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From: "Bruno Luong" <b.luong@fogale.findmycountry>
Newsgroups: comp.soft-sys.matlab
Subject: Re: interpolating/smoothing w/ monotonically increasing
Date: Thu, 30 Oct 2008 19:14:03 +0000 (UTC)
Organization: FOGALE nanotech
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"Pete sherer" <tsh@abg.com> wrote in message <ged003$oi7$1@fred.mathworks.com>...
> Hi,
> 
> Are there anyway or function that can perform an interpolation or smoothing of data such that the output will be monotonically increasing, even some portion of data don't support so.
> 
> x=[0.1;0.2;0.3;0.4;0.5;0.6;0.7;0.8;0.9;1;];
> y=[183.6992;347.6811;184.4308;199.1481;308.3963;453.1903;490.1048;558.374;613.4362;623.4727;];
> 
> I prefer the dipping part to be simply ignore during interpolation if possible.
> 
> Thanks for any suggestions and hints

I believe this kind of problem can be rewritten as least-square minimization (fit) with linear constraints.

Bruno