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Optimum knots that represent a curve http://forum.alglib.net/viewtopic.php?f=2&t=579 |
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Author: | mhavel [ Tue May 15, 2012 8:55 pm ] |
Post subject: | Optimum knots that represent a curve |
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. |
Author: | Sergey.Bochkanov [ Thu May 17, 2012 5:53 am ] |
Post subject: | Re: Optimum knots that represent a curve |
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 |
Author: | mhavel [ Sun May 20, 2012 2:22 am ] |
Post subject: | Re: Optimum knots that represent a curve |
Ok, thanks for you answer. I'll do it in another way. |
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