{"scopus_import":"1","year":"2012","oa_version":"None","date_created":"2024-10-15T11:20:54Z","date_published":"2012-09-01T00:00:00Z","article_processing_charge":"No","date_updated":"2025-01-16T10:12:48Z","_id":"18350","title":"Equi-affine invariant geometries of articulated objects","publication_status":"published","language":[{"iso":"eng"}],"author":[{"last_name":"Raviv","full_name":"Raviv, Dan","first_name":"Dan"},{"orcid":"0000-0001-9699-8730","full_name":"Bronstein, Alexander","first_name":"Alexander","last_name":"Bronstein","id":"58f3726e-7cba-11ef-ad8b-e6e8cb3904e6"},{"last_name":"Bronstein","full_name":"Bronstein, Michael M.","first_name":"Michael M."},{"first_name":"Ron","full_name":"Kimmel, Ron","last_name":"Kimmel"},{"first_name":"Nir","full_name":"Sochen, Nir","last_name":"Sochen"}],"alternative_title":["LNCS"],"quality_controlled":"1","extern":"1","page":"177-190","citation":{"short":"D. Raviv, A.M. Bronstein, M.M. Bronstein, R. Kimmel, N. Sochen, in:, 15th International Workshop on Theoretical Foundations of Computer Vision, Springer Nature, 2012, pp. 177–190.","ama":"Raviv D, Bronstein AM, Bronstein MM, Kimmel R, Sochen N. Equi-affine invariant geometries of articulated objects. In: <i>15th International Workshop on Theoretical Foundations of Computer Vision</i>. Vol 7474. Springer Nature; 2012:177-190. doi:<a href=\"https://doi.org/10.1007/978-3-642-34091-8_8\">10.1007/978-3-642-34091-8_8</a>","ieee":"D. Raviv, A. M. Bronstein, M. M. Bronstein, R. Kimmel, and N. Sochen, “Equi-affine invariant geometries of articulated objects,” in <i>15th International Workshop on Theoretical Foundations of Computer Vision</i>, Dagstuhl, Germany, 2012, vol. 7474, pp. 177–190.","chicago":"Raviv, Dan, Alex M. Bronstein, Michael M. Bronstein, Ron Kimmel, and Nir Sochen. “Equi-Affine Invariant Geometries of Articulated Objects.” In <i>15th International Workshop on Theoretical Foundations of Computer Vision</i>, 7474:177–90. Springer Nature, 2012. <a href=\"https://doi.org/10.1007/978-3-642-34091-8_8\">https://doi.org/10.1007/978-3-642-34091-8_8</a>.","apa":"Raviv, D., Bronstein, A. M., Bronstein, M. M., Kimmel, R., &#38; Sochen, N. (2012). Equi-affine invariant geometries of articulated objects. In <i>15th International Workshop on Theoretical Foundations of Computer Vision</i> (Vol. 7474, pp. 177–190). Dagstuhl, Germany: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-642-34091-8_8\">https://doi.org/10.1007/978-3-642-34091-8_8</a>","ista":"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.","mla":"Raviv, Dan, et al. “Equi-Affine Invariant Geometries of Articulated Objects.” <i>15th International Workshop on Theoretical Foundations of Computer Vision</i>, vol. 7474, Springer Nature, 2012, pp. 177–90, doi:<a href=\"https://doi.org/10.1007/978-3-642-34091-8_8\">10.1007/978-3-642-34091-8_8</a>."},"volume":7474,"publication":"15th International Workshop on Theoretical Foundations of Computer Vision","abstract":[{"lang":"eng","text":"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."}],"intvolume":"      7474","conference":{"start_date":"2011-06-26","end_date":"2011-07-01","location":"Dagstuhl, Germany","name":"International Workshop on Theoretical Foundations of Computer Vision"},"publication_identifier":{"isbn":["9783642340901"],"eissn":["1611-3349"],"issn":["0302-9743"],"eisbn":["9783642340918"]},"publisher":"Springer Nature","type":"conference","day":"01","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","status":"public","doi":"10.1007/978-3-642-34091-8_8","month":"09"}