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For example, I have points
Y X
100 50
90 43
80 32
need to solve for y = 50
or
Y X
1/1/2009 100
1/3/2009 97
1/4/2009 94
1/5/2009 92
1/6/2009 91
1/7/2009 89
need to solve for y = 1/23/2009
The one I use is the numerics component of Math.NET http://numerics.mathdotnet.com/
It contains “various interpolation methods, including barycentric approaches and splines”.
But as the saying goes, there are lies, damn lies and bicubic spline interpolations.