Interpolating A Data Set
A data set, for, can be interpolated by applying the above procedure on each interval, where the tangents are chosen in a sensible manner, meaning that the tangents for intervals sharing endpoints are equal. The interpolated curve then consists of piecewise cubic Hermite splines, and is globally continuously differentiable in .
The choice of tangents is non-unique, and there are several options available.
Read more about this topic: Cubic Hermite Spline
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