2017 • Conference Paper
Piecewise-Bezier C1 smoothing on manifolds with application to wind field estimation
Authors:
Gousenbourger, Pierre-Yves,
Massart, Estelle ,
Musolas, Antoni,
Absil, Pierre-Antoine ,
Hendrickx, Julien ,
Jacques, Laurent ,
Marzouk, Youssef
Published in:
ESANN 2017, European Symposium on Artificial Neural Networks
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.