2018/12/11 by Pierre-Yves Gousenbourger, Gousenbourger, Pierre-Yves, Estelle Massart +4
Computer Science · Engineering · Mathematics · #3D Shape Modeling and Analysis #Advanced Numerical Analysis Techniques #Computer Graphics and Visualization Techniques #FOS: Computer and information sciences #Information Theory (cs.IT) #cs.IT #math.IT
paper · pdf · doi:10.48550/arxiv.1812.04420
in Proceedings of iTWIST'18, Paper-ID: 18, Marseille, France, November, 21-23, 2018
arxiv created 2018/12/11 · openalex publication_date 2018/12/11 · arxiv updated 2018/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a method to compute a fitting curve B to a set of data points d0,...,dm lying on a manifold M. That curve is obtained by blending together Euclidean Bézier curves obtained on different tangent spaces. The method guarantees several properties among which B is C1 and is the natural cubic smoothing spline when M is the Euclidean space. We show examples on the sphere S2 as a proof of concept.