What question did this study set out to answer?

To develop an unbiased stereological estimator for the volume-weighted mean volume and variance of arbitrarily shaped particles using random two-dimensional sections without geometric shape assumptions.

May 1, 1985Journal of Microscopy

Stereological estimation of the volume‐weighted mean volume of arbitrary particles observed on random sections*

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Authors

HGH. J. G. GundersenKjeller Innovasjon (Norway)EJEva B. Vedel JensenAarhus University

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Implication

Methodological analysis reveals an unbiased stereological estimator for arbitrary particle volume using point-sampled linear intercepts, overcoming traditional convexity constraints.

Key Points

To develop an unbiased stereological estimator for the volume-weighted mean volume and variance of arbitrarily shaped particles using random two-dimensional sections without geometric shape assumptions.
Applied point-sampling of linear intercept lengths on random two-dimensional sections where individual particle profiles are unambiguously identifiable.
Formulated variance estimators for particle volume distributions, simplifying the procedure for mixtures of spheres, oblates, prolates, and triaxial ellipsoids using section plane diameter measurements.
Overcame the classical convexity barrier by eliminating shape assumptions for unbiased mean particle volume estimation.
Demonstrated accurate stereological estimation on irregular particle profiles and established simplified variance calculations for arbitrary ellipsoidal mixtures.

Cite This Study

Gundersen et al. (1985) studied this question.

synapsesocial.com/papers/6a109596b6f5ee040160d3b4 https://doi.org/10.1111/j.1365-2818.1985.tb02607.x

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Implication

Methodological analysis reveals an unbiased stereological estimator for arbitrary particle volume using point-sampled linear intercepts, overcoming traditional convexity constraints.

Stereological estimation of the volume‐weighted mean volume of arbitrary particles observed on random sections*

Discussion

Member takes

Implication

Key Points

Cite This Study

Stereological estimation of the volume‐weighted mean volume of arbitrary particles observed on random sections*

Discussion

Member takes

Implication

Key Points

Cite This Study

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