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https://issues.apache.org/jira/browse/MATH-1202?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=14320055#comment-14320055
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Gilles commented on MATH-1202:
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In order to extrapolate, you need additional information that is not part of 
the _definition_ of  the interpolation algorithm.
If you can provide the information, you can thus extend the interpolation 
domain with it, and then perform the interpolation.


> PiecewiseBicubicSplineInterpolatingFunction - allow to extrapolate
> ------------------------------------------------------------------
>
>                 Key: MATH-1202
>                 URL: https://issues.apache.org/jira/browse/MATH-1202
>             Project: Commons Math
>          Issue Type: Improvement
>    Affects Versions: 3.4.1
>            Reporter: dmitry dementiev
>              Labels: interpolation
>
> PiecewiseBicubicSplineInterpolatingFunction is not able to interpolate if the 
> value we want to calculate is out of the points/values. Other libs provide 
> functionality to make some extrapolation. 
> In geospatial analysis, for example it is a must have feature, because the 
> locations of points and values are almost always not at the border of the 
> shape that we want to interpolate.



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