Shape modelling of spatial particles from planar central sections -- a case study
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Updated: Aug 23, 2026

Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence
Published on: June 24, 2016
M L Hannila1, E B Vedel Jensen, A Hobolth
1Department of Mathematical Sciences, University of Oulu, Finland.
Abstract:
In this paper we develop statistical tools for shape modelling of spatial particles from central sections through the particles. The particles are assumed to be star-shaped with respect to a reference point inside the particles and are modelled as stochastic deformations of spheres centred at the reference points. The resulting particles are rotation invariant with respect to the reference point. As an illustration, the model is applied to study shape differences between neurons in the Granular and CA1 layer in the human hippocampus.
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