PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

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, pp. 93-104, 2008. ISSN 1017-1398

Abstract

In 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
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Theory & Algorithms
ID Code:8203
Deposited By:Boris Horvat
Deposited On:21 February 2012