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An Approach for Accurate Measurement of Fractal Dimension Distribution on Fracture Surfaces

Petr Frantik
Transactions of the VSB - Technical University of Ostrava, Civil Engineering Series
2022, Volume 22, Issue 1, Pages 7-12
Doi: 10.35181/tces-2022-0002
The paper describes a new approach to measuring the box-counting fractal dimension of surfaces based on making cuts and using the walking divider method with an improvement. The method is applied on a surface created by the fracture of an artificial composite. It is usable for accurate estimation of fractal dimension of flatter surfaces for which it is necessary to measure with small deviation. It also allows the discovery of the dimension distribution along the surface.
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