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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | https://arxiv.org/abs/2407.14275 |
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| _version_ | 1866929427679543296 |
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| author | Gilles, Jerome |
| author_facet | Gilles, Jerome |
| contents | Recently, the construction of 2D empirical wavelets based on partitioning the Fourier domain with the watershed transform has been proposed. If such approach can build partitions of completely arbitrary shapes, for some applications, it is desirable to keep a certain level of regularity in the geometry of the obtained partitions. In this paper, we propose to build such partition using Voronoi diagrams. This solution allows us to keep a high level of adaptability while guaranteeing a minimum level of geometric regularity in the detected partition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14275 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Empirical Voronoi Wavelets Gilles, Jerome Computational Engineering, Finance, and Science 42C40, 68U10 Recently, the construction of 2D empirical wavelets based on partitioning the Fourier domain with the watershed transform has been proposed. If such approach can build partitions of completely arbitrary shapes, for some applications, it is desirable to keep a certain level of regularity in the geometry of the obtained partitions. In this paper, we propose to build such partition using Voronoi diagrams. This solution allows us to keep a high level of adaptability while guaranteeing a minimum level of geometric regularity in the detected partition. |
| title | Empirical Voronoi Wavelets |
| topic | Computational Engineering, Finance, and Science 42C40, 68U10 |
| url | https://arxiv.org/abs/2407.14275 |