How to make path that follows fill of existing path?

Question

Context

I bought a vector EPS image. I want to use my Brother Scan-n-Cut to draw it; this machine takes an SVG and draws a stroke along every path. When I imported the file into inkscape, it turned into a set of paths that are filled to make those lines.

What it looks like with the paths filled only:

What it looks like with the paths stroked only:

Because of how the Brother Scan-n-Cut works, I want a path that looks, when stroked only, like the filled version above.

The Question

How can I make paths that lie along the lines that appear when the existing paths are filled?

Answer 1

About the only option you have would be the extension known as centerline-trace, which also requires autotrace and inkscape helper. I had pursued this objective in the past and found this particular inkscape add-on, but was not able to make it work due to incorrect version application on my part.

I had then given up the task, perhaps resorting to manual editing, so I cannot lay claim to having the correctly functioning answer.

The description clearly indicates that it fits your requirements, but the implementation is unproven on my end.

You can see that changing parameters changes the results. For your example image, I suspect the results are attainable, if the extension will install and operate.