The multifractal formalism originally introduced for singular measures is revisited using the
wavelet transform. This new approach is based on the definition of partition functions from …

Fractals are mathematical constructs that show self-similarity over a range of scales and non-
integer (fractal) dimensions. Owing to these properties, fractal geometry can be used to …

Remarkable progress in molecular analyses has improved our understanding of the
evolution of cancer cells toward immune escape,,,–. However, the spatial configurations of …

Now in a greatly expanded second edition, this book relates fractals and chaos to a variety
of geological and geophysical applications and introduces the fundamental concepts of …

Since the publishing of the first edition of Classification Methods for Remotely Sensed Data
in 2001, the field of pattern recognition has expanded in many new directions that make use …

Fractals arise from a variety of sources and have been observed in nature and on computer
screens. One of the exceptional characteristics of fractals is that they can be described by a …

Fractal behavior and long-range dependence have been observed in an astonishing
number of physical, biological, geological, and socioeconomic systems. Time series …

The fractal or Hausdorff dimension is a measure of roughness (or smoothness) for time
series and spatial data. The graph of a smooth, differentiable surface indexed in ℝ d has …

Our understanding of Earth surface processes is rapidly advancing as new remote sensing
technologies such as LiDAR and close-range digital photogrammetry become more …

The connectivity of high energy random boundaries was investigated on the basis of the
fractal analyses of grain boundary microstructures in SUS316L stainless steel, to prove the …