caa a22 4500 467939330 CHVBK 20180406153007.0 cr unu---uuuuu 170328e20061101xx s 000 0 eng 10.1007/s10444-004-7620-5 doi (NATIONALLICENCE)springer-10.1007/s10444-004-7620-5 Convex combination maps over triangulations, tilings, and tetrahedral meshes [Elektronische Daten] [Michael Floater, Valérie Pham-Trong] In a recent paper by the first author, a simple proof was given of a result by Tutte on the validity of barycentric mappings, recast in terms of the injectivity of piecewise linear mappings over triangulations. In this note, we make a short extension to the proof to deal with arbitrary tilings. We also give a simple counterexample to show that convex combination mappings over tetrahedral meshes are not necessarily one-to-one. Springer, 2006 triangulation nationallicence tiling nationallicence tetrahedral mesh nationallicence convex combination nationallicence discrete maximum principle nationallicence parameterization nationallicence planar embedding nationallicence Floater Michael Centre of Mathematics for Applications, University of Oslo, P.O. Box 1053, Blindern, 0316, Oslo, Norway aut Pham-Trong Valérie Masters EPITA, 14-16 rue Voltaire, 94276, Le Kremlin-Bicetre, France aut Advances in Computational Mathematics Kluwer Academic Publishers 25/4(2006-11-01), 347-356 1019-7168 25:4<347 2006 25 10444 https://doi.org/10.1007/s10444-004-7620-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10444-004-7620-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Floater Michael Centre of Mathematics for Applications, University of Oslo, P.O. Box 1053, Blindern, 0316, Oslo, Norway aut NATIONALLICENCE 700 1- Pham-Trong Valérie Masters EPITA, 14-16 rue Voltaire, 94276, Le Kremlin-Bicetre, France aut NATIONALLICENCE 773 0- Advances in Computational Mathematics Kluwer Academic Publishers 25/4(2006-11-01), 347-356 1019-7168 25:4<347 2006 25 10444 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer