create svg middle path

[cyber-ai-dep]

I have two SVG files, one of which contains an outline-like path, where each closed shape is represented as a single continuous path. I want to generate a new path that accurately follows the centerline of each shape and fills it accordingly. The desired result should match the red path shown in the reference image. Do you have any suggestions for achieving this automatically using software applications or by writing a custom program?

[GreLI]

It's actually a hard enough math problem. I'm not sure whether it solved anywhere. Perhaps something like shrink path by value (somehow found) in some editor may help, but that can lead to unexpected result. Basically, one need to redraw the image, maybe with the help of some tools.