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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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