Multifractal Modeling and Lacunarity Analysis

@article{Cheng1997MultifractalMA,
  title={Multifractal Modeling and Lacunarity Analysis},
  author={Q. Cheng},
  journal={Mathematical Geology},
  year={1997},
  volume={29},
  pages={919-932}
}
  • Q. Cheng
  • Published 1997
  • Mathematics
  • 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… Expand

References

SHOWING 1-10 OF 16 REFERENCES
Multifractal modeling and spatial statistics
Comparison between two types of multifractal modeling
Multifractal modeling and spatial point processes
Lacunarity analysis: A general technique for the analysis of spatial patterns.
Characterizing the lacunarity of random and deterministic fractal sets.
  • Allain, Cloitre
  • Physics, Medicine
  • Physical review. A, Atomic, molecular, and optical physics
  • 1991
...
1
2
...