A two-step algorithm of smooth spline generation on Riemannian manifolds
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....
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| Other Authors: | , |
| Format: | article |
| Language: | eng |
| Published: |
2006
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10316/4612 |
| Country: | Portugal |
| Oai: | oai:estudogeral.sib.uc.pt:10316/4612 |
| Summary: | 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. |
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