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