Geodesic
The Delaunay triangulation for multidimensional surfaces and its approximative properties
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2012), pp. 31-39

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We define the Delaunay triangulation for surfaces and prove an analog of the G. Voronoi empty sphere theorem. We also prove the convergence theorem for gradients of piecewise linear approximations constructed on the Delaunay triangulation for functions differentiable on smooth surfaces.
Mots-clés : simplex, triangulation, approximation of gradient. 
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     author = {V. A. Klyachin and A. A. Shirokii},
     title = {The {Delaunay} triangulation for multidimensional surfaces and its approximative properties},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {31--39},
     publisher = {mathdoc},
     number = {1},
     year = {2012},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2012_1_a3/}
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V. A. Klyachin; A. A. Shirokii. The Delaunay triangulation for multidimensional surfaces and its approximative properties. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2012), pp. 31-39. http://geodesic.mathdoc.fr/item/IVM_2012_1_a3/