Weighted tensorized fractional Brownian textures
Probability
2025-04-10 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2406.03313,
title = {Weighted tensorized fractional Brownian textures},
author = {Céline Esser and Claire Launay and Laurent Loosveldt and Béatrice Vedel},
journal= {arXiv preprint arXiv:2406.03313},
year = {2025}
}