Request: surface fitting to Curve

[markusT-]

I searched quit a lot to find a good solution for a plane that fits to a predefined curve.
Of course with threeJS.

Started with the linear least squares algorithm and the planar matching algorithm.
Unfortunately i didn't came to the result i was looking for, and i don't know anyone to ask such a highly complex math question!

Can you make a example or give me a starting point so i can solve this problem?

In appreciation,
MarkusT