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Pré-Publication, Document De Travail Année : 2024

Weighted tensorized fractional Brownian textures

Résumé

This paper presents a new model of textures, obtained as realizations of a new class of fractional Brownian fields. These fields, called weighted tensorized fractional Brownian fields, are obtained by a relaxation of the tensor-product structure that appears in the definition of fractional Brownian sheets. Statistical properties such as self-similarity, stationarity of rectangular increments and regularity properties are obtained. An operator scaling extension is defined and we provide simulations of the fields using their spectral representation.
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Dates et versions

hal-04611899 , version 1 (14-06-2024)

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Céline Esser, Claire Launay, Laurent Loosveldt, Béatrice Vedel. Weighted tensorized fractional Brownian textures. 2024. ⟨hal-04611899⟩
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