A combined approximating and interpolating ternary 4-point subdivision scheme
type: Item
instance of: scholarly article
title: A combined approximating and interpolating ternary 4-point subdivision scheme
author: Li Zhang
author: Shuo Tang
author: Huan-huan Ma
author: Jieqing Tan
published in: Journal of Computational and Applied Mathematics
publication date: 2019-01-24T00:00:00Z
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D18
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 68U05
zbMATH DE Number: 7006451
zbMATH Keywords: combined subdivision
zbMATH Keywords: continuity
zbMATH Keywords: polynomial generation
zbMATH Keywords: polynomial reproduction
zbMATH Keywords: fractals
MaRDI profile type: Publication
full work available at URL: j.cam.2018.09.014
OpenAlex ID: W2890688967
cites work: Q4026009
cites work: Stationary subdivision
cites work: Subdivision schemes in geometric modelling
cites work: Combined subdivision schemes for the design of surfaces satisfying boundary conditions
cites work: A 4-point interpolatory subdivision scheme for curve design
cites work: An interpolating 4-point \(C^2\) ternary stationary subdivision scheme
cites work: Shape controlled interpolatory ternary subdivision
cites work: A new three-point approximating \(C^{2}\) subdivision scheme
cites work: A new four-point shape-preserving \(C^3\) subdivision scheme
cites work: A unified framework for interpolating and approximating univariate subdivision
cites work: A combined approximating and interpolating subdivision scheme with \(C^2\) continuity
cites work: Complete characterization of the regions of \(C^2\) and \(C^3\) convergence of combined ternary 4-point subdivision schemes
cites work: Q5323958
cites work: A family of ternary subdivision schemes for curves
cites work: Ternary \(2N\)-point Lagrange subdivision schemes
cites work: Q4897799
cites work: Q4898170
cites work: On a class of shape-preserving refinable functions with dilation 3
cites work: A combined ternary 4-point subdivision scheme
cites work: Stationary subdivision schemes reproducing polynomials
cites work: Approximation order and approximate sum rules in subdivision
cites work: On interpolatory subdivision from approximating subdivision scheme
cites work: Polynomial reproduction by symmetric subdivision schemes
cites work: Polynomial reproduction for univariate subdivision schemes of any arity
cites work: Improved binary four point subdivision scheme and new corner cutting scheme
Wikidata QID: Q129225212
DOI: 10.1016/J.CAM.2018.09.014
description: scientific article; zbMATH DE number 7006451