Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

On the geometry of rolling and interpolation curves on S-n, SOn, and Grassmann manifolds

Date

Authors

Hueper, Knut

Leite, F Silva

Publisher

Springer

Abstract

We present a procedure to generate smooth interpolating curves on submanifolds, which are given in closed form in terms of the coordinates of the embedding space. In contrast to other existing methods, this approach makes the corresponding algorithm easy

Keywords

Keywords: Constrained variational problems; Grassmann manifold; Orthogonal group; Parallel transport; Rolling mapping; Constraint theory; Geometry; Kinematics; Polynomials; Vectors; Interpolation Constrained variational problems; Geodesics; Geometric splines; Grassmann manifold; Interpolation; Kinematic equation; Orthogonal group; Parallel transport; Rolling mapping; Sphere

URI

http://hdl.handle.net/1885/54055

Collections

ANU Research Publications

Source

Journal of Dynamical and Control Systems

Type

Journal article

DOI

10.1007/s10883-007-9027-3

Restricted until

2037-12-31

Downloads

File

Description

01_Hueper_On_the_geometry_of_rolling_and_2007.pdf (647.37 KB)