Interpolation of Multiple 1-D Value Sets

This example shows how to interpolate three 1-D data sets in a single pass usinggriddedInterpolant. This is a faster alternative to looping over your data sets.

Define thex-coordinates that are common to all value sets.

x = (1:5)';

Define the sets of sample points along the columns of matrix V.

V = [x, 2*x, 3*x]

V =5×31 2 3 2 4 6 3 6 9 4 8 12 5 10 15

Create a 2-D grid of sample points.

samplePoints = {x, 1:size(V,2)};

This compact notation specifies a full 2-D grid. The first element,samplePoints{1}, contains thex-coordinates forV, andsamplePoints{2}contains they-coordinates. The orientation of each coordinate vector does not matter.

Create the interpolant,F, by passing the sample points and sample values togriddedInterpolant.

F = griddedInterpolant(samplePoints,V);

Create a 2-D query grid with0.5spacing alongxover all columns ofV.

queryPoints = {(1:0.5:5),1:size(V,2)};

Evaluate the interpolant at thex-coordinates for each value set.

Vq = F(queryPoints)

Vq =9×31.0000 2.0000 3.0000 1.5000 3.0000 4.5000 2.0000 - 4.0000 6.0000 2.5000 5.0000 7.5000 3.0000 6.0000 9.0000 3.5000 7.0000 10.5000 4.0000 8.0000 12.0000 4.5000 9.0000 13.5000 5.0000 10.0000 15.0000

See Also

griddedInterpolant

Related Topics

• Interpolation with the griddedInterpolant Class