How can properties, like the Delaunay property, be abstracted to templated meshes?

The template-aware locally Delaunay property (cf. Section 4.4) is the natural abstraction of the locally Delaunay property for templated meshes. Similar to the Delaunay Lemma, a lemma for evaluating the Delaunay property of a templated mesh has been devised (cf. Lemma 4.5) and proved. Additionally, an algorithm has been developed which adapts a templated mesh in a way that its structure instance becomes Delaunay (cf. Algorithm 5.8 in Section 5.2.5).