The Sizes of Spheres from Profiles in a Thin Slice II. Transparent Spheres

Coleman, Rodney

doi:10.1002/bimj.19830250804

Cited by 8 publications

(5 citation statements)

References 5 publications

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“…The underlying model is that of an aggregate of disjoint opaque spheres of variable size, embedded in a translucent matrix (the opposite model can also be considered, but it is rare; see Coleman, 1981bColeman, , 1983. The sampling unit considered here is a slab section of a given thicknzss, which is observed after orthogonal projection.…”

Section: E T H O D S F O R I D E N T I F Y I N G S P H E R E S I Z mentioning

confidence: 99%

Distribution‐free estimation of sphere size distributions from slabs showing overprojection and truncation, with a review of previous methods

Cruz‐Orive

1983

Journal of Microscopy

181

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K E Y w O R D S.Particle size distributions, linear size properties, slab section, overprojection, resolution threshold, capping angle, unfolding algorithm, stereology. S U M M A R YA distribution-free method is presented for unfolding the size distribution of an aggregate of disjoint opaque spherical particles in a translucent medium, from the circular profiles observed in the orthogonal projection of sections of a certain thickness through the medium. This situation pertains especially to light and transmission electron microscopy.The model accounts for overprojection (or 'Holmes effect') due to section thickness, and for two forms of truncation (or 'missing profiles' mechanisms), simultaneously. The profile data may be grouped into an arbitrary class system, chosen by the user, and the procedure can be programmed in a medium-size desk calculator.In order to incorporate the above features, however, we had to choose a finite-difference unfolding algorithm, the advantages and disadvantages of which are discussed early in the paper in the context of the main alternative unfolding procedures hitherto available.The performance of the method is tested against three sets of real data previously analysed by a maximum likelihood method (Keiding er al., 1972).

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Section: E T H O D S F O R I D E N T I F Y I N G S P H E R E S I Z mentioning

confidence: 99%

Distribution‐free estimation of sphere size distributions from slabs showing overprojection and truncation, with a review of previous methods

Cruz‐Orive

1983

Journal of Microscopy

181

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“…2. The geometric mean ventricular volume was 14¤ 0 (CV 0¤ 90) cm 3 in the control males and statistically significantly smaller, 12¤ 2 (CV 0¤ 75) cm 3 , in the GTS group,¨F 0¤ 04. The mean volume of the ventricular system in the GTS females (9¤ 71 (CV 0¤ 41) cm 3 ) was rather close to that of the control females (10¤ 7 (CV 1¤ 57) cm 3 ) (see Fig.…”

Section: Resultsmentioning

confidence: 85%

“…The estimation of the volume of the ventricular system was performed on an average of 4¤ 0 scan plans (2)(3)(4)(5). The polaroid pictures were transferred to a videoscreen via a video camera.…”

Section: Stereologymentioning

confidence: 99%

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Decreased Volume of the Cerebral Ventricles on CT Images in Gilles de la Tourette’s Syndrome

Regeur

Korbo

Bang

et al. 1999

Behavioural Neurology

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The aim of the present study was to estimate the volume of the ventricular system comprising lateral plus third ventricles in patients with Gilles de la Tourette's syndrome on computed tomographic (CT) scannings using unbiased stereological principles and to compare that volume with a control group. We found a significantly reduced ventricular volume in 24 patients with Gilles de la Tourette's syndrome (GTS) compared with 28 controls.

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“…The case of transparent spherical particles in an opaque specimen can be dealt with by the same type of applied probability arguments as are adopted in this paper (COLEMAN, 1983). HO&K (1980) considers an application with both transparent and opaque profiles, the transparent ones being caused by opaque particles being extracted from the slice and leaving holes.…”

Section: Introductionmentioning

confidence: 99%

The Sizes of Spheres from Profiles in a Thin Slice I. Opaque Spheres

Coleman

1982

Biometrical J

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Thin slices through specimens am made into slides for use in microscopy. If a specimen consists of opaque spherical particles in a transparent medium, there will be seen through the slice circular profiles of particles and sections through particles. For a random slice. the size distributios of these profiles can be related to the size dktribution of the population of spheres. The extensive literature dealing with this relationship iS surveyed.An important generalization of praotiad importanoe is made with the introduction of a reaolution interval which excludes .from observation those profilea that are too large or too small. How this affects the relationship between the profile and sphere size distributions is considered, and some special cases are used as illustrations.In Part I1 (COLEHAN, 1983) the corresponding results for the case of transparent spheres in an opaque specimen are given.

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The Sizes of Spheres from Profiles in a Thin Slice II. Transparent Spheres

Cited by 8 publications

References 5 publications

Distribution‐free estimation of sphere size distributions from slabs showing overprojection and truncation, with a review of previous methods

Distribution‐free estimation of sphere size distributions from slabs showing overprojection and truncation, with a review of previous methods

Decreased Volume of the Cerebral Ventricles on CT Images in Gilles de la Tourette’s Syndrome

The Sizes of Spheres from Profiles in a Thin Slice I. Opaque Spheres

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