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

T. Blachowicz, K. Domino, M. Koruszowic, J. Grzybowski, T. Böhm, A. Ehrmann, Applied Sciences 11 (2021).

Artikel | Veröffentlicht | Englisch
Autor*in
Blachowicz, Tomasz; Domino, Krzysztof; Koruszowic, Michał; Grzybowski, Jacek; Böhm, Tobias; Ehrmann, AndreaFH Bielefeld
Abstract
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.
Erscheinungsjahr
Zeitschriftentitel
Applied Sciences
Band
11
Zeitschriftennummer
5
Artikelnummer
2436
eISSN
FH-PUB-ID

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Blachowicz, Tomasz ; Domino, Krzysztof ; Koruszowic, Michał ; Grzybowski, Jacek ; Böhm, Tobias ; Ehrmann, Andrea: Statistical Analysis of Nanofiber Mat AFM Images by Gray-Scale-Resolved Hurst Exponent Distributions. In: Applied Sciences Bd. 11, MDPI AG (2021), Nr. 5
Blachowicz T, Domino K, Koruszowic M, Grzybowski J, Böhm T, Ehrmann A. Statistical Analysis of Nanofiber Mat AFM Images by Gray-Scale-Resolved Hurst Exponent Distributions. Applied Sciences. 2021;11(5). doi:10.3390/app11052436
Blachowicz, T., Domino, K., Koruszowic, M., Grzybowski, J., Böhm, T., & Ehrmann, A. (2021). Statistical Analysis of Nanofiber Mat AFM Images by Gray-Scale-Resolved Hurst Exponent Distributions. Applied Sciences, 11(5). https://doi.org/10.3390/app11052436
@article{Blachowicz_Domino_Koruszowic_Grzybowski_Böhm_Ehrmann_2021, title={Statistical Analysis of Nanofiber Mat AFM Images by Gray-Scale-Resolved Hurst Exponent Distributions}, volume={11}, DOI={10.3390/app11052436}, number={52436}, journal={Applied Sciences}, publisher={MDPI AG}, author={Blachowicz, Tomasz and Domino, Krzysztof and Koruszowic, Michał and Grzybowski, Jacek and Böhm, Tobias and Ehrmann, Andrea}, year={2021} }
Blachowicz, Tomasz, Krzysztof Domino, Michał Koruszowic, Jacek Grzybowski, Tobias Böhm, and Andrea Ehrmann. “Statistical Analysis of Nanofiber Mat AFM Images by Gray-Scale-Resolved Hurst Exponent Distributions.” Applied Sciences 11, no. 5 (2021). https://doi.org/10.3390/app11052436.
T. Blachowicz, K. Domino, M. Koruszowic, J. Grzybowski, T. Böhm, and A. Ehrmann, “Statistical Analysis of Nanofiber Mat AFM Images by Gray-Scale-Resolved Hurst Exponent Distributions,” Applied Sciences, vol. 11, no. 5, 2021.
Blachowicz, Tomasz, et al. “Statistical Analysis of Nanofiber Mat AFM Images by Gray-Scale-Resolved Hurst Exponent Distributions.” Applied Sciences, vol. 11, no. 5, 2436, MDPI AG, 2021, doi:10.3390/app11052436.
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