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Construction Of A Weighted Fractal Interpolation Surface Based On Matkowski Contractions

Author

Listed:
  • 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)

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.

Suggested Citation

  • Qian-Rui Zhong & Hong-Yong Wang, 2024. "Construction Of A Weighted Fractal Interpolation Surface Based On Matkowski Contractions," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(01), pages 1-13.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:01:n:s0218348x24500130
    DOI: 10.1142/S0218348X24500130
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