Faster interpolation than interp2 ?

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H ZETT M on 5 Dec 2016
Commented: Guillaume on 6 Dec 2016
Hey guys, I have a question. I am currently using interp2 for interpolation of single points on a grid. In my case it is
if true
So lat and lon are the sample grid points (this is how matlab calls it. they get created by meshgrid), u_now_flow is a flow field and b and a are vectors which look like this:
so the code is working fine, but I wanted to know if there are faster ways/functions to interpolate the points on a grid. I tried to use griddedInterpolant, but failed cause I always got NaN, but I have no idea why. I hope you can help me

Accepted Answer

Guillaume on 5 Dec 2016
griddedInterpolant may be marginally faster than interp2 since interp2 does a little bit of argument manipulation before finally using griddedInterpolant to do the heavy work. I wouldn't expect the difference to be significant enough that it'd matter.
There are no other interpolating methods in matlab that are faster.
Using griddedInterpolant, your code should be:
ginterp = griddedInterpolant(lat, lon, u_now);
k1u = ginterp(a, b); %assuming a and b are vectors of the same length and shape.
Guillaume on 6 Dec 2016
I'm not sure what that discussion in the doc of griddedInterpolant about meshgrid vs ndgrid is about. I doesn't matter which you use to generate the grid, as long as it's consistent with the data. In any case, i would always use ndgrid since it does not mix up two different coordinates systems.
Your first issue is indeed with the fact that your lat vector is strictly monotically decreasing instead of strictly monotically increasing. That is easily fixed, flip it up/down and, of course, do the same with the velocity map.
lat = flipud(lat);
u_now_flow = flipud(u_now_flow); %to reflect the ordering change on lat
Now, you can ndgrid your latitude, longitude and pass that to griddedInterpolant, if you wish:
[glat, glon] = ndgrid(lat, lon); %after lat has been flipped
interpolant = griddedInterpolant(glat, glon, u_now_flow); %after u_now_flow has been flipped
but you don't even need to grid the coordinates, if you use this syntax:
interpolant = griddedInterpolant({lat, lon}, u_now_flow); %after flipping
Demo code:
lat = (54.375 - (0:36)*0.05) .'
lon = (5.0417 + (0:22)*0.0533) .'
u_now_flow = exp(-bsxfun(@plus, (lat - 53.5).^2, (lon.' - 6).^2)); %nice surface for demo
interpolant = griddedInterpolant({flipud(lat), lon), flipud(u_now_flow));
interpolant(53.9603, 7.7076)
Note the order of inputs for the interpolant is latitude, longitude. Otherwise of course you get NaN since the coordinates are outside the grid.

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