Would you know any existing code to extract the center line of a mesh or a point cloud?

The center curve of a mesh is equidistant to its boundaries.

I have looked at several questions posted previously on forums such as this one on planar polygons (as well Daniel Piker's post) but could not find a clear step by step process that explains results in 3D such as in this paper and this one (image below) on point cloud skeletonization through "Laplacian-Based Contraction". This quadratic equation seems to come back in all the papers which might be a starting point...

There also the approach described in this paper on 3D Mesh Skeleton Extraction using prominent Segmentation based on "connecting rings".

So far the closest i got to making it work is the Skeletonize3D plugin for ImageJ but I could not make it works for an .obj mesh yet.

Many thanks,

Arthur