A modified Casteljau algorithm to solve interpolation problems on Stiefel manifolds
Authors:
- Krzysztof A. KrakowskiKKKrzysztof A. Krakowski
- Luís MachadoLMLuís Machado
- Fátima Silva LeiteFLFátima Silva Leite
- Jorge BatistaJBJorge Batista
- 1 February 2017
- journal article
- research article
- Published by Elsevier in Journal of Computational and Applied Mathematics
- Vol. 311, 84-99
Abstract
No abstract availableKeywords
Funding Information
- FCT (PTDC/EEA-CRO/122812/2010)
This publication has 14 references indexed in Scilit:
- Geometric mean and geodesic regression on GrassmanniansLinear Algebra and its Applications, 2015
- De Casteljauʼs algorithm on manifoldsComputer Aided Geometric Design, 2013
- Geodesics in infinite dimensional Stiefel and Grassmann manifoldsComptes Rendus Mathematique, 2012
- Fitting smoothing splines to time-indexed, noisy points on nonlinear manifoldsImage and Vision Computing, 2012
- Functions of Matrices2008
- Bézier curves and interpolation in Riemannian manifoldsJournal of Approximation Theory, 2007
- Riemannian Geometry of Grassmann Manifolds with a View on Algorithmic ComputationActa Applicandae Mathematicae, 2004
- The De Casteljau Algorithm on Lie Groups and SpheresJournal of Dynamical and Control Systems, 1999
- The Geometry of Algorithms with Orthogonality ConstraintsSIAM Journal on Matrix Analysis and Applications, 1998
- Be´zier Curves on Riemannian Manifolds and Lie Groups with Kinematics ApplicationsJournal of Mechanical Design, 1995