S. Joshi
Removing Shape-Preserving Transformations in Square-Root Elastic (SRE) Framework for Shape Analysis of Curves
Joshi, S.; Klassen, E.; Srivastava, A.; Jermyn, I.H.
Authors
Contributors
A. L. Yuille
Editor
S. C. Zhu
Editor
D. Cremers
Editor
Y. T. Wang
Editor
Abstract
This paper illustrates and extends an efficient framework, called the square-root-elastic (SRE) framework, for studying shapes of closed curves, that was first introduced in [2]. This framework combines the strengths of two important ideas - elastic shape metric and path-straightening methods - for finding geodesics in shape spaces of curves. The elastic metric allows for optimal matching of features between curves while path-straightening ensures that the algorithm results in geodesic paths. This paper extends this framework by removing two important shape preserving transformations: rotations and re-parameterizations, by forming quotient spaces and constructing geodesics on these quotient spaces. These ideas are demonstrated using experiments involving 2D and 3D curves.
Citation
Joshi, S., Klassen, E., Srivastava, A., & Jermyn, I. (2007, August). Removing Shape-Preserving Transformations in Square-Root Elastic (SRE) Framework for Shape Analysis of Curves. Presented at 6th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition, Ezhou
Presentation Conference Type | Conference Paper (published) |
---|---|
Conference Name | 6th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition |
Publication Date | Aug 1, 2007 |
Deposit Date | Aug 12, 2011 |
Publicly Available Date | Apr 20, 2016 |
Print ISSN | 0302-9743 |
Volume | 4679 |
Pages | 387-398 |
Series Title | Lecture notes in computer science |
Series Number | 4679 |
Series ISSN | 0302-9743 |
Book Title | Energy minimization methods in computer vision and pattern recognition. |
DOI | https://doi.org/10.1007/978-3-540-74198-5_30 |
Public URL | https://durham-repository.worktribe.com/output/1158650 |
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Copyright Statement
The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-540-74198-5_30
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