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Morphological Features of Mathematical and Real-World Fractals: A Survey.
- Source :
- Fractal & Fractional; Aug2024, Vol. 8 Issue 8, p440, 15p
- Publication Year :
- 2024
-
Abstract
- The aim of this review paper is to survey the fractal morphology of scale-invariant patterns. We are particularly focusing on the scale and conformal invariance, as well as on the fractal non-uniformity (multifractality), inhomogeneity (lacunarity), and anisotropy (succolarity). We argue that these features can be properly quantified by the following six adimensional numbers: the fractal (e.g., similarity, box-counting, or Assouad) dimension, conformal dimension, degree of multifractal non-uniformity, coefficient of multifractal asymmetry, index of lacunarity, and index of fractal anisotropy. The difference between morphological properties of mathematical and real-world fractals is especially outlined in this review paper. [ABSTRACT FROM AUTHOR]
- Subjects :
- CONFORMAL invariants
ANISOTROPY
MORPHOLOGY
Subjects
Details
- Language :
- English
- ISSN :
- 25043110
- Volume :
- 8
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Fractal & Fractional
- Publication Type :
- Academic Journal
- Accession number :
- 179380501
- Full Text :
- https://doi.org/10.3390/fractalfract8080440