Multivariate interpolation?

[William Pietri]

Hi! After reading this page:

https://github.com/scalanlp/breeze/wiki/Interpolation

I'm left with a question. It says that one can do interpolation for both one and many dimensions. However, it only explains the one-dimensional case.

My hazy suspicion is that I can do multivariate interpolation through the magic of universal functions. But since my math-fu is weak, I can't figure out how. Would anybody have an example handy?


As background, I'm trying to create an interpolator that will map time to positions along the CIE 1931 colorspace equal-energy curve:

http://en.wikipedia.org/wiki/CIE_1931_color_space#mediaviewer/File:CIE-1931_diagram_in_LAB_space.svg

And if I get ambitious, I might try to add a brightness dimension, but for now I can model that with a separate one-dimensional interpolator.


Thanks,

William

[David Hall]

Hi William,

We don't have and kind of multivariate interpolation right now. It would be nice to have though!

-- David

[William Pietri]

That's helpful, thanks! I have updated the wiki page to hopefully be more clear to novices that multivariate interpolation is something down the road.

Since I can't map t -> x,y, I'll try mapping t -> x -> y and see where that gets me. Thanks for making breeze; you've saved me half-assing my way through something that I only half understand.

William