A new subdivision method for bivariate splines on the four-directional mesh

DOI10.1016/S0377-0427(00)00372-1zbMath0973.65011MaRDI QIDQ1576449

Kurt Jetter, Constanza Conti

Publication date: 14 August 2000

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

zbMATH Keywords

curvessurfacesapproximation ordershift-invariant spacessubdivision methodsbivariate splinesquasi-interpolating operatorsspline spacesfour-directional mesh

Mathematics Subject Classification ID

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

Related Items (12)

Interpolatory rank-1 vector subdivision schemes ⋮ Tight frames of compactly supported multivariate multi-wavelets ⋮ Vector multivariate subdivision schemes: comparison of spectral methods for their regularity analysis ⋮ Dual Hermite subdivision schemes of de Rham-type ⋮ Tight wavelet frames for subdivision ⋮ Smoothed hat functions in subdivision ⋮ Polynomial reproduction of Hermite subdivision schemes of any order ⋮ Near-best operators based on a \({\mathcal C}^2\) quartic spline on the uniform four-directional mesh ⋮ On the convergence of convolved vector subdivision schemes ⋮ Concerning order of convergence for subdivision ⋮ Ellipse-preserving Hermite interpolation and subdivision ⋮ Analysis and construction of multivariate interpolating refinable function vectors

Cites Work

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• Stationary subdivision
• Multidimensional Interpolatory Subdivision Schemes
• Approximation properties of multivariate wavelets
• Approximation by Multiple Refinable Functions
• Refinable Function Vectors

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