[{"publication_identifier":{"eisbn":["9783540320128"],"isbn":["9783540255475"],"issn":["0302-9743"],"eissn":["1611-3349"]},"scopus_import":"1","publication":"5th International Conference on Scale-Space Theories in Computer Vision","language":[{"iso":"eng"}],"OA_type":"closed access","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."}],"extern":"1","oa_version":"None","type":"conference","author":[{"id":"58f3726e-7cba-11ef-ad8b-e6e8cb3904e6","last_name":"Bronstein","first_name":"Alexander","full_name":"Bronstein, Alexander","orcid":"0000-0001-9699-8730"},{"full_name":"Bronstein, Michael M.","last_name":"Bronstein","first_name":"Michael M."},{"full_name":"Kimmel, Ron","last_name":"Kimmel","first_name":"Ron"}],"date_created":"2024-10-15T11:12:06Z","status":"public","title":"Isometric embedding of facial surfaces into S3","_id":"18319","date_updated":"2024-10-22T06:29:06Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","page":"622-631","citation":{"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>","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>.","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.","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.","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.","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>","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>."},"publisher":"Springer Berlin Heidelberg","month":"03","day":"31","doi":"10.1007/11408031_53","volume":3459,"intvolume":"      3459","publication_status":"published","quality_controlled":"1","year":"2005","fulldoi":"https://doi.org/10.1007/11408031_53","article_processing_charge":"No","conference":{"location":"Hofgeismar, Germany","name":"Scale Space: Conference on Scale-Space Theories in Computer Vision","end_date":"2005-04-09","start_date":"2005-04-07"},"alternative_title":["LNIP"],"date_published":"2005-03-31T00:00:00Z"}]