As @prisoner849 noted, Line3 is only a mathematical tool and does not create a visible form.
Your pictures look like the high lines of a terrain.
If you have certain measuring points for this, you have the lines, of course.
To get the terrain as a surface with the lines on it, you have to create a self-defined geometry. Then additionally the lines.
To
“Need to fill of between lines when growing up or down sequenc of lines.”
That means, you have to realize a triangulation of an arbitrary outlined surface in 3D space. This is not trivial.
I have done something like this for implicit surfaces and some forms with holes.
Addon for triangulation of implicit surfaces/ forms with holes
This works if you have the gradients to each point.
In your case, it should be possible to determine them approximately from the measuring points - I think - or?
You can see how to draw lines in addition by looking at other examples, e.g.
THREEf geometries r136
(see Addon. Produces almost infinite many time-varying geometries with functions)