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Multi-Dimensional Interpolation #22

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jbpezent opened this issue Feb 28, 2023 · 7 comments · Fixed by #48
Open

Multi-Dimensional Interpolation #22

jbpezent opened this issue Feb 28, 2023 · 7 comments · Fixed by #48
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@wgledbetter @jdsikes1
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enhancement New feature or request

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@jbpezent
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jbpezent commented Feb 28, 2023 •
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At present, we support interpolating tabular data defined on 1 and 2 dimensional grids. We should add support for N-dimensional grids.
This should probably be done as two new separate classes for 3-d and N-d grids. I'd imagine that there is a cleaner/more efficient algorithm for the 3d case that would merit a standalone implementation, and that we could get out the door quicker. @jdsikes1 , this aligns with your current work so you get this one.
@jbpezent jbpezent added the enhancement New feature or request label Feb 28, 2023
@jbpezent
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jbpezent commented Mar 8, 2023 •
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@jdsikes1 , while making some improvements to the 1 and 2D interpolators, I went ahead and implemented the 3D interpolator class in #23. Implementation is based on the paper below.

link

May be of use to you in the N-d case.

@wgledbetter
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I'm planning to add Kriging and Radial Basis Functions from my old dissertation branch sometime in the next month-ish.

@wgledbe
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wgledbe commented Jun 29, 2023

N-dimensional splines complete in C .

@wgledbe
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wgledbe commented Jul 7, 2023

Second derivatives implemented and (mostly) verified for Radial Basis Functions and Kriging.

@jbpezent
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@wgledbe I'll go ahead and 4-d splines to hold us over until N-d are ready.

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wgledbe commented Mar 12, 2024

Don't hold your breath.
Kriging and RBF are solid, but the current approach to ND splines may not be scalable.
Spline reference: http://www.cds.caltech.edu/~marsden/bib/2005/08-LeMa2005/LeMa2005.pdf

@jbpezent jbpezent linked a pull request Mar 18, 2024 that will close this issue
InterpTable4D #48
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@jbpezent jbpezent reopened this Mar 18, 2024
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4-D Spline tables implemented and merged. Usage is pretty much the same as the 3-D case.

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22-multi-dimensional-interpolation AlabamaASRL/asset_asrl
InterpTable4D AlabamaASRL/asset_asrl
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@wgledbetter @jbpezent @jdsikes1 @wgledbe