A method to construct fractal surfaces by recurrent fractal curves isprovided. First we construct fractal interpolation curves using a recurrentiterated functions system(RIFS) with function scaling factors and estimatetheir box-counting dimension. Then we present a method of construction of widerclass of fractal surfaces by fractal curves and Lipschitz functions andcalculate the box-counting dimension of the constructed surfaces. Finally, wecombine both methods to have more flexible constructions of fractal surfaces.
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