  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.
