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ListInterpolation
ListInterpolation[array]
constructs an InterpolatingFunction object that represents an approximate function that interpolates the array of values given.
ListInterpolation[array, {{xmin, xmax}, {ymin, ymax}, ...}]
specifies the domain of the grid from which the values in array are assumed to come.
Details and Options
- You can replace
etc. by explicit lists of positions for grid lines. The grid lines are otherwise assumed to be equally spaced. - ListInterpolation[array] assumes grid lines at integer positions in each direction.
- array can be an array in any number of dimensions, corresponding to a list with any number of levels of nesting.
- ListInterpolation[array, domain] generates an InterpolatingFunction object that returns values with the same precision as those in
. - ListInterpolation supports a Method option. Possible settings include
for spline interpolation and 
for Hermite interpolation.
Examplesopen all
Basic Examples (3)
Construct an approximate function that interpolates the data:
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Apply the function to find interpolated values:
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Plot the interpolation function:
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Compare with the original data:
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Construct an approximate function with the x values equally spaced on the interval 
:
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Apply the function to find interpolated values:
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Plot the interpolation function with the original data:
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Construct an approximate function that interpolates the values from an array of values:
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Plot the function with the original data:
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