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Barycentric coordinates for Lagrange interpolation over lattices on a simplexGašper Jaklič,
Jernej Kozak,
Marjetka Knez,
Vito Vitrih,
Emil Žagar, 2008, published scientific conference contribution
Abstract: In this paper, a ▫$(d+1)$▫-pencil lattice on a simplex in ▫${\mathbb{R}}^d$▫ is studied. The lattice points are explicitly given in barycentric coordinates. This enables the construction and the efficient evaluation of the Lagrange interpolating polynomial over a lattice on a simplex. Also, the barycentric representation, based on shape parameters, turns out to be appropriate for the lattice extension from a simplex to a simplicial partition.
Keywords: numerical analysis, lattice, barycentric coordinates, simplex, interpolation
Published in RUP: 03.04.2017; Views: 2237; Downloads: 139
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