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Stereology of single objects
Authors:L. M. Cruz-Orive
Affiliation:Departamento de Matemáticas, Estadística y Computación, Facultad de Ciencias, Universidad de Cantabria, Avda. Los Castros s/n, E-39005 Santander, Spain
Abstract:Systematic stacks of Cavalieri type, spatial grids, vertical sections and projections, etc., are recent sampling tools for the stereology of single objects, namely of isolated objects that can be orientated and scanned at will in a prescribed way. The increasing use of modern noninvasive scanning devices is facing potential users with the challenge of encompassing the necessary knowledge to implement 'good' stereology. The present paper presents a coherent set of recent stereological methods for single objects in a historical perspective, emphasizing the fact that all relevant techniques — old and new — emanate from a common, relatively small set of basic principles.
Keywords:Buffon needle    Cavalieri estimator    design-based stereology    disector    fakir estimator    fractionator    isotropic uniform random object    length    model-based stereology    particle number    spatial grid    surface area    test system    total vertical projections    vertical sections    vertical slices    vertical spatial grid    volume.
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