@inproceedings{7b3ee8860b994eef8e13f9adc3145517,
title = "Discrete harmonic functions from local coordinates",
abstract = "In this work we focus on approximations of continuous harmonic functions by discrete harmonic functions based on the discrete Laplacian in a triangulation of a point set. We show how the choice of edge weights based on generalized barycentric coordinates influences the approximation quality of discrete harmonic functions. Furthermore, we consider a varying point set to demonstrate that generalized barycentric coordinates based on natural neighbors admit discrete harmonic functions that continuously depend on the point set.",
author = "Tom Bobach and Gerald Farin and Dianne Hansford and Georg Umlauf",
year = "2007",
doi = "10.1007/978-3-540-73843-5_6",
language = "English (US)",
isbn = "9783540738428",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "93--103",
booktitle = "Mathematics of Surfaces XII - 12th IMA International Conference, Proceedings",
note = "12th IMA International Conference on the Mathematics of Surfaces ; Conference date: 04-09-2007 Through 06-09-2007",
}