[{"date_updated":"2024-10-22T06:29:06Z","volume":3459,"type":"conference","month":"03","oa_version":"None","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication":"5th International Conference on Scale-Space Theories in Computer Vision","author":[{"first_name":"Alexander","orcid":"0000-0001-9699-8730","full_name":"Bronstein, Alexander","id":"58f3726e-7cba-11ef-ad8b-e6e8cb3904e6","last_name":"Bronstein"},{"last_name":"Bronstein","first_name":"Michael M.","full_name":"Bronstein, Michael M."},{"full_name":"Kimmel, Ron","first_name":"Ron","last_name":"Kimmel"}],"_id":"18319","scopus_import":"1","doi":"10.1007/11408031_53","quality_controlled":"1","conference":{"name":"Scale Space: Conference on Scale-Space Theories in Computer Vision","end_date":"2005-04-09","location":"Hofgeismar, Germany","start_date":"2005-04-07"},"publication_status":"published","alternative_title":["LNIP"],"date_created":"2024-10-15T11:12:06Z","intvolume":"      3459","article_processing_charge":"No","publisher":"Springer Berlin Heidelberg","year":"2005","citation":{"short":"A.M. Bronstein, M.M. Bronstein, R. Kimmel, in:, 5th International Conference on Scale-Space Theories in Computer Vision, Springer Berlin Heidelberg, 2005, pp. 622–631.","ieee":"A. M. Bronstein, M. M. Bronstein, and R. Kimmel, “Isometric embedding of facial surfaces into S3,” in <i>5th International Conference on Scale-Space Theories in Computer Vision</i>, Hofgeismar, Germany, 2005, vol. 3459, pp. 622–631.","apa":"Bronstein, A. M., Bronstein, M. M., &#38; Kimmel, R. (2005). Isometric embedding of facial surfaces into S3. In <i>5th International Conference on Scale-Space Theories in Computer Vision</i> (Vol. 3459, pp. 622–631). Hofgeismar, Germany: Springer Berlin Heidelberg. <a href=\"https://doi.org/10.1007/11408031_53\">https://doi.org/10.1007/11408031_53</a>","mla":"Bronstein, Alex M., et al. “Isometric Embedding of Facial Surfaces into S3.” <i>5th International Conference on Scale-Space Theories in Computer Vision</i>, vol. 3459, Springer Berlin Heidelberg, 2005, pp. 622–31, doi:<a href=\"https://doi.org/10.1007/11408031_53\">10.1007/11408031_53</a>.","ista":"Bronstein AM, Bronstein MM, Kimmel R. 2005. Isometric embedding of facial surfaces into S3. 5th International Conference on Scale-Space Theories in Computer Vision. Scale Space: Conference on Scale-Space Theories in Computer Vision, LNIP, vol. 3459, 622–631.","ama":"Bronstein AM, Bronstein MM, Kimmel R. Isometric embedding of facial surfaces into S3. In: <i>5th International Conference on Scale-Space Theories in Computer Vision</i>. Vol 3459. Springer Berlin Heidelberg; 2005:622-631. doi:<a href=\"https://doi.org/10.1007/11408031_53\">10.1007/11408031_53</a>","chicago":"Bronstein, Alex M., Michael M. Bronstein, and Ron Kimmel. “Isometric Embedding of Facial Surfaces into S3.” In <i>5th International Conference on Scale-Space Theories in Computer Vision</i>, 3459:622–31. Springer Berlin Heidelberg, 2005. <a href=\"https://doi.org/10.1007/11408031_53\">https://doi.org/10.1007/11408031_53</a>."},"day":"31","title":"Isometric embedding of facial surfaces into S3","OA_type":"closed access","page":"622-631","date_published":"2005-03-31T00:00:00Z","publication_identifier":{"issn":["0302-9743"],"eissn":["1611-3349"],"isbn":["9783540255475"],"eisbn":["9783540320128"]},"language":[{"iso":"eng"}],"extern":"1","abstract":[{"lang":"eng","text":"The problem of isometry-invariant representation and comparison of surfaces is of cardinal importance in pattern recognition applications dealing with deformable objects. Particularly, in three-dimensional face recognition treating facial expressions as isometries of the facial surface allows to perform robust recognition insensitive to expressions.\r\nIsometry-invariant representation of surfaces can be constructed by isometrically embedding them into some convenient space, and carrying out the comparison in that space. Presented here is a discussion on isometric embedding into S3, which appears to be superior over the previously used Euclidean space in sense of the representation accuracy."}]}]