Fractal Function Estimation via Wavelet Shrinkage

Y. Wang

Journal of the Royal Statistical Society Series B, 1997, vol. 59, issue 3, 603-613

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.

Date: 1997
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