A new five-point approximating subdivision scheme

DOI10.1080/00207160701361191zbMath1152.65031OpenAlexW2025751015MaRDI QIDQ5438695

Shahid S. Siddiqi, Nadeem Ahmad

Publication date: 28 January 2008

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701361191

zbMATH Keywords

convergencecontinuityapproximationsubdivisionsmoothnessapproximation curve

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Computer-aided design (modeling of curves and surfaces) (65D17) Approximation by other special function classes (41A30)

Related Items

Designing multi-parameter curve subdivision schemes with high continuity, Mixed trigonometric and hyperbolic subdivision scheme with two tension and one shape parameters, Construction of binary four and five point non-stationary subdivision schemes from hyperbolic B-splines, A ternary three-point scheme for curve designing, A class of shape preserving 5-point n-ary approximating schemes, The \(m\)-point approximating subdivision scheme, Unnamed Item

Cites Work

• A new three-point approximating \(C^{2}\) subdivision scheme
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• A proof of the smoothness of the 6-point interpolatory scheme
• Simple Regularity Criteria for Subdivision Schemes
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme