Barycentric coordinates for Lagrange interpolation over lattices on a simplex

Jaklič, Gašper; Kozak, Jernej; Knez, Marjetka; Vitrih, Vito; Žagar, Emil

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Title:	Barycentric coordinates for Lagrange interpolation over lattices on a simplex
Authors:	ID Jaklič, Gašper (Author) ID Kozak, Jernej (Author) ID Knez, Marjetka (Author) ID Vitrih, Vito (Author) ID Žagar, Emil (Author)
Files:	http://dx.doi.org/10.1007/s11075-008-9178-7
Language:	English
Work type:	Not categorized
Typology:	1.08 - Published Scientific Conference Contribution
Organization:	IAM - Andrej Marušič Institute
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
Year of publishing:	2008
Number of pages:	str. 93-104
Numbering:	Vol. 48, no. 1-3
PID:	20.500.12556/RUP-7725
ISSN:	1017-1398
UDC:	519.65
DOI:	10.1007/s11075-008-9178-7
COBISS.SI-ID:	14637401
Publication date in RUP:	03.04.2017
Views:	2821
Downloads:	143
Metadata:
:	JAKLIČ, Gašper, KOZAK, Jernej, KNEZ, Marjetka, VITRIH, Vito and ŽAGAR, Emil, 2008, Barycentric coordinates for Lagrange interpolation over lattices on a simplex. In : [online]. Published Scientific Conference Contribution. 2008. p. 93–104. [Accessed 5 April 2025]. Retrieved from: http://dx.doi.org/10.1007/s11075-008-9178-7 Copy citation