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Non-Stationary Fractal Interpolation

Author

Listed:
  • Peter Massopust

    (Center of Mathematics, Technical University of Munich, 85748 Garching, Germany)

Abstract

We introduce the novel concept of a non-stationary iterated function system by considering a countable sequence of distinct set-valued maps { F k } k ∈ N where each F k maps H ( X ) → H ( X ) and arises from an iterated function system. Employing the recently-developed theory of non-stationary versions of fixed points and the concept of forward and backward trajectories, we present new classes of fractal functions exhibiting different local and global behavior and extend fractal interpolation to this new, more flexible setting.

Suggested Citation

  • Peter Massopust, 2019. "Non-Stationary Fractal Interpolation," Mathematics, MDPI, vol. 7(8), pages 1-14, July.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:666-:d:251669
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    Cited by:

    1. Verma, S. & Jha, S. & Navascués, M.A., 2023. "Smoothness analysis and approximation aspects of non-stationary bivariate fractal functions," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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