Three-pencil lattice on triangulationsJaklič, Gašper (Avtor) Kozak, Jernej (Avtor) Knez, Marjetka (Avtor) Vitrih, Vito (Avtor) Žagar, Emil (Avtor) numerical analysislatticebarycentric coordinatestriangulationsinterpolationIn this paper, three-pencil lattices on triangulations are studied. The explicit representation of a lattice, based upon barycentric coordinates, enables us to construct lattice points in a simple and numerically stable way. Further, this representation carries over to triangulations in a natural way. The construction is based upon group action of S 3 on triangle vertices, and it is shown that the number of degrees of freedom is equal to the number of vertices of the triangulation.20072016-04-08 16:46:30Delo ni kategorizirano7724ISSN: 1017-1398UDK: 519.65OceCobissID: 1330268DOI: 10.1007/s11075-007-9068-4COBISS.SI-ID: 14426457sl