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Re: How do you find curvature of "splattered" data?


From: Quentin Spencer
Subject: Re: How do you find curvature of "splattered" data?
Date: Mon, 13 Mar 2006 15:05:19 -0600
User-agent: Mozilla Thunderbird 1.0.7-1.1.fc4 (X11/20050929)

Robert A. Macy wrote:

I have data that is "splattered", which means that both the
ordinate and the abscissa have noise.  Actually, the data
is the real and imag part of a function of an exact
variable.

In Oct 2004, Rafael Laboissiere gave me some formulas using
svd(cov()) that worked very well to find the mean and the
slope of splattered data.
Is there some simple octave function I can use to find
curvature?  In other words, find the mean, slope, *and*
curvature.

What do you mean by curvature? Are you trying to model the data as fitting a circular arc and want to know the radius? You could also model the data as quadratic (or any higher degree polynomial for that matter). I imagine that this would be a relatively straightforward extension of the linear model you are now using.

-Quentin



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