A GENERALIZED CLASS OF TRANSFORMATION MATRICES FOR THE RECONSTRUCTION OF SPHERE SIZE DISTRIBUTIONS FROM SECTION CIRCLE SIZE DISTRIBUTIONS

A GENERALIZED CLASS OF TRANSFORMATION MATRICES FOR THE RECONSTRUCTION OF SPHERE SIZE DISTRIBUTIONS FROM SECTION CIRCLE SIZE DISTRIBUTIONS

A generalized formulation of transformation matrices is given for the reconstruction of sphere diameter distributions from their section circle diameter distributions. This generalized formulation is based on a weight shift parameter that can be adjusted from 0 to 1. It includes the well-known Salty...

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Bibliographic Details
Main Authors: Willi Pabst, Tereza Uhlirova
Format: Article
Language:English
Published: University of Chemistry and Technology, Prague 2017-03-01
Series:Ceramics-Silikáty
Subjects:
Random section problem
Wicksell's corpuscle problem
Saltykov transformation
Cruz-Orive transformation
Wicksell transformation
Woodhead transformation
Spherical inclusions (pores, grains, particles)
Planar / polished sections
Microscopic image analysis
Sphere / section circle diameter
Monosized spheres
Monodisperse / monomodal distribution
Dirac distribution, Bidisperse / bimodal distribution
Uniform (rectangular) distribution
Linear (triangular saw-tooth) distribution
Rayleigh distribution
Frequency / cumulative histogram
Arithmetic mean size
Online Access: http://www.ceramics-silikaty.cz/index.php?page=cs_detail_doi&id=874

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