---
_id: '18347'
abstract:
- lang: eng
  text: Multi-part shape matching is an important class of problems, arising in many
    fields such as computational archaeology, biology, geometry processing, computer
    graphics and vision. In this paper, we address the problem of simultaneous matching
    and segmentation of multiple shapes. We assume to be given a reference shape and
    multiple parts partially matching the reference. Each of these parts can have
    additional clutter, have overlap with other parts, or there might be missing parts.
    We show experimental results of efficient and accurate assembly of fractured synthetic
    and real objects.
article_processing_charge: No
author:
- first_name: Or
  full_name: Litany, Or
  last_name: Litany
- 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: 'Litany O, Bronstein AM, Bronstein MM. Putting the pieces together: Regularized
    multi-part shape matching. In: <i>Computer Vision, ECCV 2012 - Workshops and Demonstrations</i>.
    Vol 7583. Springer Nature; 2012:1-11. doi:<a href="https://doi.org/10.1007/978-3-642-33863-2_1">10.1007/978-3-642-33863-2_1</a>'
  apa: 'Litany, O., Bronstein, A. M., &#38; Bronstein, M. M. (2012). Putting the pieces
    together: Regularized multi-part shape matching. In <i>Computer Vision, ECCV 2012
    - Workshops and Demonstrations</i> (Vol. 7583, pp. 1–11). Florence, Italy: Springer
    Nature. <a href="https://doi.org/10.1007/978-3-642-33863-2_1">https://doi.org/10.1007/978-3-642-33863-2_1</a>'
  chicago: 'Litany, Or, Alex M. Bronstein, and Michael M. Bronstein. “Putting the
    Pieces Together: Regularized Multi-Part Shape Matching.” In <i>Computer Vision,
    ECCV 2012 - Workshops and Demonstrations</i>, 7583:1–11. Springer Nature, 2012.
    <a href="https://doi.org/10.1007/978-3-642-33863-2_1">https://doi.org/10.1007/978-3-642-33863-2_1</a>.'
  ieee: 'O. Litany, A. M. Bronstein, and M. M. Bronstein, “Putting the pieces together:
    Regularized multi-part shape matching,” in <i>Computer Vision, ECCV 2012 - Workshops
    and Demonstrations</i>, Florence, Italy, 2012, vol. 7583, no. Part 1, pp. 1–11.'
  ista: 'Litany O, Bronstein AM, Bronstein MM. 2012. Putting the pieces together:
    Regularized multi-part shape matching. Computer Vision, ECCV 2012 - Workshops
    and Demonstrations. ECCV: European Conference on Computer Vision vol. 7583, 1–11.'
  mla: 'Litany, Or, et al. “Putting the Pieces Together: Regularized Multi-Part Shape
    Matching.” <i>Computer Vision, ECCV 2012 - Workshops and Demonstrations</i>, vol.
    7583, no. Part 1, Springer Nature, 2012, pp. 1–11, doi:<a href="https://doi.org/10.1007/978-3-642-33863-2_1">10.1007/978-3-642-33863-2_1</a>.'
  short: O. Litany, A.M. Bronstein, M.M. Bronstein, in:, Computer Vision, ECCV 2012
    - Workshops and Demonstrations, Springer Nature, 2012, pp. 1–11.
conference:
  end_date: 2012-10-13
  location: Florence, Italy
  name: 'ECCV: European Conference on Computer Vision'
  start_date: 2012-10-07
date_created: 2024-10-15T11:20:54Z
date_published: 2012-08-31T00:00:00Z
date_updated: 2025-01-16T12:30:30Z
day: '31'
doi: 10.1007/978-3-642-33863-2_1
extern: '1'
fulldoi: https://doi.org/10.1007/978-3-642-33863-2_1
intvolume: '      7583'
issue: Part 1
language:
- iso: eng
month: '08'
oa_version: None
page: 1-11
publication: Computer Vision, ECCV 2012 - Workshops and Demonstrations
publication_identifier:
  eissn:
  - 1611-3349
  - '9783642338632'
  isbn:
  - '9783642338625'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: 'Putting the pieces together: Regularized multi-part shape matching'
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 7583
year: '2012'
...
---
_id: '18348'
abstract:
- lang: eng
  text: "We present a novel method for estimation of articulated motion in depth scans.
    The method is based on a framework for regularization of vector- and matrix- valued
    functions on parametric surfaces.\r\n\r\nWe extend augmented-Lagrangian total
    variation regularization to smooth rigid motion cues on the scanned 3D surface
    obtained from a range scanner. We demonstrate the resulting smoothed motion maps
    to be a powerful tool in articulated scene understanding, providing a basis for
    rigid parts segmentation, with little prior assumptions on the scene, despite
    the noisy depth measurements that often appear in commodity depth scanners."
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Guy
  full_name: Rosman, Guy
  last_name: Rosman
- 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: Xue-Cheng
  full_name: Tai, Xue-Cheng
  last_name: Tai
- first_name: Ron
  full_name: Kimmel, Ron
  last_name: Kimmel
citation:
  ama: 'Rosman G, Bronstein AM, Bronstein MM, Tai X-C, Kimmel R. Group-valued regularization
    for analysis of articulated motion. In: <i>Computer Vision, ECCV 2012 - Workshops
    and Demonstrations</i>. Vol 7583. Springer Nature; 2012:52-62. doi:<a href="https://doi.org/10.1007/978-3-642-33863-2_6">10.1007/978-3-642-33863-2_6</a>'
  apa: 'Rosman, G., Bronstein, A. M., Bronstein, M. M., Tai, X.-C., &#38; Kimmel,
    R. (2012). Group-valued regularization for analysis of articulated motion. In
    <i>Computer Vision, ECCV 2012 - Workshops and Demonstrations</i> (Vol. 7583, pp.
    52–62). Florence, Italy: Springer Nature. <a href="https://doi.org/10.1007/978-3-642-33863-2_6">https://doi.org/10.1007/978-3-642-33863-2_6</a>'
  chicago: Rosman, Guy, Alex M. Bronstein, Michael M. Bronstein, Xue-Cheng Tai, and
    Ron Kimmel. “Group-Valued Regularization for Analysis of Articulated Motion.”
    In <i>Computer Vision, ECCV 2012 - Workshops and Demonstrations</i>, 7583:52–62.
    Springer Nature, 2012. <a href="https://doi.org/10.1007/978-3-642-33863-2_6">https://doi.org/10.1007/978-3-642-33863-2_6</a>.
  ieee: G. Rosman, A. M. Bronstein, M. M. Bronstein, X.-C. Tai, and R. Kimmel, “Group-valued
    regularization for analysis of articulated motion,” in <i>Computer Vision, ECCV
    2012 - Workshops and Demonstrations</i>, Florence, Italy, 2012, vol. 7583, no.
    Part 1, pp. 52–62.
  ista: 'Rosman G, Bronstein AM, Bronstein MM, Tai X-C, Kimmel R. 2012. Group-valued
    regularization for analysis of articulated motion. Computer Vision, ECCV 2012
    - Workshops and Demonstrations. ECCV: European Conference on Computer Vision,
    LNCS, vol. 7583, 52–62.'
  mla: Rosman, Guy, et al. “Group-Valued Regularization for Analysis of Articulated
    Motion.” <i>Computer Vision, ECCV 2012 - Workshops and Demonstrations</i>, vol.
    7583, no. Part 1, Springer Nature, 2012, pp. 52–62, doi:<a href="https://doi.org/10.1007/978-3-642-33863-2_6">10.1007/978-3-642-33863-2_6</a>.
  short: G. Rosman, A.M. Bronstein, M.M. Bronstein, X.-C. Tai, R. Kimmel, in:, Computer
    Vision, ECCV 2012 - Workshops and Demonstrations, Springer Nature, 2012, pp. 52–62.
conference:
  end_date: 2012-10-13
  location: Florence, Italy
  name: 'ECCV: European Conference on Computer Vision'
  start_date: 2012-10-07
date_created: 2024-10-15T11:20:54Z
date_published: 2012-08-31T00:00:00Z
date_updated: 2025-01-16T12:29:07Z
day: '31'
doi: 10.1007/978-3-642-33863-2_6
extern: '1'
fulldoi: https://doi.org/10.1007/978-3-642-33863-2_6
intvolume: '      7583'
issue: Part 1
language:
- iso: eng
month: '08'
oa_version: None
page: 52-62
publication: Computer Vision, ECCV 2012 - Workshops and Demonstrations
publication_identifier:
  eisbn:
  - '9783642338632'
  eissn:
  - 1611-3349
  isbn:
  - '9783642338625'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Group-valued regularization for analysis of articulated motion
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 7583
year: '2012'
...
---
_id: '18349'
abstract:
- lang: eng
  text: The rapid development of 3D acquisition technology has brought with itself
    the need to perform standard signal processing operations such as filters on 3D
    data. It has been shown that the eigenfunctions of the Laplace-Beltrami operator
    (manifold harmonics) of a surface play the role of the Fourier basis in the Euclidean
    space; it is thus possible to formulate signal analysis and synthesis in the manifold
    harmonics basis. In particular, geometry filtering can be carried out in the manifold
    harmonics domain by decomposing the embedding coordinates of the shape in this
    basis. However, since the basis functions depend on the shape itself, such filtering
    is valid only for weak (near all-pass) filters, and produces severe artifacts
    otherwise. In this paper, we analyze this problem and propose the fractional filtering
    approach, wherein we apply iteratively weak fractional powers of the filter, followed
    by the update of the basis functions. Experimental results show that such a process
    produces more plausible and meaningful results.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Artiom
  full_name: Kovnatsky, Artiom
  last_name: Kovnatsky
- first_name: Michael M.
  full_name: Bronstein, Michael M.
  last_name: Bronstein
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
citation:
  ama: 'Kovnatsky A, Bronstein MM, Bronstein AM. Stable Spectral Mesh Filtering. In:
    <i>Computer Vision, ECCV 2012 - Workshops and Demonstrations</i>. Vol 7583. Springer
    Nature; 2012:83-91. doi:<a href="https://doi.org/10.1007/978-3-642-33863-2_9">10.1007/978-3-642-33863-2_9</a>'
  apa: 'Kovnatsky, A., Bronstein, M. M., &#38; Bronstein, A. M. (2012). Stable Spectral
    Mesh Filtering. In <i>Computer Vision, ECCV 2012 - Workshops and Demonstrations</i>
    (Vol. 7583, pp. 83–91). Florence, Italy: Springer Nature. <a href="https://doi.org/10.1007/978-3-642-33863-2_9">https://doi.org/10.1007/978-3-642-33863-2_9</a>'
  chicago: Kovnatsky, Artiom, Michael M. Bronstein, and Alex M. Bronstein. “Stable
    Spectral Mesh Filtering.” In <i>Computer Vision, ECCV 2012 - Workshops and Demonstrations</i>,
    7583:83–91. Springer Nature, 2012. <a href="https://doi.org/10.1007/978-3-642-33863-2_9">https://doi.org/10.1007/978-3-642-33863-2_9</a>.
  ieee: A. Kovnatsky, M. M. Bronstein, and A. M. Bronstein, “Stable Spectral Mesh
    Filtering,” in <i>Computer Vision, ECCV 2012 - Workshops and Demonstrations</i>,
    Florence, Italy, 2012, vol. 7583, no. Part 1, pp. 83–91.
  ista: 'Kovnatsky A, Bronstein MM, Bronstein AM. 2012. Stable Spectral Mesh Filtering.
    Computer Vision, ECCV 2012 - Workshops and Demonstrations. ECCV: European Conference
    on Computer Vision, LNCS, vol. 7583, 83–91.'
  mla: Kovnatsky, Artiom, et al. “Stable Spectral Mesh Filtering.” <i>Computer Vision,
    ECCV 2012 - Workshops and Demonstrations</i>, vol. 7583, no. Part 1, Springer
    Nature, 2012, pp. 83–91, doi:<a href="https://doi.org/10.1007/978-3-642-33863-2_9">10.1007/978-3-642-33863-2_9</a>.
  short: A. Kovnatsky, M.M. Bronstein, A.M. Bronstein, in:, Computer Vision, ECCV
    2012 - Workshops and Demonstrations, Springer Nature, 2012, pp. 83–91.
conference:
  end_date: 2012-10-13
  location: Florence, Italy
  name: 'ECCV: European Conference on Computer Vision'
  start_date: 2012-10-07
date_created: 2024-10-15T11:20:54Z
date_published: 2012-08-31T00:00:00Z
date_updated: 2025-01-16T11:49:13Z
day: '31'
doi: 10.1007/978-3-642-33863-2_9
extern: '1'
fulldoi: https://doi.org/10.1007/978-3-642-33863-2_9
intvolume: '      7583'
issue: Part 1
language:
- iso: eng
month: '08'
oa_version: None
page: 83-91
publication: Computer Vision, ECCV 2012 - Workshops and Demonstrations
publication_identifier:
  isbn:
  - '9783642338625'
  - '9783642338632'
  issn:
  - 0302-9743
  - 1611-3349
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Stable Spectral Mesh Filtering
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 7583
year: '2012'
...