BEZIER SPLINES INTERPOLATION ON STIEFEL AND GRASSMANN MANIFOLDS  

作　　者：Ines Adouani Chafik Samir 

机构地区：[1]Department of Mathematics,University of Sousse,Tunisia [2]LIMOS-CNRS,University of Clermont Auvergne,France

出　　处：《Journal of Computational Mathematics》2024年第6期1554-1578,共25页计算数学（英文）

基　　金：funded by the CNRS PRI.

摘　　要：We propose a new method for smoothly interpolating a given set of data points on Grassmann and Stiefel manifolds using a generalization of the De Casteljau algorithm.To that end,we reduce interpolation problem to the classical Euclidean setting,allowing us to directly leverage the extensive toolbox of spline interpolation.The interpolated curve enjoy a number of nice properties:The solution exists and is optimal in many common situations.For applications,the structures with respect to chosen Riemannian metrics are detailed resulting in additional computational advantages.

关 键 词：OPTIMIZATION B´ezier spline Curve fitting Grassmann manifolds Stiefel manifolds Canonical metrics 

分 类 号：O18[理学—数学]