Fractal behavior of ternary 4-point interpolatory subdivision scheme with tension parameter

DOI10.1016/J.AMC.2015.03.047zbMath1410.65055OpenAlexW2071060200MaRDI QIDQ1643051

Shahid S. Siddiqi, Nadeem Ahmad Butt, Wardat us Salam

Publication date: 18 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.047

zbMATH Keywords

fractal propertiesinterpolatory subdivision schemeternary 4-point schemefractal curves and surfacessubdivision fractal

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (3)

A new non-stationary binary 6-point subdivision scheme ⋮ Construction of binary four and five point non-stationary subdivision schemes from hyperbolic B-splines ⋮ Hyperbolic forms of ternary non-stationary subdivision schemes originated from hyperbolic B-splines

Cites Work

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• 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
• A ternary three-point scheme for curve designing

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