A new method for the analysis of univariate nonuniform subdivision schemes

DOI10.1007/s00365-014-9247-1zbMath1308.65020OpenAlexW2000457070MaRDI QIDQ485334

Yong-Cai Geng, Sumit K. Garg

Publication date: 9 January 2015

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-014-9247-1

zbMATH Keywords

extended Chebyshev systemnonuniform subdivision

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation by other special function classes (41A30)

Related Items (11)

Non-uniform interpolatory subdivision schemes with improved smoothness ⋮ A shape preserving \(C^2\) non-linear, non-uniform, subdivision scheme with fourth-order accuracy ⋮ A non-uniform corner-cutting subdivision scheme with an improved accuracy ⋮ Bivariate non-uniform subdivision schemes based on L-systems ⋮ A new family of means: the generalized weighted power means and applications ⋮ Point-normal subdivision curves and surfaces ⋮ A family of non-uniform subdivision schemes with variable parameters for curve design ⋮ Convergence analysis of corner cutting algorithms refining nets of functions ⋮ High order smoothness of non-linear Lane-Riesenfeld algorithms in the functional setting ⋮ Attractors of trees of maps and of sequences of maps between spaces with applications to subdivision ⋮ A shape preserving corner cutting algorithm with an enhanced accuracy

Cites Work

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• Symmetric iterative interpolation processes
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• Using Laurent polynomial representation for the analysis of non-uniform binary subdivision schemes
• Subdivision schemes in \(L_ p\) spaces
• Analysis of asymptotically equivalent binary subdivision schemes
• High order smoothness of non-linear Lane-Riesenfeld algorithms in the functional setting
• Polynomial generation and quasi-interpolation in stationary non-uniform subdivision
• Subdivision schemes in geometric modelling
• A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
• Using Two-Slanted Matrices for Subdivision
• Wavelets on irregular point sets

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