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Volume 26 Issue 3
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Journal of Beijing University of Aeronautics and Astronautics  > 2000  >  26(3): 256-258.
WANG Zu-lin, ZHOU Yin-qing. Multifractal Spectrum and Calculation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2000, 26(3): 256-258. (in Chinese)
Citation: WANG Zu-lin, ZHOU Yin-qing. Multifractal Spectrum and Calculation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2000, 26(3): 256-258. (in Chinese)
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Multifractal Spectrum and Calculation

  • Beijing University of Aeronautics and Astronautics,Dept. of Electronic Engineering

  • Received Date: 16 Nov 1998
  • Publish Date: 31 Mar 2000
    Abstract
  • Multifractal theory is an effective tool for the singularity processing of signal, but only a few special sets have analytic multifractal spectrum expression. The calculation of multifractal spectrum is important and difficult. This paper introduces one of the formal system of multifractal theory in brief and presents an approach to calculate the multifractal spectrum of general sets. The approach makes use of the dynamic link data structure and decreases greatly the demand for memory. By means of the approach , the multifractal spectrum of Cantor set is calculated. The result is in accordance with the theory analysis and shows that the presented algorithm is valid.

     

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  • [1] Langi A, Kinsner W. Sigularity processing of nonstationary signals[J]. CCECE'96, IEEE,1996.687~691. [2]张贤达著.现代信号处理[M].北京:清华大学出版社,1995. [3]Mallat S, Hwang W L. Singularity detection and processing with wavelets . IEEE Trans on Information Theory, 1992, 38(2):617~643. [4]Chabert M, Tourneret J Y, Mesnager G. Edge detection in speckled SAR images using the continuous wavelet transform[J]. IGARSS, 1996, 3:1842~1844． [5] Falcone K著. 分形几何——数学基础及其应用[M].曾文曲,刘世耀译.沈阳:东北大学出版社,1991. [6]Arduini F, Fioravanti S, Giusto D D. A multifractal-based approach to natural scene analysis[J]. CCECE'91,1991．2681~2684． [7]曾文曲,王向阳．分形理论与分形的计算机模拟[M].沈阳:东北大学出版社,1993.
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