The \(m\)-point approximating subdivision scheme

DOI10.1134/S1995080209020061zbMath1177.65039OpenAlexW2007698406MaRDI QIDQ1033685

Ghulam Mustafa, Faheem Khan, Abdul Ghaffar

Publication date: 10 November 2009

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080209020061

zbMATH Keywords

convergencecontinuitynumerical examplessmoothnessshape parameterLaurent polynomialapproximating subdivision schemebinary and ternary subdivision schemes

Mathematics Subject Classification ID

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

Related Items

Family of odd point non-stationary subdivision schemes and their applications ⋮ Family of \(a\)-ary univariate subdivision schemes generated by Laurent polynomial ⋮ Unified framework of approximating and interpolatory subdivision schemes for construction of class of binary subdivision schemes ⋮ On defining trigonometric box spline-like surface on type-I triangulation ⋮ Univariate approximating schemes and their non-tensor product generalization ⋮ A class of shape preserving 5-point n-ary approximating schemes ⋮ Unnamed Item ⋮ A new class of \(2m\)-point binary non-stationary subdivision schemes

Cites Work

• A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics
• An interpolating 4-point \(C^{2}\) ternary non-stationary subdivision scheme with tension control
• A new three-point approximating \(C^{2}\) subdivision scheme
• A \(C^6\) approximating subdivision scheme
• A 4-point interpolatory subdivision scheme for curve design
• A ternary 4-point approximating subdivision scheme
• A new five-point approximating subdivision scheme
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme
• Unnamed Item