Isometric embedding of facial surfaces into S3 LNIP Bronstein, Alexander ; https://orcid.org/0000-0001-9699-8730 Bronstein, Michael M. Kimmel, Ron 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. Isometry-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. Springer Berlin Heidelberg 2005 info:eu-repo/semantics/conferenceObject doc-type:conferenceObject text http://purl.org/coar/resource_type/c_5794 https://research-explorer.ista.ac.at/record/18319 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> eng info:eu-repo/semantics/altIdentifier/doi/10.1007/11408031_53 info:eu-repo/semantics/altIdentifier/issn/0302-9743 info:eu-repo/semantics/altIdentifier/e-issn/1611-3349 info:eu-repo/semantics/altIdentifier/isbn/9783540255475 info:eu-repo/semantics/altIdentifier/e-isbn/9783540320128 info:eu-repo/semantics/closedAccess