[Voltage]

I won't pretend to understand the intricacies in your article here, but have you seen this paper / video by Cem Yuksel (University of Utah)....

By my layman understanding the curves discussed in the following paper may be of use.

http://www.cemyuksel.com/research/interpolating_splines/a_cl...

https://www.youtube.com/watch?v=pK4zy5OKbHs

[raphlinus]

I have seen it, and agree it's interesting. There's one idea in there that I think is more broadly applicable - circle-like forms when the deflection angles are relatively small, and higher tension (in this case, based on ellipses) as deflections increase.

Whether these particular splines are useful for, eg, font design, I'm not yet sold :)

[erichocean]

Holy shit, what a great link! This is what keeps me coming back to the comment section…

If I could gift you 100 point of Karma, I would.

[jansan]

That is some pretty amazing stuff, an presented in an very digestible form, which is unusual in this field.