BEZIER SPLINES INTERPOLATION ON STIEFEL AND GRASSMANN MANIFOLDS

作     者：Ines Adouani Chafik Samir 

作者机构：Department of MathematicsUniversity of SousseTunisia LIMOS-CNRSUniversity of Clermont AuvergneFrance 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2024年第42卷第6期

页      面：1554-1578页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：funded by the CNRS PRI 

主　　题：Optimization B´ezier spline Curve fitting Grassmann manifolds Stiefel manifolds Canonical metrics 

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 *** that end,we reduce interpolation problem to the classical Euclidean setting,allowing us to directly leverage the extensive toolbox of spline *** interpolated curve enjoy a number of nice properties:The solution exists and is optimal in many common *** applications,the structures with respect to chosen Riemannian metrics are detailed resulting in additional computational advantages.