2009
DOI: 10.1016/j.matchar.2009.02.013
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Properties of sialon ceramics evaluated by means of multifractal, surface stereometry and quantitative fractography techniques

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Cited by 24 publications
(18 citation statements)
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“…In the modern approach from material applied science, nanostructure of materials can be characterized properly using quantitative descriptions. Two main approaches to describe the 3D engineering surface roughness: statistical 22,23 and fractal description 24,25 are used in 3D surface characterization. Traditional Euclidean geometry describes objects with integer dimensions: zero-dimensional points, one-dimensional lines and curves, two-dimensional surfaces such as planes, and three-dimensional solid objects like cubes and spheres.…”
Section: Fractal Theorymentioning
confidence: 99%
See 1 more Smart Citation
“…In the modern approach from material applied science, nanostructure of materials can be characterized properly using quantitative descriptions. Two main approaches to describe the 3D engineering surface roughness: statistical 22,23 and fractal description 24,25 are used in 3D surface characterization. Traditional Euclidean geometry describes objects with integer dimensions: zero-dimensional points, one-dimensional lines and curves, two-dimensional surfaces such as planes, and three-dimensional solid objects like cubes and spheres.…”
Section: Fractal Theorymentioning
confidence: 99%
“…However, such complex structures geometry can be described using fractal geometry. 24,25 Fractal analysis has already been successfully used in di®erent¯elds in science and engineering. [26][27][28] In contrast to statistical analyses, the fractal analyses allow extracting different types of information from surface characteristics in accordance to their morphology, with high precision and low computational time.…”
Section: Fractal Theorymentioning
confidence: 99%
“…In our study, the multifractal analysis of the AFM files was performed for each region of interest (ROI), using the box counting method. The analysis was based on the original algorithm that has been previously described in detail in the literature [29,30].…”
Section: Multifractal Analysis Of the 3-d Surface Texturementioning
confidence: 99%
“…In this study, the fractal analysis was applied to the original AFM files using an algorithm that has been previously described in detail [24][25][26]. On the other hand, the estimation of fractal dimension (determined by the morphological envelopes method) of the AFM images was carried out using MountainsMap ® Premium software version 7 [15].…”
Section: Fractal Analysis Of the 3-d Microtextured Surfacementioning
confidence: 99%