Extrapolation of a 2D data table with 3 input variables

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Crystal Green
Crystal Green 2020-1-24
评论： Crystal Green 2020-1-28
I have a table 'V' that is m x n dimensions. However, the m dimension is dependont on (x,y) and the n dimension is dependent on z. I am able to interpolate data in the table by using griddata. Where
griddata(x_grid, y_grid, z_grid, V)
x_grid, y_grid_ and z_grid are mxn double arrays that contain the specific x y and z coordinates.
Griddata allows me to interpolate between points within the dataset but I would also like to extrapolate data as well. Any help would be greatly appreciated. I have had no luck with griddedInterpoant or scatteredInterpolant: I get the following errors:
griddedInterpolant(x_grid,y_grid,z_grid,V, 'linear', 'linear')
"Error using griddedInterpolant
The number of input coordinate arrays does not equal the number of dimensions (NDIMS) of these arrays"
K>> scatteredInterpolant({x_grid,y_grid,z_grid},V)
Error using scatteredInterpolant
The input points must be a double array.
.

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回答（1 个）

Githin John
Githin John 2020-1-27
The scatteredInterpolant function takes the x_grid, y_grid and z_grid inputs as column vectors. You can provide the inputs in that form rather than a mxn array.
For griddedInterpolation, the x_grid, y_grid and z_grid values should be something like those generated using ndgrid.
For more information on the format of inputs, you can check the examples section in the documentation.
  1 个评论
Crystal Green
Crystal Green 2020-1-28
I have tried scatteredInterpolant using column vectors. I get the following error
Error using scatteredInterpolant
Data point coordinates have inconsistent dimension.
I have also tried griddedInterpolant usign the x_grid, y_grid and z_grid inputs which are in in the ndgrid format
Error using griddedInterpolant
The number of input coordinate arrays does not equal the number of dimensions (NDIMS) of these arrays.
And I have run everything using the ndims command and all are the same number of dimensions so I'm not sure why it is not working

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