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Inversion problem for the dimension of fractal rough surface

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Abstract

In the present paper, the fractal rough surface is described by a band-limited Weierstrass-Mandelbrot function. By using the Monte Carlo method and optimal method, a minimal target function method is applied to inverting the fractal dimension of the fractal rough surface. Numerical simulations show that the method can avoid the influence of the fractal characteristic scale, and that the method is of high precision.

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Authors and Affiliations

  1. Institute of Mathematics and Laboratory of Nonlinear Model and Method, Fudan University, 200433, Shanghai, China

    Zhao Donghua

  2. Department of Mathematics, Research Center for Nonlinear Science, Fudan University, 200433, Shanghai, China

    Cai Zhijie & Ruan Jiong

Authors
  1. Zhao Donghua
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  2. Cai Zhijie
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  3. Ruan Jiong
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Correspondence to Ruan Jiong.

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Zhao, D., Cai, Z. & Ruan, J. Inversion problem for the dimension of fractal rough surface. Sci China Ser F 48, 647–655 (2005). https://doi.org/10.1360/04yf0166

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  • DOI: https://doi.org/10.1360/04yf0166

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