Error bounds for a convexity-preserving interpolation and its limit function

DOI10.1016/j.cam.2006.11.003zbMath1130.41002OpenAlexW2060484187MaRDI QIDQ2475376

Sergio Amat, Rosa Donat, J. Carlos Trillo, Karine Dadourian, Jacques Liandrat

Publication date: 11 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2006.11.003

zbMATH Keywords

error boundsconvexity preservingnonlinear subdivision schemes

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10) Computer-aided design (modeling of curves and surfaces) (65D17)

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Cites Work

• Unnamed Item
• Convexity preserving interpolatory subdivision schemes
• Quasilinear subdivision schemes with applications to ENO interpolation.
• Sharp, quantitative bounds on the distance between a polynomial piece and its Bézier control polygon
• On the stability of the PPH nonlinear multiresolution
• Estimating error bounds for binary subdivision curves/surfaces
• Analysis of a new nonlinear subdivision scheme. Applications in image processing
• Estimating subdivision depths for rational curves and surfaces
• Tight linear envelopes for splines