![]() I had to write it in German unfortunately (was for school) but the matrix might help you anyway. The matrix is filled like shown in that document on page 17. ![]() I have written a web tool that performs a cubic inteprolation and my approach was to calculate the coefficients by solving a matrix using the gaussian elimination. Usually the equations look like this (for example with the following set of points): Piecewise Polynomial Interpolation 3.1 Piecewise Linear Interpolation 3.2 Piecewise Cubic Hermite Interpolation 3.3 Cubic Splines An important lesson from Chapter 2 is that high-degree polynomial interpolants at equally-spaced points should be avoided.
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