Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643007 | Journal of Computational and Applied Mathematics | 2006 | 15 Pages |
Abstract
This paper presents a simple geometric algorithm to generate splines of arbitrary degree of smoothness in Euclidean spaces. Unlike other existing methods, this simple geometric algorithm does not require a recursive procedure and, consequently, introduces a significant reduction in calculation time. The algorithm is then extended to other complete Riemannian manifolds, namely to matrix Lie groups and spheres.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Janusz Jakubiak, Fátima Silva Leite, Rui C. Rodrigues,