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## Interpolation of Multiple 1-D Value Sets

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

Define the x-coordinates that are common to all values sets.

`x = (1:5)';`

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

`V = [x, 2*x, 3*x]`
```V =
1     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 the x-coordinates for V, and samplePoints{2} contains the y-coordinates. The orientation of each coordinate vector does not matter.

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

`F = griddedInterpolant(samplePoints,V);`

Create a 2-D query grid with 0.5 spacing along x over all columns of V.

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

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

`Vq = F(queryPoints)`
```Vq =
1.0000    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```

## Related Examples

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