p1 and p2 as the values that the function should take on at -1, 0, 1 and 2, we can use centered differences instead of exact derivatives. Thus the Catmull–Rom spline is
for, where the left-hand vector is independent of the p.
This writing is relevant for tricubic interpolation, where one optimization requires you to compute CINTx sixteen times with the same x and different p.
Read more about this topic: Cubic Hermite Spline
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