Discrete box splines and refinement algorithms

DOI10.1016/0167-8396(84)90026-8zbMath0567.65004OpenAlexW2086412162MaRDI QIDQ1059979

Tom Lyche, Richard F. Riesenfeld, Elaine Cohen

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0167-8396(84)90026-8

zbMATH Keywords

subdivisionrefinementbox splinesmultivariate splinesdiscrete splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07)

Related Items (18)

Subdivision algorithms converge quadratically ⋮ Generalized subdivision and convergence ⋮ On the piecewise structure of discrete box splines ⋮ Some properties of bivariate Bernstein-Schoenberg operators ⋮ Algebraic properties of discrete box splines ⋮ On triangular splines ⋮ The mixed directional difference-summation algorithm for generating the Bézier net of a trivariate four-direction box-spline ⋮ Homogeneous polynomial splines ⋮ Fortran subroutines for B-nets of box splines on three- and four- directional meshes ⋮ Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four-directional meshes ⋮ Multivariate Discrete Splines and Linear Diophantine Equations ⋮ Surface compression ⋮ On discrete simplex splines and subdivision ⋮ Quasi 4--8 subdivision ⋮ Smooth surface interpolation to scattered data using interpolatory subdivision algorithms ⋮ Line average algorithm: a method for the computer generation of smooth surfaces ⋮ On the evaluation of box splines ⋮ Triangular spline algorithms

Cites Work

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• B-splines from parallelepipeds
• Linear independence of translates of a box spline
• On the optimal approximation rates for criss-cross finite element spaces
• Bivariate box splines and smooth pp functions on a three direction mesh
• Translates of multivariate splines
• On calculating with B-splines
• Approximation by Smooth Multivariate Splines
• On the local linear independence of translates of a box spline
• A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
• Discrete Splines via Mathematical Programming
• The Numerical Evaluation of B-Splines

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