Wavelet sparse regularization for manifold-valued data
In this paper, we consider the sparse regularization of manifold-valued data with respect to an interpolatory wavelet/multiscale transform. We propose and study variational models for this task and provide results on their well-posedness. We present algorithms for a numerical realization of these mo...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
May 7, 2020
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| In: |
Multiscale modeling & simulation
Year: 2020, Volume: 18, Issue: 2, Pages: 674-706 |
| ISSN: | 1540-3467 |
| DOI: | 10.1137/19M1249801 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1137/19M1249801 Verlag, lizenzpflichtig, Volltext: https://epubs.siam.org/doi/abs/10.1137/19M1249801 
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| Author Notes: | Martin Storath and Andreas Weinmann |
| Summary: | In this paper, we consider the sparse regularization of manifold-valued data with respect to an interpolatory wavelet/multiscale transform. We propose and study variational models for this task and provide results on their well-posedness. We present algorithms for a numerical realization of these models in the manifold setup. Further, we provide experimental results to show the potential of the proposed schemes for applications. |
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| Item Description: | Gesehen am 06.08.2020 |
| Physical Description: | Online Resource |
| ISSN: | 1540-3467 |
| DOI: | 10.1137/19M1249801 |