Interpolatory rank-1 vector subdivision schemes

DOI10.1016/j.cagd.2003.11.003zbMath1069.41513OpenAlexW2135625970MaRDI QIDQ2388563

Georg Zimmermann, Constanza Conti

Publication date: 14 September 2005

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2003.11.003

zbMATH Keywords

subdivision schemesinterpolatoryvector valued

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63)

Related Items (16)

Multivariate orthonormal interpolating scaling vectors ⋮ Triangular Bernstein moment-based identification of algebraic curves ⋮ Optimized dual interpolating subdivision schemes ⋮ An algebraic approach to polynomial reproduction of Hermite subdivision schemes ⋮ Polynomial reproduction of vector subdivision schemes ⋮ Dual Hermite subdivision schemes of de Rham-type ⋮ Smoothed hat functions in subdivision ⋮ Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix ⋮ Polynomial reproduction of Hermite subdivision schemes of any order ⋮ Concerning order of convergence for subdivision ⋮ A note on Hermite multiwavelets with polynomial and exponential vanishing moments ⋮ Joint spectral radius and ternary Hermite subdivision ⋮ Ellipse-preserving Hermite interpolation and subdivision ⋮ Non-stationary subdivision schemes: state of the art and perspectives ⋮ Multivariate symmetric interpolating scaling vectors with duals ⋮ Matrix-valued symmetric templates for interpolatory surface subdivisions. I: Regular vertices

Cites Work

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• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• On vector subdivision
• Biorthogonal wavelet expansions
• Regularity of multiwavelets
• A new subdivision method for bivariate splines on the four-directional mesh
• Interpolation through an iterative scheme
• Analysis of uniform binary subdivision schemes for curve design
• A butterfly subdivision scheme for surface interpolation with tension control
• Stationary subdivision
• Vector subdivision schemes and multiple wavelets

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