POV-Ray : Newsgroups : povray.advanced-users : Curve fitting a function with a cubic spline : Re: Curve fitting a function with a cubic spline Server Time
29 Jul 2024 14:22:44 EDT (-0400)
  Re: Curve fitting a function with a cubic spline  
From: Tor Olav Kristensen
Date: 17 Jan 2002 18:59:58
Message: <3C476509.937360DC@hotmail.com>
Christopher Johnson wrote:
> 
> I've been searching around the web on this one and I'm stumped
> 
> Say I have a function that is continuous between two defined points.  Which
> method should I use to pick control points to fit a cubic spline to the
> function.  I've found information on the least squares method but I'm not
> entirely sure how to proceed.  The function is two dimensional.  0 to 1 on
> the x axis and 0 to 1 on the y.  The function plots are close to linear from
> (0,0) to (1,1) with a small amount of drift that can't be ignored.  It's the
> deviation from linear that I'm interested in so i can't just assume it's
> linear.  It may be that I've just stared at the problem blindly for too long
> but any help would be appreciated

Unfortunately I don't have to to investigate
this, but you can try this search:

http://www.google.com/search?hl=en&q=curve+fitting+3rd+degree+polynomial+%22cubic+spline%22

Btw.:
Are you thinking of using _one_ or _several_
cubic splines to interpolate the function ?


Tor Olav


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