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https://issues.apache.org/jira/browse/MATH-737?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13200959#comment-13200959
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Leandro Ariel Pezzente commented on MATH-737:
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Thanks for your feedback and suggestions , Gilles. MultivariateInterpolator
interface really is better suited. I made the propper changes to this proposal.
This proposal is about obtainig an interpolated set , using Legendre
Polynomials. Given an arbitrary d dimensional interpolating points , i believe
you could obtain a Legendre Polynomials representation by incrementaly
iterationg over each dimension with the corresponding partial functions ( that
is using the LegendrePolynomialFunctionForm over the locally one dimensional
constrained dataset ) , albeit there could be a more efficient approach , since
the number of iterations grows with Gamma(d+1).
> Multi Dimensional Legendre Polynomials Interpolation Class
> ----------------------------------------------------------
>
> Key: MATH-737
> URL: https://issues.apache.org/jira/browse/MATH-737
> Project: Commons Math
> Issue Type: New Feature
> Affects Versions: 4.0
> Reporter: Leandro Ariel Pezzente
> Priority: Trivial
> Labels: Legendre, Polynomials
> Original Estimate: 0h
> Remaining Estimate: 0h
>
> Extend legendre Polynomial Interpolation Class to support Multi-dimensional
> sets of points. This Class would be implemented in analysis,interpolation
> package.
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