Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11400
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Rodrigues, Rui C. | - |
dc.contributor.author | Leite, Fátima Silva | - |
dc.contributor.author | Jakubiak, Janusz | - |
dc.date.accessioned | 2009-09-14T14:58:55Z | - |
dc.date.available | 2009-09-14T14:58:55Z | - |
dc.date.issued | 2004 | - |
dc.identifier.citation | Pré-Publicações DMUC. 04-37 (2004) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11400 | - |
dc.description.abstract | This paper presents a new geometric algorithm to construct a C k- smooth spline curve that interpolates a given set of data (points and velocities) on a complete Riemannian manifold. Although based on a modification of the de Casteljau procedure, our algorithm is implemented in three steps only independently of the required degree of smoothness, and therefore introduces a significant reduction in complexity. The key role is played by the choice of an appropriate smoothing function which is defined as soon as the degree of smoothness is fixed. | en_US |
dc.description.sponsorship | POSI/SRI/41618/2001; ISR - Coimbra; PRODEP ; Control Training Site HPMT-CT-2001-00278 | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | en_US |
dc.subject | Riemannian manifold | en_US |
dc.subject | Lie group | en_US |
dc.subject | Spline functions | en_US |
dc.subject | Geometric algorithm | en_US |
dc.subject | Casteljau algorithm | en_US |
dc.title | A new geometric algorithm to generate smooth interpolating curves on Riemannian manifolds | en_US |
dc.type | preprint | en_US |
item.openairetype | preprint | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
crisitem.author.orcid | 0000-0003-2227-4259 | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
Files in This Item:
File | Description | Size | Format | |
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A new geometric algorithm to generate smooth interpolating curves.pdf | 234.69 kB | Adobe PDF | View/Open |
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