---
_id: '18350'
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.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Dan
  full_name: Raviv, Dan
  last_name: Raviv
- 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
- first_name: Nir
  full_name: Sochen, Nir
  last_name: Sochen
citation:
  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>'
  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>'
  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>.
  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.
  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>.
  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.
conference:
  end_date: 2011-07-01
  location: Dagstuhl, Germany
  name: International Workshop on Theoretical Foundations of Computer Vision
  start_date: 2011-06-26
date_created: 2024-10-15T11:20:54Z
date_published: 2012-09-01T00:00:00Z
date_updated: 2025-01-16T10:12:48Z
day: '01'
doi: 10.1007/978-3-642-34091-8_8
extern: '1'
intvolume: '      7474'
language:
- iso: eng
month: '09'
oa_version: None
page: 177-190
publication: 15th International Workshop on Theoretical Foundations of Computer Vision
publication_identifier:
  eisbn:
  - '9783642340918'
  eissn:
  - 1611-3349
  isbn:
  - '9783642340901'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Equi-affine invariant geometries of articulated objects
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 7474
year: '2012'
...