Piecewise-Bezier C1 smoothing on manifolds with application to wind field estimation
(2017) ESANN 2017, European Symposium on Artificial Neural Networks — Location: Bruges (Belgium) (26.April.2017)
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- Abstract
- 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.
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Citations
Gousenbourger, P.-Y., Massart, E., Musolas, A., Absil, P.-A., Hendrickx, J., Jacques, L., & Marzouk, Y. (2017). Piecewise-Bezier C1 smoothing on manifolds with application to wind field estimation. 25th European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN 2017), 305-3010. https://hdl.handle.net/2078.5/254227