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Three-pencil lattice on triangulationsGašper Jaklič,
Jernej Kozak,
Marjetka Knez,
Vito Vitrih,
Emil Žagar, 2007, published scientific conference contribution
Abstract: In 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.
Keywords: numerical analysis, lattice, barycentric coordinates, triangulations, interpolation
Published in RUP: 03.04.2017; Views: 2125; Downloads: 84
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