I cant figure out how do 1D interpolation with scattered data. I know how to get it working with 2D interpolation, but scatteredinterpolant only works with 2D or more. Thank you for your help!
MATLAB: 1D interpolation with non-monotonic scattered data
1dinterpolationscattered data non-monotonic
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From the documentation:
'spline':
‘Spline interpolation using not-a-knot end conditions. The interpolated value at a query point is based on a cubic interpolation of the values at neighboring grid points in each respective dimension.’
It does not appear to be the same as 'cubic'. According to the documentation, 'cubic' is currently the same as 'pchip'.
Your data are scattered, not gridded:
so you will need to use a scattered interpolant:
>> x1 = [1.5,0.8,1.25,1,0.75,0.625,1.375,0.5,1.125];>> x2 = [0.875,0.56,0.5,0.75,1,0.81,0.69,0.625,0.94];>> R = [25,24,21,26,28,29,26.5,26.6,26.1];>> F = scatteredInterpolant(x1(:),x2(:),R(:),'linear','linear');>> xq = 0.5:0.1:1.5;>> yq = 0.5:0.1:1;>> vq = F({xq,yq});And visualizing (note that input data which are not on the interpolation grid may appear to have different values from the plotted interpolated data, this is to be expected):
>> [xqM,yqM] = ndgrid(xq,yq);>> surf(xqM,yqM,vq)>> hold on>> scatter3(x1,x2,R,'filled')
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