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
symmetrymanifoldcurvaturedynamical systemresonancePoincaré-Dulac normal formnonlinear subdivisionsuper-convergencedifferential proximity conditionZgymund class
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)
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Cites Work
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