Fractal generation using ternary 5-point interpolatory subdivision scheme

DOI10.1016/J.AMC.2014.02.015zbMath1298.65024OpenAlexW1998357892MaRDI QIDQ470805

Shahid S. Siddiqi, Saima Siddiqui, Nadeem Ahmad

Publication date: 13 November 2014

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.02.015

zbMATH Keywords

interpolationsubdivision schemefractal propertiesfractal generationfractal subdivision schemeternary 5-point scheme

Mathematics Subject Classification ID

Numerical interpolation (65D05) Fractals (28A80)

Related Items (5)

Calculation of dimensions of curves generated by subdivision schemes ⋮ Generation of fractal curves and surfaces using ternary 4-point interpolatory subdivision scheme ⋮ Binary 3-point and 4-point non-stationary subdivision schemes using hyperbolic function ⋮ On initial value problems of fractal delay equations ⋮ A family of integer-point ternary parametric subdivision schemes

Cites Work

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• Fractal properties of the generalized chaikin corner-cutting subdivision scheme
• A new 5-point ternary interpolating subdivision scheme and its differentiability
• An interpolating 4-point \(C^{2}\) ternary non-stationary subdivision scheme with tension control
• Sur une courbe plane
• A new three-point approximating \(C^{2}\) subdivision scheme
• Improved binary four point subdivision scheme and new corner cutting scheme
• A 4-point interpolatory subdivision scheme for curve design
• Symmetric iterative interpolation processes
• Fractal range of a 3-point ternary interpolatory subdivision scheme with two parameters
• Fractal properties of interpolatory subdivision schemes and their application in fractal generation

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