Answers are grounded in this paper and cite their sources.
We show that eigenvalues and eigenfunctions of the Laplace–Beltrami operator on a Riemannian manifold are approximated by eigenvalues and eigenvectors of a (suitably weighted) graph Laplace operator of a proximity graph on an epsilon-net.
No takes yet. Share an insight, caveat, or question.
Burago et al. (2015) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: