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https://issues.apache.org/jira/browse/MATH-1650?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=17628306#comment-17628306
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Michael Scholz commented on MATH-1650:
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Thanks Gilles for your feedback! My initial thought was to sketch this new 
class in order to get a general first feedback if this approach is viable from 
the design perspective (subclass with overloaded {{interpolate()}} function). 
If it complies with your expectations, I can start working on tests :)

> Add clamped spline interpolation
> --------------------------------
>
>                 Key: MATH-1650
>                 URL: https://issues.apache.org/jira/browse/MATH-1650
>             Project: Commons Math
>          Issue Type: New Feature
>    Affects Versions: 4.X
>            Reporter: Michael Scholz
>            Priority: Minor
>              Labels: Polynomials, interpolation, spline
>         Attachments: 2022-10-05_ClampedSplineInterpolator.patch
>
>
> We would like to contribute a new _clamped_ spline interpolation function in 
> addition to the already available unclamped spline function. Our new 
> {{ClampedSplineInterpolator}} is based on the same textbook as the original 
> {{{}SplineInterpolator{}}}. The clamped spline offers additional 
> parameterisation of starting and ending slopes (1st derivatives) as boundary 
> conditions in order to provide more flexibility in spline creation.
> In this patch we follow the approach of subclassing the original 
> {{SplineInterpolator}} and simply overloading it's {{interpolate()}} function 
> by these two additional parameters. Is this an acceptable way or does the 
> community recommend a different design approach?
> After clarifying the basic implementation approach we could also supply 
> necessary tests etc. and finally contribute everything via ordinary GitHub 
> pull request.
> Refer to our post on the dev mailing list: 
> https://lists.apache.org/thread/34qnx4tgjbyv345lgmd57g0bnlnwdzc8
>  



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