Fractal properties of interpolatory subdivision schemes and their application in fractal generation

DOI10.1016/j.chaos.2005.10.075zbMath1131.28010OpenAlexW2065198225MaRDI QIDQ2477284

Yanyan Li

Publication date: 13 March 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.10.075

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (11)

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 ⋮ Fractal behavior of ternary 4-point interpolatory subdivision scheme with tension parameter ⋮ Fractal properties of the generalized chaikin corner-cutting subdivision scheme ⋮ Fractal generation using ternary 5-point interpolatory subdivision scheme ⋮ A new non-stationary binary 6-point subdivision scheme ⋮ Refinable functions, functionals, and iterated function systems ⋮ Construction of binary four and five point non-stationary subdivision schemes from hyperbolic B-splines ⋮ Fractal range of a 3-point ternary interpolatory subdivision scheme with two parameters ⋮ Hyperbolic forms of ternary non-stationary subdivision schemes originated from hyperbolic B-splines

Cites Work

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• Automatic generation of aesthetic patterns on fractal tilings by means of dynamical systems
• Analysis of dynamic solutions of complex delay differential equation exemplified by the extended Mandelbrot's equation
• A butterfly subdivision scheme for surface interpolation with tension control
• Iterated function systems and the global construction of fractals
• An interpolating 4-point \(C^2\) ternary stationary subdivision scheme

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