Modified form of binary and ternary 3-point subdivision schemes

DOI10.1016/j.amc.2010.01.115zbMath1198.65042OpenAlexW2074932484MaRDI QIDQ969167

Kashif Rehan, Shahid S. Siddiqi

Publication date: 11 May 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.01.115

zbMATH Keywords

smoothnesssubdivision schemecomputer aided geometric designsubdivision curvesubdivision surfacebinary 3-point schemeternary 3-point scheme

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Designing multi-parameter curve subdivision schemes with high continuity, The inequalities for the analysis of a class of ternary refinement schemes, A non-stationary combined ternary 5-point subdivision scheme with \(C^4\) continuity, Family of odd point non-stationary subdivision schemes and their applications, \((2n - 1)\)-point ternary approximating and interpolating subdivision schemes, Family of \(a\)-ary univariate subdivision schemes generated by Laurent polynomial, Curve subdivision schemes for geometric modelling, A family of ternary subdivision schemes for curves, Construction of binary four and five point non-stationary subdivision schemes from hyperbolic B-splines, A new class of odd-point ternary non-stationary approximating schemes

Cites Work

• An interpolating 4-point \(C^{2}\) ternary non-stationary subdivision scheme with tension control
• A family of subdivision schemes with cubic precision
• Sur une courbe plane
• A new three-point approximating \(C^{2}\) subdivision scheme
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• A ternary 4-point approximating subdivision scheme
• Fractal range of a 3-point ternary interpolatory subdivision scheme with two parameters
• A ternary three-point scheme for curve designing
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme
• Unnamed Item
• Unnamed Item