Fig. 8.

A toy example of biharmonic PDE-based medal modeling with branching skeletons. The synthetic skeleton (left panel) consists of three branches that join along a circular seam curve. The skeleton has three edge curves, also circles. The inputs to the PDE are ρ = 0 on the interior, τ = 0.1 at the edge curves and τ = 0.5 at the seam curves. The radius function R reconstructed by the PDE is plotted in the middle panel, and the reconstructed boundary is given in the right panel. Large blue points indicate the positions on the boundary that correspond to seam and edge curves on the skeleton.