---
_id: '18389'
abstract:
- lang: eng
  text: This paper explores similarity criteria between non-rigid shapes. Broadly
    speaking, such criteria are divided into intrinsic and extrinsic, the first referring
    to the metric structure of the objects and the latter to the geometry of the shapes
    in the Euclidean space. Both criteria have their advantages and disadvantages;
    extrinsic similarity is sensitive to non-rigid deformations of the shapes, while
    intrinsic similarity is sensitive to topological noise. Here, we present an approach
    unifying both criteria in a single distance. Numerical results demonstrate the
    robustness of our approach in cases where using only extrinsic or intrinsic criteria
    fail.
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. Rock, paper, and scissors: Extrinsic
    vs. intrinsic similarity of non-rigid shapes. In: <i>11th International Conference
    on Computer Vision</i>. IEEE; 2007. doi:<a href="https://doi.org/10.1109/iccv.2007.4409076">10.1109/iccv.2007.4409076</a>'
  apa: 'Bronstein, A. M., Bronstein, M. M., &#38; Kimmel, R. (2007). Rock, paper,
    and scissors: Extrinsic vs. intrinsic similarity of non-rigid shapes. In <i>11th
    International Conference on Computer Vision</i>. Rio de Janeiro, Brazil: IEEE.
    <a href="https://doi.org/10.1109/iccv.2007.4409076">https://doi.org/10.1109/iccv.2007.4409076</a>'
  chicago: 'Bronstein, Alex M., Michael M. Bronstein, and Ron Kimmel. “Rock, Paper,
    and Scissors: Extrinsic vs. Intrinsic Similarity of Non-Rigid Shapes.” In <i>11th
    International Conference on Computer Vision</i>. IEEE, 2007. <a href="https://doi.org/10.1109/iccv.2007.4409076">https://doi.org/10.1109/iccv.2007.4409076</a>.'
  ieee: 'A. M. Bronstein, M. M. Bronstein, and R. Kimmel, “Rock, paper, and scissors:
    Extrinsic vs. intrinsic similarity of non-rigid shapes,” in <i>11th International
    Conference on Computer Vision</i>, Rio de Janeiro, Brazil, 2007.'
  ista: 'Bronstein AM, Bronstein MM, Kimmel R. 2007. Rock, paper, and scissors: Extrinsic
    vs. intrinsic similarity of non-rigid shapes. 11th International Conference on
    Computer Vision. ICCV: International Conference on Computer Vision.'
  mla: 'Bronstein, Alex M., et al. “Rock, Paper, and Scissors: Extrinsic vs. Intrinsic
    Similarity of Non-Rigid Shapes.” <i>11th International Conference on Computer
    Vision</i>, IEEE, 2007, doi:<a href="https://doi.org/10.1109/iccv.2007.4409076">10.1109/iccv.2007.4409076</a>.'
  short: A.M. Bronstein, M.M. Bronstein, R. Kimmel, in:, 11th International Conference
    on Computer Vision, IEEE, 2007.
conference:
  end_date: 2007-10-21
  location: Rio de Janeiro, Brazil
  name: 'ICCV: International Conference on Computer Vision'
  start_date: 2007-10-14
date_created: 2024-10-15T11:20:54Z
date_published: 2007-10-30T00:00:00Z
date_updated: 2024-11-18T10:12:46Z
day: '30'
doi: 10.1109/iccv.2007.4409076
extern: '1'
fulldoi: https://doi.org/10.1109/iccv.2007.4409076
language:
- iso: eng
month: '10'
oa_version: None
publication: 11th International Conference on Computer Vision
publication_identifier:
  isbn:
  - '9781424416301'
  issn:
  - 1550-5499
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Rock, paper, and scissors: Extrinsic vs. intrinsic similarity of non-rigid
  shapes'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2007'
...
---
_id: '18390'
abstract:
- lang: eng
  text: Symmetry and self-similarity is the cornerstone of Nature, exhibiting itself
    through the shapes of natural creations and ubiquitous laws of physics. Since
    many natural objects are symmetric, the absence of symmetry can often be an indication
    of some anomaly or abnormal behavior. Therefore, detection of asymmetries is important
    in numerous practical applications, including crystallography, medical imaging,
    and face recognition, to mention a few. Conversely, the assumption of underlying
    shape symmetry can facilitate solutions to many problems in shape reconstruction
    and analysis. Traditionally, symmetries are described as extrinsic geometric properties
    of the shape. While being adequate for rigid shapes, such a description is inappropriate
    for non-rigid ones. Extrinsic symmetry can be broken as a result of shape deformations,
    while its intrinsic symmetry is preserved. In this paper, we pose the problem
    of finding intrinsic symmetries of non-rigid shapes and propose an efficient method
    for their computation.
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
citation:
  ama: 'Raviv D, Bronstein AM, Bronstein MM, Kimmel R. Symmetries of non-rigid shapes.
    In: <i>11th International Conference on Computer Vision</i>. Vol 72. IEEE; 2007.
    doi:<a href="https://doi.org/10.1109/iccv.2007.4409181">10.1109/iccv.2007.4409181</a>'
  apa: 'Raviv, D., Bronstein, A. M., Bronstein, M. M., &#38; Kimmel, R. (2007). Symmetries
    of non-rigid shapes. In <i>11th International Conference on Computer Vision</i>
    (Vol. 72). Rio de Janeiro, Brazil: IEEE. <a href="https://doi.org/10.1109/iccv.2007.4409181">https://doi.org/10.1109/iccv.2007.4409181</a>'
  chicago: Raviv, Dan, Alex M. Bronstein, Michael M. Bronstein, and Ron Kimmel. “Symmetries
    of Non-Rigid Shapes.” In <i>11th International Conference on Computer Vision</i>,
    Vol. 72. IEEE, 2007. <a href="https://doi.org/10.1109/iccv.2007.4409181">https://doi.org/10.1109/iccv.2007.4409181</a>.
  ieee: D. Raviv, A. M. Bronstein, M. M. Bronstein, and R. Kimmel, “Symmetries of
    non-rigid shapes,” in <i>11th International Conference on Computer Vision</i>,
    Rio de Janeiro, Brazil, 2007, vol. 72.
  ista: 'Raviv D, Bronstein AM, Bronstein MM, Kimmel R. 2007. Symmetries of non-rigid
    shapes. 11th International Conference on Computer Vision. ICCV: International
    Conference on Computer Vision vol. 72.'
  mla: Raviv, Dan, et al. “Symmetries of Non-Rigid Shapes.” <i>11th International
    Conference on Computer Vision</i>, vol. 72, IEEE, 2007, doi:<a href="https://doi.org/10.1109/iccv.2007.4409181">10.1109/iccv.2007.4409181</a>.
  short: D. Raviv, A.M. Bronstein, M.M. Bronstein, R. Kimmel, in:, 11th International
    Conference on Computer Vision, IEEE, 2007.
conference:
  end_date: 2007-10-21
  location: Rio de Janeiro, Brazil
  name: 'ICCV: International Conference on Computer Vision'
  start_date: 2007-10-14
date_created: 2024-10-15T11:20:54Z
date_published: 2007-12-26T00:00:00Z
date_updated: 2024-11-18T10:07:58Z
day: '26'
doi: 10.1109/iccv.2007.4409181
extern: '1'
fulldoi: https://doi.org/10.1109/iccv.2007.4409181
intvolume: '        72'
language:
- iso: eng
month: '12'
oa_version: None
publication: 11th International Conference on Computer Vision
publication_identifier:
  eissn:
  - 2380-7504
  isbn:
  - '9781424416301'
  issn:
  - 1550-5499
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Symmetries of non-rigid shapes
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 72
year: '2007'
...