Volume estimation of 3D particles with known convex shapes from its projected areas

The aim of this article is to present a new projective stereological image processing method to estimate the volume of a 3D particle with known convex shape from its different projected areas. In order to do so, an optimization algorithm is performed to determine the size parameters of the particle which maximize the likelihood function of the probability density associated with the observed projected areas. Therefore, the volume of the 3D particle can be deduced.