Abstract
Let us consider opaque and convex particles distributed at random in space and which are included in a transparent structure. The determination of the size distribution of these particles from the size distribution of their sections with a body B of known shape (for example a plate, a plane, a cylinder, a line) belongs to the main problems of stereology. To-day the chief resource appropriated to such problems consists in an ingenious combination of methods belonging to three branches of mathematics. These are INTEGRAL GEOMETRY, GEOMETRICAL PROBABILITY and STATISTICS.
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References
Bach, G., Kugelgrößenverteilung und Verteilung der Schnittkreise; ihre wechselseitigen Beziehungen und Verfahren zur Bestimmung der einen aus der anderen. Symposium über quantitative Methoden in der Morphologie, Wiesbaden 1965 To appear in the next time by Springer-Verlag
Bach, G., Zufallsschnitte durch Haufwerke von Körpern, Braunschweig 1966
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Hadwiger, H., Altes und Neues über konvexe Körper, Birkhäuser Verlag 1955
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© 1967 Springer-Verlag New York Inc.
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Bach, G. (1967). Size Distribution of Particles Derived from the Size Distribution of Their Sections. In: Elias, H. (eds) Stereology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88260-9_32
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DOI: https://doi.org/10.1007/978-3-642-88260-9_32
Publisher Name: Springer, Berlin, Heidelberg
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