Construction of fractal surfaces by recurrent fractal interpolation curves

Chol-hui Yun, Hyong-chol O and Hui-chol Choi

Chaos, Solitons & Fractals, 2014, vol. 66, issue C, 136-143

Abstract: A method to construct fractal surfaces by recurrent fractal curves is provided. First we construct fractal interpolation curves using a recurrent iterated functions system (RIFS) with function scaling factors and estimate their box-counting dimension. Then we present a method of construction of wider class of fractal surfaces by fractal curves and Lipschitz functions and calculate the box-counting dimension of the constructed surfaces. Finally, we combine both methods to have more flexible constructions of fractal surfaces.

Date: 2014
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:66:y:2014:i:c:p:136-143

DOI: 10.1016/j.chaos.2014.06.001

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