Premium
Size and shape estimation of 3‐D convex objects from their 2‐D projections: application to crystallization processes
Author(s) -
PRESLES B.,
DEBAYLE J.,
PINOLI J.C.
Publication year - 2012
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.1365-2818.2012.03658.x
Subject(s) - regular polygon , object (grammar) , mathematics , computer science , geometry , artificial intelligence
Summary The aim of this paper is to present a new projective stereological method that enables to estimate the size and the shape of a three‐dimensional convex object from measurements only made on its two‐dimensional projections. To do so, some geometrical and morphometrical measurements on the projected shadows of the three‐dimensional convex object are done and the value of the three‐dimensional convex object size and shape parameters are retrieved using the maximum likelihood estimation method. The proposed method is then applied to estimate three‐dimensional particle size distributions during crystallization processes.