Multifractal Modeling and Lacunarity Analysis

  title={Multifractal Modeling and Lacunarity Analysis},
  author={Qiuming Cheng},
  journal={Mathematical Geology},
  • Q. Cheng
  • Published 1 October 1997
  • Physics
  • Mathematical Geology
The so-called “gliding box method” of lacunarity analysis has been investigated for implementing multifractal modeling in comparison with the ordinary box-counting method. Newly derived results show that the lacunarity index is associated with the dimension (codimension) of fractal, multifractal and some types of nonfractals in power-law relations involving box size; the exponent of the lacunarity function corresponds to the fractal codimension (E – D) for fractals and nonfractals, and to the… 
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Lacunarity (L) is a scale (r)-dependent parameter that was developed for quantifying clustering in fractals and has subsequently been employed to characterize various natural patterns. It has been
Lacunarity (L) is a scale (r)-dependent parameter that was developed for quantifying clustering in fractals and has subsequently been employed to characterize various natural patterns and was used in discriminating between multifractal grayscale patterns with the same D2 values, but different degrees of scale-dependent clustering.
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  • 1999
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    Physical review. A, Atomic, molecular, and optical physics
  • 1991
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