---
_id: '18438'
abstract:
- lang: eng
  text: 'Partial matching of geometric structures is important in computer vision,
    pattern recognition and shape analysis applications. The problem consists of matching
    similar parts of shapes that may be dissimilar as a whole. Recently, it was proposed
    to consider partial similarity as a multi-criterion optimization problem trying
    to simultaneously maximize the similarity and the significance of the matching
    parts. A major challenge in that framework is providing a quantitative measure
    of the significance of a part of an object. Here, we define the significance of
    a part of a shape by its discriminative power with respect do a given shape database
    — that is, the uniqueness of the part. We define a point-wise significance density
    using a statistical weighting approach similar to the term frequency-inverse document
    frequency (tf-idf) weighting employed in search engines. The significance measure
    of a given part is obtained by integrating over this density. Numerical experiments
    show that the proposed approach produces intuitive significant parts, and demonstrate
    an improvement in the performance of partial matching between shapes. '
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: Yair
  full_name: Carmon, Yair
  last_name: Carmon
- first_name: Ron
  full_name: Kimmel, Ron
  last_name: Kimmel
citation:
  ama: Bronstein AM, Bronstein MM, Carmon Y, Kimmel R. Partial similarity of shapes
    using a statistical significance measure. <i>IPSJ Transactions on Computer Vision
    and Applications</i>. 2009;1:105-114. doi:<a href="https://doi.org/10.2197/ipsjtcva.1.105">10.2197/ipsjtcva.1.105</a>
  apa: Bronstein, A. M., Bronstein, M. M., Carmon, Y., &#38; Kimmel, R. (2009). Partial
    similarity of shapes using a statistical significance measure. <i>IPSJ Transactions
    on Computer Vision and Applications</i>. Information Processing Society of Japan.
    <a href="https://doi.org/10.2197/ipsjtcva.1.105">https://doi.org/10.2197/ipsjtcva.1.105</a>
  chicago: Bronstein, Alex M., Michael M. Bronstein, Yair Carmon, and Ron Kimmel.
    “Partial Similarity of Shapes Using a Statistical Significance Measure.” <i>IPSJ
    Transactions on Computer Vision and Applications</i>. Information Processing Society
    of Japan, 2009. <a href="https://doi.org/10.2197/ipsjtcva.1.105">https://doi.org/10.2197/ipsjtcva.1.105</a>.
  ieee: A. M. Bronstein, M. M. Bronstein, Y. Carmon, and R. Kimmel, “Partial similarity
    of shapes using a statistical significance measure,” <i>IPSJ Transactions on Computer
    Vision and Applications</i>, vol. 1. Information Processing Society of Japan,
    pp. 105–114, 2009.
  ista: Bronstein AM, Bronstein MM, Carmon Y, Kimmel R. 2009. Partial similarity of
    shapes using a statistical significance measure. IPSJ Transactions on Computer
    Vision and Applications. 1, 105–114.
  mla: Bronstein, Alex M., et al. “Partial Similarity of Shapes Using a Statistical
    Significance Measure.” <i>IPSJ Transactions on Computer Vision and Applications</i>,
    vol. 1, Information Processing Society of Japan, 2009, pp. 105–14, doi:<a href="https://doi.org/10.2197/ipsjtcva.1.105">10.2197/ipsjtcva.1.105</a>.
  short: A.M. Bronstein, M.M. Bronstein, Y. Carmon, R. Kimmel, IPSJ Transactions on
    Computer Vision and Applications 1 (2009) 105–114.
date_created: 2024-10-15T11:20:55Z
date_published: 2009-03-31T00:00:00Z
date_updated: 2024-12-18T16:01:54Z
day: '31'
doi: 10.2197/ipsjtcva.1.105
extern: '1'
intvolume: '         1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.2197/ipsjtcva.1.105
month: '03'
oa: 1
oa_version: Published Version
page: 105-114
publication: IPSJ Transactions on Computer Vision and Applications
publication_identifier:
  eissn:
  - 1882-6695
publication_status: published
publisher: Information Processing Society of Japan
quality_controlled: '1'
scopus_import: '1'
status: public
title: Partial similarity of shapes using a statistical significance measure
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 1
year: '2009'
...