Convergence of barycentric coordinates to barycentric kernels

Jiří Kosinka, Michael Barton

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We investigate the close correspondence between barycentric coordinates and barycentric kernels from the point of view of the limit process when finer and finer polygons converge to a smooth convex domain. We show that any barycentric kernel is the limit of a set of barycentric coordinates and prove that the convergence rate is quadratic. Our convergence analysis extends naturally to barycentric interpolants and mappings induced by barycentric coordinates and kernels. We verify our theoretical convergence results numerically on several examples.
Original languageEnglish (US)
Pages (from-to)200-210
Number of pages11
JournalComputer Aided Geometric Design
Volume43
DOIs
StatePublished - Feb 13 2016

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Graphics and Computer-Aided Design
  • Automotive Engineering
  • Aerospace Engineering

Fingerprint

Dive into the research topics of 'Convergence of barycentric coordinates to barycentric kernels'. Together they form a unique fingerprint.

Cite this