Complete characterization of the regions of \(C^2\) and \(C^3\) convergence of combined ternary 4-point subdivision schemes

DOI10.1016/j.aml.2016.07.004zbMath1348.65054OpenAlexW2471881183MaRDI QIDQ311719

Lucia Romani, Paola Novara

Publication date: 13 September 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.07.004

zbMATH Keywords

regularityconvergenceshape parametersjoint spectral radiuscombined ternary subdivision

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (10)

A non-stationary combined ternary 5-point subdivision scheme with \(C^4\) continuity ⋮ Construction of a family of non-stationary combined ternary subdivision schemes reproducing exponential polynomials ⋮ A new approach to increase the flexibility of curves and regular surfaces produced by 4-point ternary subdivision scheme ⋮ A combined approximating and interpolating ternary 4-point subdivision scheme ⋮ A non-stationary combined subdivision scheme generating exponential polynomials ⋮ Interpolatory subdivision schemes with the optimal approximation order ⋮ Families of non-linear subdivision schemes for scattered data fitting and their non-tensor product extensions ⋮ Interpolating \(m\)-refinable functions with compact support: the second generation class ⋮ Recursive process for constructing the refinement rules of new combined subdivision schemes and its extended form ⋮ Nonstationary interpolatory subdivision schemes reproducing high-order exponential polynomials

Cites Work

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• Polynomial reproduction for univariate subdivision schemes of any arity
• Finiteness conjecture and subdivision
• Subdivision schemes in geometric modelling
• Stationary subdivision
• Simple Regularity Criteria for Subdivision Schemes
• Spectral factorization of 2-block Toeplitz matrices and refinement equations
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme

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