How Data Dependent is a Nonlinear Subdivision Scheme? A Case Study Based on Convexity Preserving Subdivision

DOI10.1137/050628751zbMath1124.26003OpenAlexW2022122685MaRDI QIDQ3446825

Thomas P.-Y. Yu

Publication date: 26 June 2007

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050628751

zbMATH Keywords

Hölder regularitynonlinear subdivision schemeconvexity preserving subdivision

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16) Interpolation in approximation theory (41A05) Iteration of real functions in one variable (26A18) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (4)

Smoothness equivalence properties of univariate subdivision schemes and their projection analogues ⋮ A smoothness criterion for monotonicity-preserving subdivision ⋮ Single basepoint subdivision schemes for manifold-valued data: time-symmetry without space-symmetry ⋮ A piecewise polynomial approach to analyzing interpolatory subdivision

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