On Chebyshevian spline subdivision

DOI10.1016/j.jat.2006.06.008zbMath1106.41012OpenAlexW2068638229MaRDI QIDQ860690

Marie-Laurence Mazure

Publication date: 9 January 2007

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2006.06.008

zbMATH Keywords

blossomChebychevian splines

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Related Items (7)

Convergence of univariate non-stationary subdivision schemes via asymptotic similarity ⋮ Bernstein-type operators in Chebyshev spaces ⋮ Lagrange interpolatory subdivision schemes in Chebyshev spaces ⋮ Dimension elevation formula for Chebyshevian blossoms ⋮ Dimension elevation in Müntz spaces: a new emergence of the Müntz condition ⋮ Quadratic convergence of approximations by CCC-Schoenberg operators ⋮ Which spaces for design?

Cites Work

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• Nonuniform corner cutting
• The geometry of Tchebycheffian splines
• Blossoms are polar forms
• Subdivision algorithms converge quadratically
• Rates of convergence of control polygons
• Chebyshev spaces with polynomial blossoms
• Regularity of irregular subdivision
• Subdivision schemes and irregular grids
• Blossoms of generalized derivatives in Chebyshev spaces
• Disconjugacy
• Analysis of uniform binary subdivision schemes for curve design
• Ready-to-Blossom Bases in Chebyshev Spaces
• Commutation for irregular subdivision

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