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Detrended Fluctuation Analysis Of Three-Dimensional Data: Application To Soil X-Ray Ct Scans

Author

Listed:
  • DOMINGOS AGUIAR

    (Universidade Federal Rural de Pernambuco, Rua Dom Manoel de Medeiros s/n, 52171-900, Dois Irmãos, Recife-PE, Brazil)

  • CARLOS RENATO DOS SANTOS

    (��Centro Acadêmico Vitória, Universidade Federal de Pernambuco, Rua Alto do Reservatório, s/n, Bela Vista, 55608-680, Vitória de Santo Antão, Pernambuco, Brazil)

  • RÔMULO SIMÕES CEZAR MENEZES

    (��Universidade Federal de Pernambuco, Av. Prof. Moraes Rego 1235, 50670-901 Cidade Universitária, Recife-PE, Brazil)

  • ANTONIO CELSO DANTAS ANTONINO

    (��Universidade Federal de Pernambuco, Av. Prof. Moraes Rego 1235, 50670-901 Cidade Universitária, Recife-PE, Brazil)

  • BORKO STOSIC

    (Universidade Federal Rural de Pernambuco, Rua Dom Manoel de Medeiros s/n, 52171-900, Dois Irmãos, Recife-PE, Brazil)

Abstract

In this work, we compare three distinct schemes for detrended fluctuation analysis (DFA) of three-dimensional (3D) N × N × N data sets: (i) an N × N set of one-dimensional (1D) DFA runs for each vertical line of length N, (ii) a set of N two-dimensional (2D) DFA runs for each of the N × N planes along the vertical direction, and (iii) a single 3D DFA run. The objective of this work is two-fold: (i) to compare the performance of 1D, 2D, and 3D DFA methods in terms of compatibility as well as the richness of obtained results, and (ii) to demonstrate how these three complementary approaches shed new light on the complexity of the structure of the two real soil samples, through the analysis of grayscale high-resolution X-ray computed tomography scan images.

Suggested Citation

  • Domingos Aguiar & Carlos Renato Dos Santos & Rã”Mulo Simã•Es Cezar Menezes & Antonio Celso Dantas Antonino & Borko Stosic, 2022. "Detrended Fluctuation Analysis Of Three-Dimensional Data: Application To Soil X-Ray Ct Scans," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(03), pages 1-9, May.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:03:n:s0218348x22500426
    DOI: 10.1142/S0218348X22500426
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