is it possible to build a skeleton cut outward from the contour?

[sagittaracc]

I managed to build a skeleton and make a cut with a plane to build a cut inside the contour. But now I need to build the same contour but outside, is it possible to do this somehow using the same algorithm?

[StrandedKitty]

It looks like CGAL does support this, there's CGAL::create_exterior_straight_skeleton_2 function.
https://doc.cgal.org/latest/Straight_skeleton_2/group__PkgStraightSkeleton2SkeletonFunctions.html