S. Joshi
A Novel Representation for Riemannian Analysis of Elastic Curves in R^{n}
Joshi, S.; Klassen, E.; Srivastava, A.; Jermyn, I.H.
Abstract
We propose a novel representation of continuous, closed curves in Rn that is quite efficient for analyzing their shapes. We combine the strengths of two important ideas-elastic shape metric and path-straightening methods - in shape analysis and present a fast algorithm for finding geodesies in shape spaces. The elastic metric allows for optimal matching of features while path-straightening provides geodesies between curves. Efficiency results from the fact that the elastic metric becomes the simple L2 metric in the proposed representation. We present step-by-step algorithms for computing geodesies in this framework, and demonstrate them with 2-D as well as 3-D examples.
Citation
Joshi, S., Klassen, E., Srivastava, A., & Jermyn, I. (2007, June). A Novel Representation for Riemannian Analysis of Elastic Curves in R^{n}. Presented at 2007 IEEE Conference on Computer Vision and Pattern Recognition, Minneapolis
Presentation Conference Type | Conference Paper (published) |
---|---|
Conference Name | 2007 IEEE Conference on Computer Vision and Pattern Recognition |
Publication Date | Jun 1, 2007 |
Deposit Date | Aug 12, 2011 |
Publicly Available Date | May 24, 2016 |
Publisher | Institute of Electrical and Electronics Engineers |
Pages | 1-7 |
Book Title | 2007 IEEE Conference on Computer Vision and Pattern Recognition |
DOI | https://doi.org/10.1109/cvpr.2007.383185 |
Public URL | https://durham-repository.worktribe.com/output/1158001 |
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© 2007 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
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