---
_id: '18381'
abstract:
- lang: eng
  text: Partial matching is probably one of the most challenging problems in nonrigid
    shape analysis. The problem consists of matching similar parts of shapes that
    are dissimilar on the whole and can assume different forms by undergoing nonrigid
    deformations. Conceptually, two shapes can be considered partially matching if
    they have significant similar parts, with the simplest definition of significance
    being the size of the parts. Thus, partial matching can be defined as a multicriterion
    optimization problem trying to simultaneously maximize the similarity and the
    size of these parts. In this paper, we propose a different definition of significance,
    taking into account the regularity of parts besides their size. The regularity
    term proposed here is similar to the spirit of the Mumford-Shah functional. Numerical
    experiments show that the regularized partial matching produces semantically better
    results compared to the non-regularized one.
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
citation:
  ama: 'Bronstein AM, Bronstein MM. Not only size matters: Regularized partial matching
    of nonrigid shapes. In: <i>2008 IEEE Computer Society Conference on Computer Vision
    and Pattern Recognition Workshops</i>. IEEE; 2008. doi:<a href="https://doi.org/10.1109/cvprw.2008.4563077">10.1109/cvprw.2008.4563077</a>'
  apa: 'Bronstein, A. M., &#38; Bronstein, M. M. (2008). Not only size matters: Regularized
    partial matching of nonrigid shapes. In <i>2008 IEEE Computer Society Conference
    on Computer Vision and Pattern Recognition Workshops</i>. Anchorage, AK, United
    States: IEEE. <a href="https://doi.org/10.1109/cvprw.2008.4563077">https://doi.org/10.1109/cvprw.2008.4563077</a>'
  chicago: 'Bronstein, Alex M., and Michael M. Bronstein. “Not Only Size Matters:
    Regularized Partial Matching of Nonrigid Shapes.” In <i>2008 IEEE Computer Society
    Conference on Computer Vision and Pattern Recognition Workshops</i>. IEEE, 2008.
    <a href="https://doi.org/10.1109/cvprw.2008.4563077">https://doi.org/10.1109/cvprw.2008.4563077</a>.'
  ieee: 'A. M. Bronstein and M. M. Bronstein, “Not only size matters: Regularized
    partial matching of nonrigid shapes,” in <i>2008 IEEE Computer Society Conference
    on Computer Vision and Pattern Recognition Workshops</i>, Anchorage, AK, United
    States, 2008.'
  ista: 'Bronstein AM, Bronstein MM. 2008. Not only size matters: Regularized partial
    matching of nonrigid shapes. 2008 IEEE Computer Society Conference on Computer
    Vision and Pattern Recognition Workshops. CVPR: Conference on Computer Vision
    and Pattern Recognition.'
  mla: 'Bronstein, Alex M., and Michael M. Bronstein. “Not Only Size Matters: Regularized
    Partial Matching of Nonrigid Shapes.” <i>2008 IEEE Computer Society Conference
    on Computer Vision and Pattern Recognition Workshops</i>, IEEE, 2008, doi:<a href="https://doi.org/10.1109/cvprw.2008.4563077">10.1109/cvprw.2008.4563077</a>.'
  short: A.M. Bronstein, M.M. Bronstein, in:, 2008 IEEE Computer Society Conference
    on Computer Vision and Pattern Recognition Workshops, IEEE, 2008.
conference:
  end_date: 2008-06-28
  location: Anchorage, AK, United States
  name: 'CVPR: Conference on Computer Vision and Pattern Recognition'
  start_date: 2008-06-23
date_created: 2024-10-15T11:20:54Z
date_published: 2008-07-01T00:00:00Z
date_updated: 2024-11-18T10:18:28Z
day: '01'
doi: 10.1109/cvprw.2008.4563077
extern: '1'
fulldoi: https://doi.org/10.1109/cvprw.2008.4563077
language:
- iso: eng
month: '07'
oa_version: None
publication: 2008 IEEE Computer Society Conference on Computer Vision and Pattern
  Recognition Workshops
publication_identifier:
  isbn:
  - '9781424423392'
  issn:
  - 2160-7508
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Not only size matters: Regularized partial matching of nonrigid shapes'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2008'
...