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Size and shape estimation of 3-D convex objects from their 2-D projections: application to crystallization processes

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-00761553
Contributor : Andrée-Aimée Toucas <>
Submitted on : Wednesday, December 5, 2012 - 4:42:23 PM
Last modification on : Thursday, October 22, 2020 - 11:34:03 AM

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Benoît Presles, Johan Debayle, Jean-Charles Pinoli. Size and shape estimation of 3-D convex objects from their 2-D projections: application to crystallization processes. Journal of Microscopy, Wiley, 2012, 248 (2), pp.140-155. ⟨10.1111/j.1365-2818.2012.03658.x⟩. ⟨hal-00761553⟩

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