Fast method to fit a \(\mathcal {C}^1\) piecewise-Bézier function to manifold-valued data points: how suboptimal is the curve obtained on the sphere \(\mathbb {S}^2\)?

DOI10.1007/978-3-319-68445-1_69zbMath1428.65001OpenAlexW2767150966MaRDI QIDQ1689201

Pierre-Yves Gousenbourger, Laurent Jacques, Pierre-Antoine Absil

Publication date: 12 January 2018

Full work available at URL: https://doi.org/10.1007/978-3-319-68445-1_69

zbMATH Keywords

Bézier functionsoptimization on manifoldspath fitting on Riemannian manifolds

Mathematics Subject Classification ID

Multidimensional problems (41A63) Measures of information, entropy (94A17) Computer-aided design (modeling of curves and surfaces) (65D17)

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