High Quality Content by WIKIPEDIA articles! In the mathematical subfield of numerical analysis a cubic Hermite spline (also called cspline), named in honor of 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 xk for k = 1,...,n, interpolation is performed on one subinterval (xk,xk + 1) at a time (given that tangent values are predetermined). The subinterval (xk,xk + 1) is normalized to (0,1) via t = (x ? xk) / (xk + 1 ? xk).

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