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Single Object Geometry — The Stereology of Registered Serial Sections

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Mathematical Morphology and Its Applications to Image Processing

Part of the book series: Computational Imaging and Vision ((CIVI,volume 2))

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Abstract

The advent of the confocal microscope has stimulated the development of a series of new design-based stereological estimators that require perfectly registered serial sections. Most classical first order stereological estimators, which do not employ registered serial sections, deliver estimates that are an average over all features in the reference volume. This approach is very efficient and remains the most expedient way of obtaining such data. However the collection of data from an ‘unbiased brick’ (Howard et al., 1995) made up of perfectly registered serial sections opens the way for the accurate stereological measurement of geometrical features of a single object. It also provides a sampling mechanism for the measurement of second order stereological properties.

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© 1994 Springer Science+Business Media Dordrecht

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Howard, C.V. (1994). Single Object Geometry — The Stereology of Registered Serial Sections. In: Serra, J., Soille, P. (eds) Mathematical Morphology and Its Applications to Image Processing. Computational Imaging and Vision, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1040-2_39

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  • DOI: https://doi.org/10.1007/978-94-011-1040-2_39

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4453-0

  • Online ISBN: 978-94-011-1040-2

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