How does the 'cubic' method for griddedInterpolant work?
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MathWorks Support Team
on 10 Jul 2017
Edited: MathWorks Support Team
on 25 Jun 2021
I would like more more information on the algorithm behind the 'cubic' interpolation used in the 'griddedInterpolant' function. I would also like to know whether it's possible to supply my own gradients to the function?
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MathWorks Support Team
on 25 Jun 2021
Edited: MathWorks Support Team
on 25 Jun 2021
The ‘cubic’ method in 'griddedInterpolant' is the same as ‘v5cubic’ in 'interp1':
In addition to this documentation, there is a brief explanation of 'v5cubic' on Cleve's blog (under 'Interp1'):
The 'cubic' method of 'griddedInterpolant' is a local C1 piecewise cubic Hermite interpolation method where the slope at a grid point x(n) is the mean of neighboring values y(n-1) and y(n+1).
This method does not support user-defined derivatives and requires the abscissa x to be equally spaced.
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