Fractal properties of the generalized chaikin corner-cutting subdivision scheme

DOI10.1016/J.CAMWA.2010.09.014zbMath1219.65026OpenAlexW1989106427MaRDI QIDQ636663

Juan Wang, Dekong Liu, Feng Xu, Hong-Chan Zheng

Publication date: 28 August 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.09.014

zbMATH Keywords

subdivision schemefractal propertieslimit pointsgeneralized Chaikin corner-cutting scheme

Mathematics Subject Classification ID

Fractals (28A80) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (6)

Calculation of dimensions of curves generated by subdivision schemes ⋮ Generation of fractal curves and surfaces using ternary 4-point interpolatory subdivision scheme ⋮ Fractal behavior of ternary 4-point interpolatory subdivision scheme with tension parameter ⋮ On a stable family of four-point nonlinear subdivision schemes eliminating the Gibbs phenomenon ⋮ Fractal generation using ternary 5-point interpolatory subdivision scheme ⋮ On the application of Lehmer means in signal and image processing

Cites Work

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• A new three-point approximating \(C^{2}\) subdivision scheme
• Cutting corners always works
• A 4-point interpolatory subdivision scheme for curve design
• 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
• Analysis of uniform binary subdivision schemes for curve design

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