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Re: [Help-gsl] monotone interpolation

From: Andrew W. Steiner
Subject: Re: [Help-gsl] monotone interpolation
Date: Fri, 2 Mar 2012 14:06:21 +0900

Hello all,

     Just in case it hasn't been said explicitly, a GSL interpolation type which
preserves monotonicity and keeps the same interface as the other GSL
interpolation types would certainly be welcome!

Take care,

On Fri, Mar 2, 2012 at 10:57 AM, Feng Chen <address@hidden> wrote:
> How about this one? (The green curve does not look like monotonic to me
> though ... The blue curve is the reference you cited)
> monotonicity preserving cubic interpolation
> piecewise monotonic cubic interpolation
> On Thu, Mar 1, 2012 at 1:30 PM, Christian Krueger <address@hidden>
> wrote:
>> Hi... is there any possibility to get a strictly monotone interpolation
> function?
>> I have data which for sure have to be monotone, but the provided
> interpolation methods (cspline, akima) do not preserve this condition
> (linear interpolation is not smooth and polynomial of course useless with
> 200+ datapoints).
>> I wonder whether the method of Steffen (1990) is implemented somewhere
> which seem to have some nice features (monotonicity, almost no spurious
> oscillations)? Or might it be a useful extension for GSL?
>> Found in this paper: A simple method for monotonic interpolation in one
> dimension, Astron. Astrophys. 239, 443 (1990)
>> Regards,
>> Christian

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