Interpolation in mathematica?

Just use the standard Interpolation function: rsInterpolation = Interpolation@rs; PlotrsInterpolation@x, {x, 400, 700} If you want to fit a specific class of functions (such as a normal distribution), instead use FindFit.

1 @500 Please be aware that Interpolation obviously could not work as expected as an extrapolation. Try PlotInterpolationrs@x, {x, 1, 1000} to see this. It is not a flaw of this answer!

– belisarius Oct 10 at 20:08 @LeonidShifrin: Good catch. Edited. – Mechanical snail Oct 10 at 20:45 3 @Mechanicalsnail I don't think a fit with a normal distribution will be necessary here.

This looks like the sensitivity curve of the human eye (x-axis is wavelength in nm). – Sjoerd C. De Vries Oct 10 at 22:03 3 @LeonidShifrin Hmm.

I believe the imps of recursion are at work today. Comment: Remove this comment: remove this... – Daniel Lichtblau Oct 10 at 22:50 1 FixedPoint@Daniel's Comment#& , x – belisarius Oct 107 at 15:45.

If you need nice derivatives, you may do something like: interp = Interpolationrs, InterpolationOrder -> 3, Method -> "Spline" ShowPlot{interpx, 10 interp'x}, {x, MinFirst /@ rs, MaxFirst /@ rs}, PlotRange -> Full, ListPlot@rs Look at the difference in the derivative's behavior when you use the "Spline" Method: interp = Interpolationrs, InterpolationOrder -> 3, Method -> "Spline" interp1 = Interpolationrs, InterpolationOrder -> 3 ShowPlot{interp1'x, interp'x - .005}, {x, MinFirst /@ rs, MaxFirst /@ rs}, PlotRange -> Full.

The default order is 3 – yoda Oct 11 at 6:26 @yoda I know, but I feel more comfortable by specifying it. Just in case a future release changes that :) – belisarius Oct 11 at 11:53 Congratulations on the Gold Mathematica Badge! ## Party Blower ## – Mr.Wizard Oct 12 at 13:21.

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