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mhavel
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Post subject: Optimum knots that represent a curve  Posted: Tue May 15, 2012 8:55 pm |
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Joined: Wed Mar 14, 2012 4:54 pm
Posts: 9
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Hi Sergey,
I'm looking for a way to get the optimum number of knots (and their position) to fully describe a curve without loosing information (especially when the the variations are rapid and strong).
Do you have any function that could help me in this task?
Regards.
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Sergey.Bochkanov
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Post subject: Re: Optimum knots that represent a curve Posted: Thu May 17, 2012 5:53 am |
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| Site Admin |
Joined: Fri May 07, 2010 7:06 am
Posts: 906
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No, there is no out-of-box support for such functionality. You may try to minimize interpolation error with respect to nodes locations. You will have following problem:
* optimization space - space of all possible nodes locations
* function being minimized - error of the interpolant built using given set of nodes
* additional penalty for having too close nodes is necessary
* optimization is performed using numerical differentiation
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mhavel
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Post subject: Re: Optimum knots that represent a curve Posted: Sun May 20, 2012 2:22 am |
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Joined: Wed Mar 14, 2012 4:54 pm
Posts: 9
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Ok, thanks for you answer. I'll do it in another way.
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