interpn vs griddata: how are results different?

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Tahariet Sharon
Tahariet Sharon 2020-8-10
评论： Tahariet Sharon 2020-8-11
Starting off from here:
A=data;
[X,Y,Z]=ndgrid(1:61,1:73,1:61);
x2=linspace(1, 61, 31);
y2=linspace(1, 73, 37);
z2=linspace(1, 61, 31);
[X2 Y2 Z2]=ndgrid(x2, y2, z2);
How are these variables below different? The correlation between data1 and data2 is r=.97.
data1=interpn(X2,Y2,Z2, A, X, Y, Z, 'linear');
data2=griddata(X2,Y2,Z2,A,X,Y,Z,'linear');
Thank you!

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回答（1 个）

Bruno Luong
Bruno Luong 2020-8-10
Mathematical, in short the difference is
  • INTERPN uses tensorial linear function on nd-hypercube that enclose the query point.
  • GRIDDATA uses linear function on nd-simplex the query point
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Bruno Luong
Bruno Luong 2020-8-11
编辑：Bruno Luong 2020-8-11
INTERPN is faster and provides interpolation result more smooth (C1-discontinuouson smaller set) and better symmetric (invariant if you exchange coordinates) than GRIDDATA. If you have initial point on grid use INTERPN.
Use GRIDDATA only when you can't use the other (scattered data).

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