From symmetric subdivision masks of Hurwitz type to interpolatory subdivision masks

DOI10.1016/j.laa.2009.06.037zbMath1176.65016OpenAlexW1983215319MaRDI QIDQ732092

Luca Gemignani, Lucia Romani, Constanza Conti

Publication date: 9 October 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: http://eprints.adm.unipi.it/652/1/CGR_LAArev1.pdf

zbMATH Keywords

polynomial equationHurwitz polynomialresultant matrixinterpolatory schemesubdivision mask

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05)

Related Items (15)

Exponential pseudo-splines: looking beyond exponential B-splines ⋮ Approximation order and approximate sum rules in subdivision ⋮ Mixed trigonometric and hyperbolic subdivision scheme with two tension and one shape parameters ⋮ A constructive algebraic strategy for interpolatory subdivision schemes induced by bivariate box splines ⋮ Families of univariate and bivariate subdivision schemes originated from quartic B-spline ⋮ Non-uniform interpolatory subdivision surface ⋮ On interpolatory subdivision from approximating subdivision scheme ⋮ Six-point subdivision schemes with cubic precision ⋮ From approximating to interpolatory non-stationary subdivision schemes with the same generation properties ⋮ A new 5-point ternary interpolating subdivision scheme and its differentiability ⋮ Dual univariate \(m\)-ary subdivision schemes of de Rham-type ⋮ Interpolatory subdivision schemes with the optimal approximation order ⋮ Affine combination of B-spline subdivision masks and its non-stationary counterparts ⋮ Nonstationary interpolatory subdivision schemes reproducing high-order exponential polynomials ⋮ Fundamental functions for local interpolation of quadrilateral meshes with extraordinary vertices

Cites Work

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• Polynomial reproduction by symmetric subdivision schemes
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• Computations with infinite Toeplitz matrices and polynomials
• Interpolatory subdivision schemes induced by box splines
• Interpolation through an iterative scheme
• Interpolatory subdivision schemes and wavelets
• Stationary subdivision
• On Refinement Equations Determined by Pólya Frequency Sequences
• The Resultant Iteration for Determining the Stability of a Polynomial
• Multidimensional Interpolatory Subdivision Schemes

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