A Data-Driven Interpolation Method on Smooth Manifolds via Diffusion Processes and Voronoi Tessellations
arXiv:2509.03758v3 Announce Type: replace
Abstract: We propose a data-driven interpolation method for approximating real-valued functions on smooth manifolds, based on the Laplace–Beltrami operator and Voronoi tessellations. Given pointwise evaluatio…