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arXiv · 1303.0615

Construction of Fractal Surfaces by Recurrent Fractal Interpolation Curves

Chol-hui Yun·Hyong-chol O.·Hui-chol Choi
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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.

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Chol-hui Yun, Hyong-chol O., Hui-chol Choi. 2014-08-12. Construction of Fractal Surfaces by Recurrent Fractal Interpolation Curves. https://doi.org/10.1016/j.chaos.2014.06.001

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