Convergence of geometric subdivision schemes

DOI10.1016/j.amc.2015.07.069zbMath1410.65048OpenAlexW1444138660MaRDI QIDQ668337

Tobias Ewald

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.07.069

zbMATH Keywords

convergencegeometric subdivisionnon-linear subdivision

Mathematics Subject Classification ID

Continuity and differentiation questions (26B05) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

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• Four-point curve subdivision based on iterated chordal and centripetal parameterizations
• Sur une courbe plane
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• Hölder regularity of geometric subdivision schemes
• Monotonicity preserving interpolatory subdivision schemes
• Smoothness of nonlinear median-interpolation subdivision
• Generalized Lane-Riesenfeld algorithms
• Smoothness analysis of nonlinear subdivision schemes of homogeneous and affine invariant type
• Convergence and \(C^1\) analysis of subdivision schemes on manifolds by proximity
• A General Proximity Analysis of Nonlinear Subdivision Schemes
• Smoothness Analysis of Subdivision Schemes on Regular Grids by Proximity
• Subdivision schemes in geometric modelling
• Stationary subdivision