Ternary shape-preserving subdivision schemes

DOI10.1016/j.matcom.2013.04.003OpenAlexW2084330086MaRDI QIDQ1994880

Francesca Pitolli

Publication date: 18 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11573/522787

zbMATH Keywords

subdivision schemeshape-preservingbell-shaped mask

Mathematics Subject Classification ID

Real functions (26-XX) Numerical analysis (65-XX)

Related Items (12)

\(C^1\) sign, monotonicity and convexity preserving Hermite polynomial splines of variable degree ⋮ A shape preserving \(C^2\) non-linear, non-uniform, subdivision scheme with fourth-order accuracy ⋮ Totally positive refinable functions with general dilation \(M\) ⋮ Cubic polynomial and cubic rational \(C^1\) sign, monotonicity and convexity preserving Hermite interpolation ⋮ On a family of non-oscillatory subdivision schemes having regularity \(C^r\) with \(r > 1\) ⋮ A new approach to increase the flexibility of curves and regular surfaces produced by 4-point ternary subdivision scheme ⋮ Family of \(a\)-point \(b\)-ary subdivision schemes with Bell-shaped mask ⋮ Shape preservation of 4-point interpolating non-stationary subdivision scheme ⋮ A new paradigm to design a class of combined ternary subdivision schemes ⋮ A class of shape preserving 5-point n-ary approximating schemes ⋮ Gibbs phenomenon for \(p\)-ary subdivision schemes ⋮ Level set shape analysis of binary 4-point non-stationary interpolating subdivision scheme

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convexity preservation of the interpolating four-point \(C^{2}\) ternary stationary subdivision scheme
• Shape controlled interpolatory ternary subdivision
• Analysis and design of univariate subdivision schemes
• Biorthogonal wavelet expansions
• Shape-preserving interpolation by splines using vector subdivision
• Subdivision algorithms with nonnegative masks generally converge
• Convexity preserving interpolatory subdivision with conic precision
• Monotonicity preserving subdivision schemes
• Subdivision schemes in geometric modelling
• Stationary subdivision
• Multivariate Refinement Equations and Convergence of Subdivision Schemes
• Convergence of Subdivision Schemes Associated with Nonnegative Masks
• A ternary three-point scheme for curve designing
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme

This page was built for publication: Ternary shape-preserving subdivision schemes