Quantitative estimation of 3D cave networks complexity using random walk analysis

Błachowicz, Tomasz; Andreychouk, Viacheslav

doi:10.12657/landfana.029.011

Cited by 2 publications

(1 citation statement)

References 18 publications

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“…The prob lem in ves ti gated be longs par tially within re search into fractal prop er ties of karst (Curl, 1986;Laverty, 1987;ChilÀs, 1988;Feder, 1988;Havlin and Ben-Avraham, 2002;Maramathas and Boudouvis, 2006;Pardo-Igúzquiza et al, 2014, Kambesis et al, 2015 and partly re fers to the au thors' pre vi ous works (Andreychouk et al, 2013;Blachowicz and Andreychouk, 2016).…”

Section: Fenglin and Fengcong Karst Fenglin And Fengcong Karst In Conmentioning

confidence: 95%

Fractal analysis of tropical karst relief – South China Karst case study

Andreychouk

Błachowicz²,

Dłużewski³

2019

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Ar eas of trop i cal karst cre ate the most spec tac u lar earth land scapes from a geomorphological per spec tive. These ar eas are char ac ter ized by a va ri ety of spe cific forms re sult ing from the long-term karst-ero sion dis mem ber ment of ter rains in fa vourable hu mid trop i cal con di tions. Trop i cal karst ar eas are ex tremely di verse from a geomorphological point of view both in terms of lo cal con di tions of de vel op ment and de vel op men tal stages. Among the many types of karst re lief, the fol low ing two ba sic types can be rec og nized: fenglin (tower karst) and fengcong (cone karst). The other types can be treated as a mix ture of these two ba sic types. To find po ten tial quan ti ta tive rates char ac ter iz ing the two main types, as well as the mixed types, we cal cu lated fractal di men sions and cover fac tors of 17 ar eas lo cated within the two well-known re gions of South China Karst-Guilin and Huanjiang. The cal cu la tions show that the nu mer i cal char ac ter is tics ob tained, es pe cially the cover fac tor pa ram eter, can be use ful as com ple men tary tools in the rec og ni tion and typology of trop i cal karst re lief and land scapes.

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Section: Fenglin and Fengcong Karst Fenglin And Fengcong Karst In Conmentioning

confidence: 95%

Fractal analysis of tropical karst relief – South China Karst case study

Andreychouk

Błachowicz²,

Dłużewski³

2019

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Statistical Analysis of Nanofiber Mat AFM Images by Gray-Scale-Resolved Hurst Exponent Distributions

et al. 2021

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Two-dimensional structures, either periodic or random, can be classified by diverse mathematical methods. Quantitative descriptions of such surfaces, however, are scarce since bijective definitions must be found to measure unique dependency between described structures and the chosen quantitative parameters. To solve this problem, we use statistical analysis of periodic fibrous structures by Hurst exponent distributions. Although such a Hurst exponent approach was suggested some years ago, the quantitative analysis of atomic force microscopy (AFM) images of nanofiber mats in such a way was described only recently. In this paper, we discuss the influence of typical AFM image post-processing steps on the gray-scale-resolved Hurst exponent distribution. Examples of these steps are polynomial background subtraction, aligning rows, deleting horizontal errors and sharpening. Our results show that while characteristic features of these false-color images may be shifted in terms of gray-channel and Hurst exponent, they can still be used to identify AFM images and, in the next step, to quantitatively describe AFM images of nanofibrous surfaces. Such a gray-channel approach can be regarded as a simple way to include some information about the 3D structure of the image.

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Quantitative estimation of 3D cave networks complexity using random walk analysis

Cited by 2 publications

References 18 publications

Fractal analysis of tropical karst relief – South China Karst case study

Fractal analysis of tropical karst relief – South China Karst case study

Statistical Analysis of Nanofiber Mat AFM Images by Gray-Scale-Resolved Hurst Exponent Distributions

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