---
OA_place: repository
OA_type: green
_id: '18435'
abstract:
- lang: eng
  text: "Notions of similarity and correspondence between geometric shapes and images
    are central to many tasks in geometry processing, computer vision, and computer
    graphics. The goal of this course is to familiarize the audience with a set of
    recent techniques that greatly facilitate the computation of mappings or correspondences
    between geometric datasets, such as 3D shapes or 2D images by formulating them
    as mappings between functions rather than points or triangles.\r\nMethods based
    on the functional map framework have recently led to state-of-the-art results
    in problems as diverse as non-rigid shape matching, image co-segmentation and
    even some aspects of tangent vector field design. One challenge in adopting these
    methods in practice, however, is that their exposition often assumes a significant
    amount of background in geometry processing, spectral methods and functional analysis,
    which can make it difficult to gain an intuition about their performance or about
    their applicability to real-life problems. In this course, we try to provide all
    the tools necessary to appreciate and use these techniques, while assuming very
    little background knowledge. We also give a unifying treatment of these techniques,
    which may be difficult to extract from the individual publications and, at the
    same time, hint at the generality of this point of view, which can help tackle
    many problems in the analysis and creation of visual content.\r\nThis course is
    structured as a half day course. We will assume that the participants have knowledge
    of basic linear algebra and some knowledge of differential geometry, to the extent
    of being familiar with the concepts of a manifold and a tangent vector space.
    We will discuss in detail the functional approach to finding correspondences between
    non-rigid shapes, the design and analysis of tangent vector fields on surfaces,
    consistent map estimation in networks of shapes and applications to shape and
    image segmentation, shape variability analysis, and other areas."
article_number: '5'
article_processing_charge: No
author:
- first_name: Maks
  full_name: Ovsjanikov, Maks
  last_name: Ovsjanikov
- first_name: Etienne
  full_name: Corman, Etienne
  last_name: Corman
- first_name: Michael
  full_name: Bronstein, Michael
  last_name: Bronstein
- first_name: Emanuele
  full_name: Rodolà, Emanuele
  last_name: Rodolà
- first_name: Mirela
  full_name: Ben-Chen, Mirela
  last_name: Ben-Chen
- first_name: Leonidas
  full_name: Guibas, Leonidas
  last_name: Guibas
- first_name: Frederic
  full_name: Chazal, Frederic
  last_name: Chazal
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
citation:
  ama: 'Ovsjanikov M, Corman E, Bronstein M, et al. Computing and processing correspondences
    with functional maps. In: <i>ACM SIGGRAPH 2017 Courses</i>. ACM; 2017. doi:<a
    href="https://doi.org/10.1145/3084873.3084877">10.1145/3084873.3084877</a>'
  apa: 'Ovsjanikov, M., Corman, E., Bronstein, M., Rodolà, E., Ben-Chen, M., Guibas,
    L., … Bronstein, A. M. (2017). Computing and processing correspondences with functional
    maps. In <i>ACM SIGGRAPH 2017 Courses</i>. Los Angeles, CA, United States: ACM.
    <a href="https://doi.org/10.1145/3084873.3084877">https://doi.org/10.1145/3084873.3084877</a>'
  chicago: Ovsjanikov, Maks, Etienne Corman, Michael Bronstein, Emanuele Rodolà, Mirela
    Ben-Chen, Leonidas Guibas, Frederic Chazal, and Alex M. Bronstein. “Computing
    and Processing Correspondences with Functional Maps.” In <i>ACM SIGGRAPH 2017
    Courses</i>. ACM, 2017. <a href="https://doi.org/10.1145/3084873.3084877">https://doi.org/10.1145/3084873.3084877</a>.
  ieee: M. Ovsjanikov <i>et al.</i>, “Computing and processing correspondences with
    functional maps,” in <i>ACM SIGGRAPH 2017 Courses</i>, Los Angeles, CA, United
    States, 2017.
  ista: 'Ovsjanikov M, Corman E, Bronstein M, Rodolà E, Ben-Chen M, Guibas L, Chazal
    F, Bronstein AM. 2017. Computing and processing correspondences with functional
    maps. ACM SIGGRAPH 2017 Courses. SIGGRAPH: Special Interest Group on Computer
    Graphics and Interactive Techniques Conference, 5.'
  mla: Ovsjanikov, Maks, et al. “Computing and Processing Correspondences with Functional
    Maps.” <i>ACM SIGGRAPH 2017 Courses</i>, 5, ACM, 2017, doi:<a href="https://doi.org/10.1145/3084873.3084877">10.1145/3084873.3084877</a>.
  short: M. Ovsjanikov, E. Corman, M. Bronstein, E. Rodolà, M. Ben-Chen, L. Guibas,
    F. Chazal, A.M. Bronstein, in:, ACM SIGGRAPH 2017 Courses, ACM, 2017.
conference:
  end_date: 2017-08-03
  location: Los Angeles, CA, United States
  name: 'SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques
    Conference'
  start_date: 2017-07-30
date_created: 2024-10-15T11:20:55Z
date_published: 2017-07-30T00:00:00Z
date_updated: 2025-02-04T15:01:50Z
day: '30'
doi: 10.1145/3084873.3084877
extern: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://inria.hal.science/hal-01664767/
month: '07'
oa: 1
oa_version: Preprint
publication: ACM SIGGRAPH 2017 Courses
publication_identifier:
  isbn:
  - '9781450350143'
publication_status: published
publisher: ACM
quality_controlled: '1'
scopus_import: '1'
status: public
title: Computing and processing correspondences with functional maps
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2017'
...