Curve subdivision schemes for geometric modelling

DOI10.1080/00207160.2010.482987zbMath1216.41006OpenAlexW2094602632MaRDI QIDQ2995483

Shahid S. Siddiqi, Kashif Rehan

Publication date: 21 April 2011

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

Full work available at URL: https://doi.org/10.1080/00207160.2010.482987

zbMATH Keywords

Laurent polynomialmaskapproximating subdivision schemeconvergence and smoothness

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

Mixed trigonometric and hyperbolic subdivision scheme with two tension and one shape parameters, A combined binary 6-point subdivision scheme, A combined ternary 4-point subdivision scheme, A symmetric non-stationary subdivision scheme

Cites Work

• A family of subdivision schemes with cubic precision
• A new three-point approximating \(C^{2}\) subdivision scheme
• Modified form of binary and ternary 3-point subdivision schemes
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• Convexity preservation of the four-point interpolatory subdivision scheme
• A ternary 4-point approximating subdivision scheme
• Simple Regularity Criteria for Subdivision Schemes
• A ternary three-point scheme for curve designing
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme