On the convergence rates of subdivision algorithms for box spline surfaces

DOI10.1007/BF01890038zbMath0629.41008MaRDI QIDQ1093826

B. George

Publication date: 1985

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

zbMATH Keywords

control netbox splinesEstimates

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computing methodologies and applications (68U99) Spline approximation (41A15)

Related Items

Subdivision algorithms converge quadratically, Convergence rates of cascade algorithms, Convergence of subdivision and degree elevation, The surrogate matrix methodology: low-cost assembly for isogeometric analysis, A characterization of multivariate quasi-interpolation formulas and its applications, Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four-directional meshes, Error estimates for approximations from control nets, Concerning order of convergence for subdivision, Smooth surface interpolation to scattered data using interpolatory subdivision algorithms

Cites Work

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• B-splines from parallelepipeds
• Translates of multivariate splines
• Subdivision algorithms for the generation of box spline surfaces
• A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces