Improving the stability bound for the PPH nonlinear subdivision scheme for data coming from strictly convex functions

DOI10.1016/j.amc.2021.126042OpenAlexW3130287482MaRDI QIDQ2242656

Yanyan Li

Publication date: 10 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.amc.2021.126042

zbMATH Keywords

stability analysisnonlinearsubdivision schemefirst order differences

Mathematics Subject Classification ID

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

Cites Work

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• Convexity preservation of the four-point interpolatory subdivision scheme
• On the stability of the PPH nonlinear multiresolution
• Proving convexity preserving properties of interpolatory subdivision schemes through reconstruction operators
• Analysis of a new nonlinear subdivision scheme. Applications in image processing
• Multiresolution Representation of Data: A General Framework
• Stable Interpolatory Multiresolution in 3D
• Data compression with ENO schemes: A case study

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