2019
DOI: 10.1111/jmi.12826
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Stereological estimation of particle shape from vertical sections

Abstract: In the present paper, we describe a new simple stereological method of estimating volume tensors in 3D from vertical sections. The volume tensors provide information about particle shape in 3D. In a model-based setting, the method requires that the particle distribution is invariant under rotations around the vertical axis. In a design-based approach, where the vertical section is uniformly rotated around the vertical axis, the method provides information about an index of elongation of the particles in the di… Show more

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Cited by 2 publications
(7 citation statements)
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“…The planar rotator probe has previously proven to be able to calculate volume tensors and was utilized in this study [ 55 ]. The sample area was selected perpendicular to the specified VA from the central gyral region of BA46 for each subject.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…The planar rotator probe has previously proven to be able to calculate volume tensors and was utilized in this study [ 55 ]. The sample area was selected perpendicular to the specified VA from the central gyral region of BA46 for each subject.…”
Section: Methodsmentioning
confidence: 99%
“…It is then possible to obtain information about the volume, shape, and orientation of X by combining volume tensors of rank 0, 1, and 2 [ 55 ].…”
Section: Methodsmentioning
confidence: 99%
“…Under restricted isotropy, the Miles ellipsoid e (Ψ) is an ellipsoid of revolution around the vertical axis (Larsen et al . 2019, Appendix A), containing information about mean particle shape. If we let the lengths of the semi‐axes of this Miles ellipsoid e (Ψ), parallel and perpendicular to the vertical axis, be denoted a and b , respectively, then the ratio I = a / b indicates the degree of elongation of the particles in the direction of the vertical axis.…”
Section: Mean Particle Volume Tensors From Vertical Sectionsmentioning
confidence: 99%
“…If automatic segmentation of Z ∩ L is not available, the integral may be discretised, using, for example, a line grid, perpendicular to the z ‐axis, see Larsen et al . (2019, p. 11). In this paper, the method has been implemented in human brain tissue, and the precision of the estimators is assessed, using a bootstrap procedure.…”
Section: Mean Particle Volume Tensors From Vertical Sectionsmentioning
confidence: 99%
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