Generalized subdivision and convergence

DOI10.1016/0167-8396(85)90009-3zbMath0599.65004OpenAlexW2079772865MaRDI QIDQ1080609

Hartmut Prautzsch

Publication date: 1985

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-8396(85)90009-3

zbMATH Keywords

triangular gridsubdivision algorithmbox splinesmidpoint rule

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multidimensional problems (41A63) Surfaces in Euclidean and related spaces (53A05) Spline approximation (41A15) Numerical quadrature and cubature formulas (65D32)

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Corner cutting curves and a new characterization of Bézier and B-spline curves ⋮ Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four-directional meshes ⋮ Error estimates for approximations from control nets ⋮ Quasi 4--8 subdivision

Cites Work

• B-splines from parallelepipeds
• Discrete box splines and refinement algorithms
• Subdivision algorithms for the generation of box spline surfaces
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