Fairly simple question, but potentially complex:
It works to an extent, but is the pictured scheme entirely correct for
tricubic interpolation?  I know there's no problem for linear interpolation
like this, but I'm not quite sure whether it can be extended to cubic.  I
think it would be possible to use the basis functions to find each point's
contribution to the interpolated value, but that can overshoot the data
(for a cfd simulation) so it is better to interpolate along a line if
possible - since it's easier to prevent overshooting with four points than
with 64.  Maybe (quite possibly) there's a better way yet.  Thanks.
 - Ricky

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