3 citations · 8 across the 7 of their papers we have counts for
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Stereological determination of particle size distributions for similar convex bodies
Thomas van der Jagt, Geurt Jongbloed, Martina Vittorietti
Consider an opaque medium which contains 3D particles. All particles are convex bodies of the same shape, but they vary in size. The particles are randomly positioned and oriented…
Existence and approximation of densities of chord length- and cross section area distributions
Thomas van der Jagt, Geurt Jongbloed, Martina Vittorietti
In various stereological problems an -dimensional convex body is intersected with an -dimensional Isotropic Uniformly Random (IUR) hyperplane. In this paper the cumulativ…
Isotonic regression for metallic microstructure data: estimation and testing under order restrictions
Martina Vittorietti, Javier Hidalgo, Jilt Sietsma +2
Investigating the main determinants of the mechanical performance of metals is not a simple task. Already known physical inspired qualitative relations between 2D microstructure ch…
General framework for testing Poisson-Voronoi assumption for real microstructures
Martina Vittorietti, Piet J. J. Kok, Jilt Sietsma +2
Modeling microstructures is an interesting problem not just in Materials Science but also in Mathematics and Statistics. The most basic model for steel microstructure is the Poisso…
Accurate approximation of the distributions of the 3D Poisson-Voronoi typical cell geometrical features
Martina Vittorietti, Geurt Jongbloed, Piet J. J. Kok +1
Although Poisson-Voronoi diagrams have interesting mathematical properties, there is still much to discover about the geometrical properties of its grains. Through simulations, man…