In the mathematical subfield of numerical analysis a cubic Hermite spline (also called cspline), named after Charles Hermite, is a third-degree spline with each polynomial of the spline in Hermite form. The Hermite form consists of two control points and two control tangents for each polynomial.
For interpolation on a grid with points for, interpolation is performed on one subinterval at a time (given that tangent values are predetermined). The subinterval is normalized to via .
Read more about Cubic Hermite Spline: Interpolating A Data Set, Interpolation On The Unit Interval Without Exact Derivatives
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—Robert Benchley (1889–1945)