2011
DOI: 10.5566/ias.v23.p73-82
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Stereology and 3d Microscopy: Useful Alternatives or Competitors in the Quantitative Analysis of Microstructures?

Abstract: With the rapid development of modern techniques for producing 3D images, the assessment of 3D geometry from 2D sections of projections by stereological methods seems to become more and more redundant. The paper aims to show the limits of the two approaches and to outline their relative advantages in practical applications. It is concluded that, for a large variety of applications, classical stereological methods are the most effective way to characterize 3D geometry of irregular microstructures. The basic equa… Show more

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Cited by 36 publications
(26 citation statements)
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“…The second method is based on a stereological approach where the mean pore radius, L, within individual slices in the X, Y and Z directions, is determined by calculating the mean volume to surface ratio according to Equation 2, where Vv is the volume fraction of the pore, and Sv is the interface density [34,35].…”
Section: Quantifying Pore Size Distributionmentioning
confidence: 99%
See 1 more Smart Citation
“…The second method is based on a stereological approach where the mean pore radius, L, within individual slices in the X, Y and Z directions, is determined by calculating the mean volume to surface ratio according to Equation 2, where Vv is the volume fraction of the pore, and Sv is the interface density [34,35].…”
Section: Quantifying Pore Size Distributionmentioning
confidence: 99%
“…For the first time, the porosity, tortuosity factor and PSD are determined locally through a combination of 3D quantification [6], stereological [34,35], and image based modelling [19,23] techniques, providing spatial information on the structural properties of commonly used commercial polymer separators.…”
Section: Introductionmentioning
confidence: 99%
“…The 3D porosity of the overall sample and the 2D porosity of each image slice were determined by counting the pixels of the respective phases. The 2D pore diameter was calculated by dividing the pore volume fraction by the interface area between the two phases (Russ and DeHoff, 2000;Exner, 2004;Finegan et al, 2016;Taiwo et al, 2016a) for each image plane along all three axes of each sample:…”
Section: X-ray Nano Computed Tomographymentioning
confidence: 99%
“…There are methods for converting two-dimensional distributions to pseudo three-dimensional distributions based on assumptions of the form of the feature distribution. For example, the Scheil-Saltykov method (Exner, 2004;Gegner, 2006) can be used to convert the feature (e.g., pore or inclusion) size distribution obtained in two-dimensions to what would be expected in three-dimensions assuming a lognormal distribution of spherical features. It is noted that, in general, the geometry, and consequently, response of real three-dimensional microstructure cannot be directly obtained from a single two-dimensional image.…”
Section: Figure 14mentioning
confidence: 99%