A necessary and sufficient proximity condition for smoothness equivalence of nonlinear subdivision schemes

DOI10.1007/s10208-015-9268-6zbMath1359.41005OpenAlexW831281291MaRDI QIDQ515982

Gang Xie, Thomas E. Duchamp, Thomas P.-Y. Yu

Publication date: 17 March 2017

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10208-015-9268-6

zbMATH Keywords

symmetrymanifoldcurvaturedynamical systemresonancePoincaré-Dulac normal formnonlinear subdivisionsuper-convergencedifferential proximity conditionZgymund class

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Rate of convergence, degree of approximation (41A25) Continuity and differentiation questions (26B05) Local Lie groups (22E05)

Related Items (2)

Geometric Subdivision and Multiscale Transforms ⋮ High order smoothness of non-linear Lane-Riesenfeld algorithms in the functional setting

Cites Work

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