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Second‐order stereology for pores in translucent alumina studied by confocal scanning laser microscopy
Author(s) -
KARLSSON L. M.,
LILJEBORG A.
Publication year - 1994
Publication title -
journal of microscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.569
H-Index - 111
eISSN - 1365-2818
pISSN - 0022-2720
DOI - 10.1111/j.1365-2818.1994.tb03484.x
Subject(s) - stack (abstract data type) , centroid , confocal , laser microscopy , materials science , optics , microscope , randomness , scanning electron microscope , poisson distribution , physics , mathematics , geometry , computer science , statistics , programming language
Summary The three‐dimensional (3‐D) arrangement of pores in translucent alumina was investigated with a confocal scanning laser microscope (CSLM). By moving the focal plane of the CSLM down into the material, a stack of serial thin optical sections was obtained to produce a 3‐D image of the pores. Computer‐based image analysis was used to obtain the coordinates of the pore centroids. The distance distribution function G(r ) and the second‐order functions K(r), L(r), H(r ) and g(r ) were used to analyse the spatial point pattern of the pore centroids. Estimates of the preceding functions obtained from eight stacks of sections were compared with the corresponding functions for a 3‐D stationary Poisson point process, which served as a reference model for complete spatial randomness. The analysis suggested that the pore centroids were arranged in an aggregated pattern within a range of about 10 μm.