Weighted tensorized fractional Brownian textures
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866916680726216704 |
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| author | Esser, Céline Launay, Claire Loosveldt, Laurent Vedel, Béatrice |
| author_facet | Esser, Céline Launay, Claire Loosveldt, Laurent Vedel, Béatrice |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03313 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weighted tensorized fractional Brownian textures Esser, Céline Launay, Claire Loosveldt, Laurent Vedel, Béatrice Probability 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. |
| title | Weighted tensorized fractional Brownian textures |
| topic | Probability |
| url | https://arxiv.org/abs/2406.03313 |