C++ Computational Geometry Specialist - Medial Axis / Straight Skeleton Placement Engine

I need a compact, well-tested C++ library that takes an SVG path representing a single letter and returns the medial axis, the centre line, of every stroke, ready for LED module placement. The core of... (Budget: $250 - $750 USD, Jobs: Algorithm, C Programming, C++ Programming, Computer Graphics, Geometry, JSON, Mathematics, OpenGL, Software Engineering, SVG)