Thanks a ton people!!!

ExtremelyRandomizedTrees.jl: Might be really good, but errored a lot on 
version 4.
ApproXD.jl: Very cool, I'll come back to that later, but for now: "What 
Lininterp cannot do: Multidimensional extrapolation" which I need (and 
accept is prone to silliness). Plus, according to the examples, the known 
xdata needs to be on a grid. My x,y,z are not equally spaced that way, they 
are scattered.
compute the distances: I started with that, and in light of these results I 
might fall back to doing just that. 
Polyharmonic Splines: does exactly what I want, but not faster than just 
distances (but probably a lot more accurate). 
CHull.jl: might be awesome for this, but I didn't quickly see how I can use 
it to interpolate and extrapolate.

I feel like I owe you guys some background: I have some color-map functions 
that take a value, let's call it X (for some 0<X<1 and for some 
-pi/2<X<pi/2) and return an RGB. I need to use these to convert images that 
have colors that are similar (but not always identical) to the RGB values 
from these color-maps back to the value (X) that would have resulted in 
said RGB (so it's like the inverse of those color-map functions). After 
much trial and error, I think that since the images I want to convert this 
way are all 8-bit, the fastest way would be to construct a lookup table for 
all 2^(8*3) possible RGB combinations. This table (Dict) will take any RGB 
value from those images I need to convert and return X. This makes sense 
because I have only 4 such color-map functions, and potentially endless 
amounts of images to convert (currently a couple of tera). 
So I think I'll use simple distances, run that once, save those lookup 
tables and use them again and again on new images. 




On Thursday, May 14, 2015 at 4:19:18 AM UTC+10, Luke Stagner wrote:
>
> You can use Polyharmonic Splines 
> <http://nbviewer.ipython.org/gist/lstagner/04a05b120e0be7de9915>
>
>
> On Wednesday, May 13, 2015 at 5:33:08 AM UTC-7, Yakir Gagnon wrote:
>>
>> I have a bunch (~1000) of x,y,z and a corresponding value, V. One unique 
>> V for each x,y,z. I want to interpolate and extrapolate "wildly" (so I 
>> really don't care about how accurate or correct it is). The x,y,z I have 
>> are not regularly spaced or anything. They're scattered across some range 
>> (they all share similar ranges), and I want to know what value (i.e. new V) 
>> I should be getting at new and regularly spaced x,y,z. I think 
>> Matlab's griddata would do what I want.
>> I tired following the "lower-level" functionality from Grid.jl, 
>> Interpolations.jl, and Dierckx.jl, but couldn't figure out how to get this 
>> to work. 
>> I think I need to fit some curve to my scattered points and then use that 
>> to find the values at the new xyz (at least that's how I think griddata 
>> works)... Any good simple ideas out there?
>>
>>

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