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Lagrange Interpolation by BivariateC1-Splines with Optimal Approximation Order

✍ Scribed by Günther Nürnberger; Frank Zeilfelder


Book ID
111569866
Publisher
Springer
Year
2004
Tongue
English
Weight
649 KB
Volume
21
Category
Article
ISSN
1019-7168

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Optimal Lagrange interpolation by quarti
✍ C.K. Chui; G. Hecklin; G. Nürnberger; F. Zeilfelder 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 333 KB

We develop a local Lagrange interpolation scheme for quartic C 1 splines on triangulations. Given an arbitrary triangulation , we decompose into pairs of neighboring triangles and add "diagonals" to some of these pairs. Only in exceptional cases, a few triangles are split. Based on this simple refin