Biophysical Chemistry of Fractal Structures and Processes in Environmental Systems 2008
DOI: 10.1002/9780470511206.ch2
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Introduction to Fractal Geometry, Fragmentation Processes and Multifractal Measures: Theory and Operational Aspects of their Application to Natural Systems

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Cited by 8 publications
(11 citation statements)
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“…Equations ( 19 – 20 ) represent the Legendre transformation from the independent variables τ xy and q to the conjugate independent variables f xy and α xy (Arnold 1978 ; Baveye et al 2008 ).…”
Section: Methodsmentioning
confidence: 99%
“…Equations ( 19 – 20 ) represent the Legendre transformation from the independent variables τ xy and q to the conjugate independent variables f xy and α xy (Arnold 1978 ; Baveye et al 2008 ).…”
Section: Methodsmentioning
confidence: 99%
“…Geometric (mono)fractals are self-similar sets of points. Multifractals (or multifractal measures) are self-similar measures defined on specific set of points [Baveye et al 2008;Evertsz et al 1992;Falconer 2003]. In general, the former can be generated by additive processes and the latter by multiplicative cascade of random processes.…”
Section: Multifractal Analysis (Mfa): Theory and Methodsmentioning
confidence: 99%
“…The two most popular of these are GBL (Sect. 2.2) and sandbox lacunarity (described below) (Baveye et al 2008) and have been compared by Allain and Cloitre (1991) and Pendleton et al (2005). In some cases lacunarity indices have been named 'the lacunarity' in the literature, leading to confusion (Baveye et al 2008).…”
Section: Other Lacunarity Indicesmentioning
confidence: 99%
“…2.2) and sandbox lacunarity (described below) (Baveye et al 2008) and have been compared by Allain and Cloitre (1991) and Pendleton et al (2005). In some cases lacunarity indices have been named 'the lacunarity' in the literature, leading to confusion (Baveye et al 2008). Applications can depend crucially on the choice of the lacunarity index, and we recommend that the term 'lacunarity' is not used as if it were a single quantity.…”
Section: Other Lacunarity Indicesmentioning
confidence: 99%