Re: Modified Akima interpolation

On Tue, Apr 11, 2023 at 10:31 AM Albert Steppi <[email protected]>
wrote:

> Akima discusses a modification in the 1991 paper cited in the Matlab
> documentation
>
> https://dl.acm.org/doi/pdf/10.1145/114697.116810
>
> At a glance, I can’t tell if it is exactly the same modification, though
> it does have the property of connecting collinear points with a straight
> line. I don’t have time to check carefully now.
>

That is not the same modification. This article describes the modification
in `makima()` as a "MATLAB-specific modification":


https://blogs.mathworks.com/cleve/2019/04/29/makima-piecewise-cubic-interpolation/

That is probably the most authoritative citation for the algorithm itself.
Searching Google Scholar definitely shows people referencing `makima()` in
their Methods sections, some of them being whole papers comparing different
interpolation schemes for specific applications. For something that's a
relatively minor addition (in terms of implementation and API footprint),
that's sufficient literature for me.

--
Robert Kern

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