Paretian similarity for partial comparison of non-rigid objects
Bronstein AM, Bronstein MM, Bruckstein AM, Kimmel R. 2007. Paretian similarity for partial comparison of non-rigid objects. First International Conference on Scale Space and Variational Methods in Computer Vision. SSVM: Scape Space and Variational Methods in Computer Vision, LNCS, vol. 4485, 264–275.
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Conference Paper
| Published
| English
Scopus indexed
Author
Bronstein, Alex M.ISTA 
;
Bronstein, Michael M.;
Bruckstein, Alfred M.;
Kimmel, Ron
;
Bronstein, Michael M.;
Bruckstein, Alfred M.;
Kimmel, RonSeries Title
LNCS
Abstract
In this paper, we address the problem of partial comparison of non-rigid objects. We introduce a new class of set-valued distances, related to the concept of Pareto optimality in economics. Such distances allow to capture intrinsic geometric similarity between parts of non-rigid objects, obtaining semantically meaningful comparison results. The numerical implementation of our method is computationally efficient and is similar to GMDS, a multidimensional scaling-like continuous optimization problem.
Publishing Year
Date Published
2007-06-15
Proceedings Title
First International Conference on Scale Space and Variational Methods in Computer Vision
Publisher
Springer Nature
Volume
4485
Page
264-275
Conference
SSVM: Scape Space and Variational Methods in Computer Vision
Conference Location
Ischia, Italy
Conference Date
2007-05-30 – 2007-06-02
ISBN
IST-REx-ID
Cite this
Bronstein AM, Bronstein MM, Bruckstein AM, Kimmel R. Paretian similarity for partial comparison of non-rigid objects. In: First International Conference on Scale Space and Variational Methods in Computer Vision. Vol 4485. Springer Nature; 2007:264-275. doi:10.1007/978-3-540-72823-8_23
Bronstein, A. M., Bronstein, M. M., Bruckstein, A. M., & Kimmel, R. (2007). Paretian similarity for partial comparison of non-rigid objects. In First International Conference on Scale Space and Variational Methods in Computer Vision (Vol. 4485, pp. 264–275). Ischia, Italy: Springer Nature. https://doi.org/10.1007/978-3-540-72823-8_23
Bronstein, Alex M., Michael M. Bronstein, Alfred M. Bruckstein, and Ron Kimmel. “Paretian Similarity for Partial Comparison of Non-Rigid Objects.” In First International Conference on Scale Space and Variational Methods in Computer Vision, 4485:264–75. Springer Nature, 2007. https://doi.org/10.1007/978-3-540-72823-8_23.
A. M. Bronstein, M. M. Bronstein, A. M. Bruckstein, and R. Kimmel, “Paretian similarity for partial comparison of non-rigid objects,” in First International Conference on Scale Space and Variational Methods in Computer Vision, Ischia, Italy, 2007, vol. 4485, pp. 264–275.
Bronstein AM, Bronstein MM, Bruckstein AM, Kimmel R. 2007. Paretian similarity for partial comparison of non-rigid objects. First International Conference on Scale Space and Variational Methods in Computer Vision. SSVM: Scape Space and Variational Methods in Computer Vision, LNCS, vol. 4485, 264–275.
Bronstein, Alex M., et al. “Paretian Similarity for Partial Comparison of Non-Rigid Objects.” First International Conference on Scale Space and Variational Methods in Computer Vision, vol. 4485, Springer Nature, 2007, pp. 264–75, doi:10.1007/978-3-540-72823-8_23.
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