Is it possible to vectorize an open contour in opencv?

Question

Vector graphics

I have an input image that has open lines on a black background. They are close to straight line segments, but not exactly. It is better to call them smooth non-closed curves. There can be many of them, some of them are almost parallel.
I want to find a way to vectorize them - i.e. get at the output a set of sequences of coordinates (x;y) that define the ends of each such curve and significant bends / breaks.
openCV has a findContours function, but I didn't understand if I could use it in this case.
Has anyone encountered such a task and is it possible to use openCV functions for it? Or maybe some other open library is suitable?