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Piecewise-Bezier C1 smoothing on manifolds with application to wind field estimation

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Gousenbourger, Pierre-Yves [UCL] Massart, Estelle [UCL] Musolas, Antoni [MIT] Absil, Pierre-Antoine [UCL] Hendrickx, Julien [UCL] Jacques, Laurent [UCL] Marzouk, Youssef [MIT]

We propose an algorithm for fitting C1 piecewise-Bezier curves to (possibly corrupted) data points on manifolds. The curve is chosen as a compromise between proximity to data points and regularity. We apply our algorithm as an example to fit a curve to a set of low-rank covariance matrices, a task arising in wind field modeling. We show that our algorithm has denoising abilities for this application.

Document type Communication à un colloque (Conference Paper) – Présentation orale avec comité de sélection
Access type Accès restreint
Publication date 2017
Language Anglais
Conference "ESANN 2017, European Symposium on Artificial Neural Networks", Bruges (Belgium) (du 26/04/2017 au 28/04/2017)
Peer reviewed yes
Host document "25th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2017)"- 305-3010 (ISBN : 978-287587039-1)
Publication status Publié
Affiliations UCL - SST/ICTM/ELEN - Pôle en ingénierie électrique
UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique
Keywords ISPGroup
Links
Bibliographic reference Gousenbourger, Pierre-Yves ; Massart, Estelle ; Musolas, Antoni ; Absil, Pierre-Antoine ; Hendrickx, Julien ; et. al. Piecewise-Bezier C1 smoothing on manifolds with application to wind field estimation.ESANN 2017, European Symposium on Artificial Neural Networks (Bruges (Belgium), du 26/04/2017 au 28/04/2017). In: 25th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2017), 2017, p.305-3010
Permanent URL http://hdl.handle.net/2078.1/186413