When alpha-complexes collapse onto codimension-1 submanifolds

Dominique Attali, Mattéo Clémot, Bianca B. Dornelas +1

Given a finite set of points $P$ sampling an unknown smooth surface $\mathcal{M}\subseteq {\mathbb{R}}^3$, our goal is to triangulate $\mathcal{M}$ based solely on $P$. Assuming $\m…