TY  - JOUR
A1  - Hüper, Knut
A1  - Silva Leite, Fátima
T1  - Endpoint geodesic formulas on Graßmannians applied to interpolation problems
JF  - Mathematics
N2  - Simple closed formulas for endpoint geodesics on Graßmann manifolds are presented. In addition to realizing the shortest distance between two points, geodesics are also essential tools to generate more sophisticated curves that solve higher order interpolation problems on manifolds. This will be illustrated with the geometric de Casteljau construction offering an excellent alternative to the variational approach which gives rise to Riemannian polynomials and splines.
KW  - Graßmannians
KW  - Lie group actions
KW  - rotations
KW  - reflections
KW  - endpoint geodesics
KW  - de Casteljau Algorithm
KW  - MSC: 53C22
KW  - MSC: 53C35
KW  - MSC: 14M15
Y1  - 2023
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-327016
SN  - 2227-7390
VL  - 11
IS  - 16
ER  -