The Delaunay triangulation for multidimensional surfaces and its approximative properties
Vladimir Aleksandrovich Klyachin, А. А. Широкий · Russian Mathematics · 2011
We define the Delaunay triangulation for surfaces and prove an analog of the G. Voronoi empty sphere theorem. We also prove a convergence theorem for gradients of piecewise linear approximations constructed on the Delaunay triangulation for functions differentiable on smooth surfaces.