Lagrange interpolatory subdivision schemes in Chebyshev spaces

DOI10.1007/s10208-014-9209-9zbMath1329.41004OpenAlexW1977190733MaRDI QIDQ896555

Marie-Laurence Mazure

Publication date: 10 December 2015

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10208-014-9209-9

zbMATH Keywords

subdivisionblossomsextended Chebyshev spacesChebyshevian divided differencesLagrange interpolatory schemesnon-nested grids

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

Convergence of univariate non-stationary subdivision schemes via asymptotic similarity ⋮ A new method for the analysis of univariate nonuniform subdivision schemes

Cites Work

• Design with L-splines
• Finding all systems of weight functions associated with a given extended Chebyshev space
• Nonuniform corner cutting
• The geometry of Tchebycheffian splines
• On Chebyshevian spline subdivision
• A recurrence relation for Chebyshevian B-splines
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• A practical guide to splines
• Blossoming: A geometrical approach
• Regularity of irregular subdivision
• Exponentials reproducing subdivision schemes
• Subdivision schemes and irregular grids
• Blossoms of generalized derivatives in Chebyshev spaces
• Interpolation through an iterative scheme
• Critical length for design purposes and extended Chebyshev spaces
• Analysis of asymptotically equivalent binary subdivision schemes
• A recurrence formula for generalized divided differences and some applications
• Total positivity and the existence of piecewise exponential B-splines
• Analysis of uniform binary subdivision schemes for curve design
• Ready-to-Blossom Bases in Chebyshev Spaces
• Orthonormal bases of compactly supported wavelets
• Commutation for irregular subdivision
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