Size and shape estimation of 3-D convex objects from their 2-D projections: application to crystallization processes.
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.
École Nationale Supérieure des Mines de Saint-Étienne, CIS-SPIN-LPMG/CNRS, 158 cours Fauriel, 42023 Saint-Étienne cedex 2, France.
B
B
Presles
J
J
Debayle
J-C
JC
Pinoli