The method for computing the control tangent at a given index.
Interpolation is a method of constructing new data points within the range of a discrete set of known data points.
Cubic Hermite spline interpolation is a piecewise spline interpolation, in which each polynomial is in Hermite form which consists of two control points and two control tangents.
The (natural) cubic spline interpolation fits a cubic polynomial between each pair of adjacent points such that adjacent cubics are continuous in their first and second derivative.
Divided differences is recursive division process for calculating the coefficients in the interpolation polynomial in the Newton form.
(Piecewise-)Linear interpolation fits a curve by interpolating linearly between two adjacent data-points.
Newton polynomial is the interpolation polynomial for a given set of data points in the Newton form.
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