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

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dc.contributor.authorHueper, Knut
dc.contributor.authorLeite, F Silva
dc.date.accessioned2015-12-10T22:27:07Z
dc.date.issued2007
dc.date.updated2015-12-09T09:37:59Z
dc.description.abstractWe 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
dc.identifier.issn1079-2724
dc.identifier.urihttp://hdl.handle.net/1885/54055
dc.publisherSpringer
dc.sourceJournal of Dynamical and Control Systems
dc.subjectKeywords: 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
dc.titleOn the geometry of rolling and interpolation curves on S-n, SOn, and Grassmann manifolds
dc.typeJournal article
local.bibliographicCitation.issue4
local.bibliographicCitation.lastpage502
local.bibliographicCitation.startpage467
local.contributor.affiliationHueper, Knut, College of Engineering and Computer Science, ANU
local.contributor.affiliationLeite, F Silva, University of Coimbra
local.contributor.authoruidHueper, Knut, u4593430
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor090609 - Signal Processing
local.identifier.ariespublicationU1408929xPUB290
local.identifier.citationvolume13
local.identifier.doi10.1007/s10883-007-9027-3
local.identifier.scopusID2-s2.0-35548981394
local.type.statusPublished Version

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