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Barycentric coordinates for Lagrange interpolation over lattices on a simplex
Gašper Jaklic, Jernej Kozak, Marjetka Krajnc, Vito Vitrih and Emil Žagar
Numer. algorithms
Volume 48,
Number 1-3,
,
2008.
ISSN 1017-1398
AbstractIn this paper, a (d + 1)-pencil lattice on a simplex in Rd 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. | EPrint Type: | Article |
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| Project Keyword: | Project Keyword UNSPECIFIED |
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| Subjects: | Theory & Algorithms |
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| ID Code: | 8203 |
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| Deposited By: | Boris Horvat |
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| Deposited On: | 21 February 2012 |
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