Sparse wavefield reconstruction and denoising with boostlets
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915738574389248 |
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| author | Zea, Elias Laudato, Marco Andén, Joakim |
| author_facet | Zea, Elias Laudato, Marco Andén, Joakim |
| contents | Boostlets are spatiotemporal functions that decompose nondispersive wavefields into a collection of localized waveforms parametrized by dilations, hyperbolic rotations, and translations. We study the sparsity properties of boostlets and find that the resulting decompositions are significantly sparser than those of other state-of-the-art representation systems, such as wavelets and shearlets. This translates into improved denoising performance when hard-thresholding the boostlet coefficients. The results suggest that boostlets offer a natural framework for sparsely decomposing wavefields in unified space-time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_08230 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sparse wavefield reconstruction and denoising with boostlets Zea, Elias Laudato, Marco Andén, Joakim Audio and Speech Processing Sound Boostlets are spatiotemporal functions that decompose nondispersive wavefields into a collection of localized waveforms parametrized by dilations, hyperbolic rotations, and translations. We study the sparsity properties of boostlets and find that the resulting decompositions are significantly sparser than those of other state-of-the-art representation systems, such as wavelets and shearlets. This translates into improved denoising performance when hard-thresholding the boostlet coefficients. The results suggest that boostlets offer a natural framework for sparsely decomposing wavefields in unified space-time. |
| title | Sparse wavefield reconstruction and denoising with boostlets |
| topic | Audio and Speech Processing Sound |
| url | https://arxiv.org/abs/2502.08230 |