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Gaussian Random Particles with Flexible Hausdorff Dimension

Gaussian Random Particles with Flexible Hausdorff Dimension

Gaussian particles provide a flexible framework for modelling and simulating three-dimensional star-shaped random sets. In our framework, the radial function of the particle arises from a kernel smoothing, and is associated with an isotropic random field on the sphere. If the kernel is a von Mises-Fisher density, or uniform on …