Attached is a draft of a script to form 2d Euler curve approximations.
There is a readme file in the 7zip, if anyone is interested.
Thought I would try to do a Levenberg Marquardt solver algorithm in javascript, and also try
to piggyback onto the arccontinue factory script, for interactive use...

Is there any LM algorithm in MoI?
Is there any way for a script to access the tangent value of a curve, at a selected point?

Bemfarmer

That looks interesting. I think I'll have a play with that later.

Simon

Some sliders could be put on the selection boxes.
Also, try negative for curvature and/or alpha. (s is forced to be positive. wonder what a negative distance would do?)
A better script would select the start point, and a direction,
and the end point and a direction, and use LM to create the curve.
I guess javascript would be very slow (?) for interactive use, but C++ would be fast enough?
(I'm just an amateur programmer, but I gather that a Jacobian is just a matrix of derivatives.) so some matrix
routines would be needed...

Maybe the algorithm would work for a better 2 point catenary script also?
Brian.