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[Octave-bug-tracker] [bug #35178] griddata: cubic interpolation not yet


From: Rik
Subject: [Octave-bug-tracker] [bug #35178] griddata: cubic interpolation not yet implemented
Date: Mon, 13 Apr 2020 12:33:40 -0400 (EDT)
User-agent: Mozilla/5.0 (Windows NT 10.0; WOW64; Trident/7.0; rv:11.0) like Gecko

Follow-up Comment #8, bug #35178 (project octave):

Matlab's description of "natural" and "cubic" isn't much help.  You might also
take a look at the documentation for interp1.  In that case, "cubic" is the
same as "pchip", which uses Hermite polynomials rather than just ordinary
cubic polynomials.

As a guess, it may be that the Delaunay triangulation is used to quickly
locate the 4 nearest points in the original source data to the query point and
then construct a cubic spline.  This could still be a win computationally,
when compared to interp2 (..., "spline"), because splines would only be
created for regions with query points.  In the case of interp2, it creates a
spline for every single gap between data points.

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