CONSTRUCTION OF A WEIGHTED FRACTAL INTERPOLATION SURFACE BASED ON MATKOWSKI CONTRACTIONS

Qian-Rui Zhong and Hong-Yong Wang
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Qian-Rui Zhong: School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210023, P. R. China
Hong-Yong Wang: School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210023, P. R. China

FRACTALS (fractals), 2024, vol. 32, issue 01, 1-13

Abstract: In this paper, we construct a new kind of weighted recursive iteration function system (IFS) and prove the existence of the unique attractor for the kind of IFS based on the Matkowski fixed point theorem. We confirm that the attractor is a bivariate fractal interpolation surface (FIS), which interpolates a given set of data. In addition, we also provide an upper error estimate of such FISs caused by changes of weights. Finally, we give their box dimension estimates for a specific type of the FISs.

Keywords: Weighted Recursive IFS; Fractal Interpolation Surface; Matkowski Contraction; Box Dimension (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24500130

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