Summary
Three stages in the stereological analysis of two-phase particles are identified. These are illustrated by (a) random probes and sections through a sphere with a spherical nucleus, (b) random probes through discs with a chord as phase interface, and (c) random probes and sections through a population of right cylinders with convex cross-sections and perpendicular cross-section phase interfaces.
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References
COLEMAN R. (1969) Random paths through convex bodies. J. Appl. Prob. 6, 430–441.
COLEMAN R. (1973) Random paths through rectangles and cubes. Metallography 6, 103–114.
DAVY P, and MILES R.E. (1977) Sampling theory for opaque spatial specimens. J.R. Statist. Soc. B 39, 56–65.
DEHOFF R.T. (1978) Stereological uses of the area tangent count. This volume.
HORTON R. (1976) Automatic linear measurement and assessment of composite particles. Unpublished report.
JONES M.P., COLEMAN R. and HORTON R. (1978) The assessment of composite particles from linear measurements. Proceedings of the Second European Symposium on Quantitative Analysis of Microstructures in Biology, Materials Science and Medicine. Caen, France,October 1977. To appear in Practical Metallography, special issue Vol. 8.
KELLERER A.M. (1971) Considerations on the random traversal of convex bodies and solutions for general cylinders. Radiation Research 47, 359–376.
KENDALL M.G. and MORAN P.A.P. (1963) Geometrical probability. Griffin, London.
MILES R.E. (1978) The importance of the proper specification of underlying models in stereology. This volume.
TAKAHASHI T. (1978) Stereological and topological analysis of cirrhotic livers as a linkage of regenerative nodules multiply connected in the form of three-dimensional network. This volume.
MILES R.E. and DAVY P. (1976) Precise and general conditions for the validity of a comprehensive set of stereological fundamental formulae. J. Microsc. 107, 211–226.
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Coleman, R. (1978). The Stereological Analysis of Two-Phase Particles. In: Miles, R.E., Serra, J. (eds) Geometrical Probability and Biological Structures: Buffon’s 200th Anniversary. Lecture Notes in Biomathematics, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93089-8_4
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DOI: https://doi.org/10.1007/978-3-642-93089-8_4
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