[Scilab-users] "Smoothing" very localised discontinuities in curves.

[scilab.20.browseruk at xoxy.net]

HI,

The data I'm dealing with is experimentally produced; and thus contains occasional, localised discontinuities (inflections), that I need to remove before that data is suitable for is use in FEM modeling software, which requires that it be strictly monotonic. The attachment shows the full curve plus a close up of a couple of examples of the type of discontinuity I need to deal with.

I haven't yet decided whether to simply omit points (thus connect A to F & G to J) or whether to retain the same number of points by interpolating new points onto that line as shown in red.

I've looked and played several of the smoothing, convolution and interpolation routines that scilab provides, but (besides that I don't understand the output some of them produce) they also seem to affect the data more than I would like. Some seem to introduce a 'phase shift'; others smooth out larger scale bumps in the curve that need to be retained; and others generate many extra points which I don't think is helpful, the FEM software is going to do its own interpolations anyway.


But the bit I'm asking about here is how to detect point A&F and G&J? 

Any thoughts or pointers as to a) the algorithm to use; b) how to implement it in SciLab?

Cheers, Buk.

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