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Fractal Function Estimation via Wavelet Shrinkage

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  • Y. Wang

Abstract

In scientific studies objects are often very rough. Mathematically these rough objects are modelled by fractal functions, and the fractal dimension is usually used to measure their roughness. This paper investigates fractal function estimation by wavelet shrinkage. It is shown that wavelet shrinkage can estimate fractal functions with their fractal dimensions virtually preserved.

Suggested Citation

  • Y. Wang, 1997. "Fractal Function Estimation via Wavelet Shrinkage," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 59(3), pages 603-613.
    • Handle: RePEc:bla:jorssb:v:59:y:1997:i:3:p:603-613
    DOI: 10.1111/1467-9868.00085
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    Cited by:

    1. Salmasi, Mehrdad & Modarres-Hashemi, M., 2009. "Design and analysis of fractal detector for high resolution radars," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2133-2145.
    2. Graham Horgan, 1999. "Using wavelets for data smoothing: A simulation study," Journal of Applied Statistics, Taylor & Francis Journals, vol. 26(8), pages 923-932.

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