On two special classes of fractal surfaces with certain Hausdorff and Box dimensions

Binyan Yu and Yongshun Liang

Applied Mathematics and Computation, 2024, vol. 468, issue C

Abstract: In this paper, using two special types of rise-dimensional operators based on existing fractal functions, we construct new fractal surfaces with any value of the Hausdorff and Box dimension between two and three. Further, we demonstrate that the lower and upper Box dimension of such fractal surfaces may be unequal to each other. This result could be useful to the research on creating various fractal surfaces with the required fractal dimensions in the future.

Keywords: Fractal surface; Bivariate continuous function; The Box dimension; The Hausdorff dimension (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:468:y:2024:i:c:s0096300323006781

DOI: 10.1016/j.amc.2023.128509

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