[jira] [Created] (MATH-737) Multi Dimensional Legendre Polynomials Interpolation Class

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[jira] [Created] (MATH-737) Multi Dimensional Legendre Polynomials Interpolation Class

Gilles (Jira)
Multi Dimensional Legendre Polynomials Interpolation Class
----------------------------------------------------------

                 Key: MATH-737
                 URL: https://issues.apache.org/jira/browse/MATH-737
             Project: Commons Math
          Issue Type: Improvement
    Affects Versions: 3.0
            Reporter: Leandro Ariel Pezzente
            Priority: Trivial


Extend legendre Polynomial Interpolation Class to support Multi-dimensional sets of points. This Class would be implemented in Polynomials package.

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[jira] [Commented] (MATH-737) Multi Dimensional Legendre Polynomials Interpolation Class

Gilles (Jira)

    [ https://issues.apache.org/jira/browse/MATH-737?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13200921#comment-13200921 ]

Leandro Ariel Pezzente commented on MATH-737:
---------------------------------------------

I was thinking a good start would be defining the constructor as public PolynomialFunctionMultiLagrangeFunction( double [][] ... ) so you could pass an arbitrary dimensional { double x[] , double y[] } array elements where echa array represents the abscisas and interpolation points for each dimension , respectively.
               

> Multi Dimensional Legendre Polynomials Interpolation Class
> ----------------------------------------------------------
>
>                 Key: MATH-737
>                 URL: https://issues.apache.org/jira/browse/MATH-737
>             Project: Commons Math
>          Issue Type: Improvement
>    Affects Versions: 3.0
>            Reporter: Leandro Ariel Pezzente
>            Priority: Trivial
>              Labels: Legendre, Polynomials
>
> Extend legendre Polynomial Interpolation Class to support Multi-dimensional sets of points. This Class would be implemented in Polynomials package.

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[jira] [Commented] (MATH-737) Multi Dimensional Legendre Polynomials Interpolation Class

Gilles (Jira)
In reply to this post by Gilles (Jira)

    [ https://issues.apache.org/jira/browse/MATH-737?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13200938#comment-13200938 ]

Gilles commented on MATH-737:
-----------------------------

Hi.

This request seems more like a "new feature" rather than an "improvement". Could you please provide more details about it?
Note also that there is an "analysis.interpolation" package (that contains an interface for multidimensional interpolating functions) which might be better suited for your proposal.

               

> Multi Dimensional Legendre Polynomials Interpolation Class
> ----------------------------------------------------------
>
>                 Key: MATH-737
>                 URL: https://issues.apache.org/jira/browse/MATH-737
>             Project: Commons Math
>          Issue Type: Improvement
>    Affects Versions: 3.0
>            Reporter: Leandro Ariel Pezzente
>            Priority: Trivial
>              Labels: Legendre, Polynomials
>
> Extend legendre Polynomial Interpolation Class to support Multi-dimensional sets of points. This Class would be implemented in Polynomials package.

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[jira] [Updated] (MATH-737) Multi Dimensional Legendre Polynomials Interpolation Class

Gilles (Jira)
In reply to this post by Gilles (Jira)

     [ https://issues.apache.org/jira/browse/MATH-737?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel ]

Leandro Ariel Pezzente updated MATH-737:
----------------------------------------

           Description: Extend legendre Polynomial Interpolation Class to support Multi-dimensional sets of points. This Class would be implemented in analysis,interpolation package.   (was: Extend legendre Polynomial Interpolation Class to support Multi-dimensional sets of points. This Class would be implemented in Polynomials package. )
            Issue Type: New Feature  (was: Improvement)
     Affects Version/s:     (was: 3.0)
                        4.0
    Remaining Estimate: 0h
     Original Estimate: 0h
   

> 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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[jira] [Commented] (MATH-737) Multi Dimensional Legendre Polynomials Interpolation Class

Gilles (Jira)
In reply to this post by Gilles (Jira)

    [ https://issues.apache.org/jira/browse/MATH-737?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13200959#comment-13200959 ]

Leandro Ariel Pezzente commented on MATH-737:
---------------------------------------------

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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[jira] [Closed] (MATH-737) Multi Dimensional Legendre Polynomials Interpolation Class

Gilles (Jira)
In reply to this post by Gilles (Jira)

     [ https://issues.apache.org/jira/browse/MATH-737?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel ]

Leandro Ariel Pezzente closed MATH-737.
---------------------------------------


Issue needs to be discussed First
               

> 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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[jira] [Resolved] (MATH-737) Multi Dimensional Legendre Polynomials Interpolation Class

Gilles (Jira)
In reply to this post by Gilles (Jira)

     [ https://issues.apache.org/jira/browse/MATH-737?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel ]

Leandro Ariel Pezzente resolved MATH-737.
-----------------------------------------

    Resolution: Later

Issue needs to be discussed First
               

> 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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