Tuesday, March 5, 2013

1303.0615 (Chol-hui Yun et al.)

Construction of Fractal Surfaces by Recurrent Fractal Interpolation

Chol-hui Yun, Hui-chol Choi, Hyong-chol O
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.
View original: http://arxiv.org/abs/1303.0615

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