Fractal and Multifractal Analyses of the Porosity Degree of Ceramics Used in Biomedicine

Designing a new generation of biomaterials is based on the assumption that the appropriate chemical composition of a material, the chemical state of its surface and the surface structure in nanoand micrometer scales are the elements which selected in a planned way decide on the type of cellular response to the material. The use of quantitative fractography enables a quantitative description of the surface. The parameter most frequently used in surface stereometry is the area development coefficient Sdr. Attempts are being made to use other tools for determining additional parameters. One of them may be fractal analysis, in which fractal dimension D is the measure of surface complexity. For the purposes of the study, comparative fractal and multifractal analyses of images showing porous surfaces of Al₂O₃ ceramic coatings were performed. The analyses were carried out for three lenses, namely 20×, 50× and 100×, and the impact of magnification (scale properties) on the obtained results was examined.