Equi-affine invariant geometries of articulated objects
Raviv D, Bronstein AM, Bronstein MM, Kimmel R, Sochen N. 2012. Equi-affine invariant geometries of articulated objects. 15th International Workshop on Theoretical Foundations of Computer Vision. International Workshop on Theoretical Foundations of Computer Vision, LNCS, vol. 7474, 177–190.
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Conference Paper
| Published
| English
Scopus indexed
Author
Raviv, Dan;
Bronstein, Alex M.ISTA 
;
Bronstein, Michael M.;
Kimmel, Ron;
Sochen, Nir
;
Bronstein, Michael M.;
Kimmel, Ron;
Sochen, NirSeries Title
LNCS
Abstract
We introduce an (equi-)affine invariant geometric structure by which surfaces that go through squeeze and shear transformations can still be properly analyzed. The definition of an affine invariant metric enables us to evaluate a new form of geodesic distances and to construct an invariant Laplacian from which local and global diffusion geometry is constructed. Applications of the proposed framework demonstrate its power in generalizing and enriching the existing set of tools for shape analysis.
Publishing Year
Date Published
2012-09-01
Proceedings Title
15th International Workshop on Theoretical Foundations of Computer Vision
Publisher
Springer Nature
Volume
7474
Page
177-190
Conference
International Workshop on Theoretical Foundations of Computer Vision
Conference Location
Dagstuhl, Germany
Conference Date
2011-06-26 – 2011-07-01
ISBN
ISSN
eISSN
IST-REx-ID
Cite this
Raviv D, Bronstein AM, Bronstein MM, Kimmel R, Sochen N. Equi-affine invariant geometries of articulated objects. In: 15th International Workshop on Theoretical Foundations of Computer Vision. Vol 7474. Springer Nature; 2012:177-190. doi:10.1007/978-3-642-34091-8_8
Raviv, D., Bronstein, A. M., Bronstein, M. M., Kimmel, R., & Sochen, N. (2012). Equi-affine invariant geometries of articulated objects. In 15th International Workshop on Theoretical Foundations of Computer Vision (Vol. 7474, pp. 177–190). Dagstuhl, Germany: Springer Nature. https://doi.org/10.1007/978-3-642-34091-8_8
Raviv, Dan, Alex M. Bronstein, Michael M. Bronstein, Ron Kimmel, and Nir Sochen. “Equi-Affine Invariant Geometries of Articulated Objects.” In 15th International Workshop on Theoretical Foundations of Computer Vision, 7474:177–90. Springer Nature, 2012. https://doi.org/10.1007/978-3-642-34091-8_8.
D. Raviv, A. M. Bronstein, M. M. Bronstein, R. Kimmel, and N. Sochen, “Equi-affine invariant geometries of articulated objects,” in 15th International Workshop on Theoretical Foundations of Computer Vision, Dagstuhl, Germany, 2012, vol. 7474, pp. 177–190.
Raviv D, Bronstein AM, Bronstein MM, Kimmel R, Sochen N. 2012. Equi-affine invariant geometries of articulated objects. 15th International Workshop on Theoretical Foundations of Computer Vision. International Workshop on Theoretical Foundations of Computer Vision, LNCS, vol. 7474, 177–190.
Raviv, Dan, et al. “Equi-Affine Invariant Geometries of Articulated Objects.” 15th International Workshop on Theoretical Foundations of Computer Vision, vol. 7474, Springer Nature, 2012, pp. 177–90, doi:10.1007/978-3-642-34091-8_8.
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