Searching for information on the spline curves of basketweaving finally came up with a paper published in 2016.

A "fair," "elastic," minimal energy curve through the points exists through such points, provided certain angle limitations exist,
so that segments are "s-shaped."

http://download2.nust.na/pub4/sourceforge/c/cu/curve-ensemble/Constructive_Framework.pdf

Previous paper: https://arxiv.org/pdf/1302.5248.pdf

Actual code: https://sourceforge.net/projects/curve-ensemble/files/latest/download

Maybe a NURBS MoI version would be useful?

It remains unclear how helpful the elastica2 script would be...

Much more study is needed:-)


- Brian