[en] 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.
Disciplines :
Mathematics
Author, co-author :
Esser, Céline ; Université de Liège - ULiège > Mathematics
Launay, Claire; UBS - Université de Bretagne Sud [FR] > UMR CNRS 6205, LMBA
Loosveldt, Laurent ; Université de Liège - ULiège > Département de mathématique > Probabilités - Analyse stochastique
Vedel, Béatrice; UBS - Université de Bretagne Sud [FR] > UMR CNRS 6205, LMBA
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