Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11400
Title: | A new geometric algorithm to generate smooth interpolating curves on Riemannian manifolds | Authors: | Rodrigues, Rui C. Leite, Fátima Silva Jakubiak, Janusz |
Keywords: | Riemannian manifold; Lie group; Spline functions; Geometric algorithm; Casteljau algorithm | Issue Date: | 2004 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 04-37 (2004) | 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. | URI: | https://hdl.handle.net/10316/11400 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
A new geometric algorithm to generate smooth interpolating curves.pdf | 234.69 kB | Adobe PDF | View/Open |
Page view(s) 50
541
checked on Oct 15, 2024
Download(s)
144
checked on Oct 15, 2024
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.