Morphological Features of Mathematical and Real-World Fractals: A Survey
Miguel Patiño-Ortiz,
Julián Patiño-Ortiz,
Miguel Ángel Martínez-Cruz
et al.
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, coeffici… Show more
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