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• W2912746879 abstract "The problem of constructing flexible stochastic models to describe the variability in shape of solid particles is challenging. Natural objects often exhibit mono- or multi-fractal features, i.e. irregular shapes and self-similar patterns. This paper presents a general framework for modelling three-dimensional star-shaped particles with a locally variable Hausdorff (or fractal) dimension. In our approach, the radial function of the particle is represented by an anisotropic Gaussian random field on the sphere. We additionally derive a simulation algorithm being parenthetical to the spectral turning bands method proposed in Euclidean spaces. We illustrate the use of our proposal through numerical examples, including a multifractal simulated version of the Earth topography." @default.
• W2912746879 created "2019-02-21" @default.
• W2912746879 creator A5002766415 @default.
• W2912746879 date "2019-01-22" @default.
• W2912746879 modified "2023-09-27" @default.
• W2912746879 title "Modelling and simulation of multifractal star-shaped particles" @default.
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• W2912746879 hasPublicationYear "2019" @default.
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