---
OA_place: repository
OA_type: green
_id: '21921'
abstract:
- lang: eng
  text: "A variety of problems in geometry processing boil down to finding the most\r\nparallel
    field relative to a connection. Instances of this prototypical problem\r\nshow
    up in computing direction fields and stripe patterns, quadrilateral\r\nmeshing,
    and visualization of fluid flows. When the class of allowed fields\r\nincludes
    those with topological defects, a relaxation is required to make\r\nthe problem
    well-posed. We observe that these problems can be viewed\r\nas synchronization
    problems, which admit a natural semidefinite relaxation.\r\nWe propose a unified
    method of solving all these problems via the efficient\r\nBurer-Monteiro factorization
    method. Geometrically, this amounts to lifting the field values to a higher-dimensional
    manifold, naturally resolving\r\nthe singular nature of defects. Practically,
    we show that our convex relaxation method achieves better and more reliable optima
    than previous work\r\nemploying alternative relaxations"
acknowledgement: "The authors thank Steven J. Gortler and Nicolas Boumal for interesting
  discussions.\r\nDavid Palmer acknowledges the generous support of the NSF\r\nMSPRF
  under award #2303403 during his time at Harvard University.\r\nNatalia Pacheco-Tallaj
  was supported by the NSF DGE-2141064.\r\nMattéo Couplet was supported by Wallonie-Bruxelles
  International"
article_processing_charge: No
author:
- first_name: Natalia
  full_name: Pacheco-Tallaj, Natalia
  last_name: Pacheco-Tallaj
- first_name: Matteo
  full_name: Couplet, Matteo
  last_name: Couplet
- first_name: Edward
  full_name: Chien, Edward
  last_name: Chien
- first_name: David
  full_name: Palmer, David
  id: 6574708f-2fd3-11f0-89e2-ae42ebc712a4
  last_name: Palmer
  orcid: 0000-0002-1931-5673
citation:
  ama: 'Pacheco-Tallaj N, Couplet M, Chien E, Palmer D. Synchronizing fields with
    singularities. In: <i>SIGGRAPH Conference Papers</i>. ACM. doi:<a href="https://doi.org/10.1145/3799902.3811225">10.1145/3799902.3811225</a>'
  apa: 'Pacheco-Tallaj, N., Couplet, M., Chien, E., &#38; Palmer, D. (n.d.). Synchronizing
    fields with singularities. In <i>SIGGRAPH Conference Papers</i>. Los Angeles,
    CA, United States: ACM. <a href="https://doi.org/10.1145/3799902.3811225">https://doi.org/10.1145/3799902.3811225</a>'
  chicago: Pacheco-Tallaj, Natalia, Matteo Couplet, Edward Chien, and David Palmer.
    “Synchronizing Fields with Singularities.” In <i>SIGGRAPH Conference Papers</i>.
    ACM, n.d. <a href="https://doi.org/10.1145/3799902.3811225">https://doi.org/10.1145/3799902.3811225</a>.
  ieee: N. Pacheco-Tallaj, M. Couplet, E. Chien, and D. Palmer, “Synchronizing fields
    with singularities,” in <i>SIGGRAPH Conference Papers</i>, Los Angeles, CA, United
    States.
  ista: 'Pacheco-Tallaj N, Couplet M, Chien E, Palmer D. Synchronizing fields with
    singularities. SIGGRAPH Conference Papers. SIGGRAPH: International Conference
    and Exhibition on Computer Graphics and Interactive Techniques.'
  mla: Pacheco-Tallaj, Natalia, et al. “Synchronizing Fields with Singularities.”
    <i>SIGGRAPH Conference Papers</i>, ACM, doi:<a href="https://doi.org/10.1145/3799902.3811225">10.1145/3799902.3811225</a>.
  short: N. Pacheco-Tallaj, M. Couplet, E. Chien, D. Palmer, in:, SIGGRAPH Conference
    Papers, ACM, n.d.
conference:
  end_date: 2026-07-23
  location: Los Angeles, CA, United States
  name: 'SIGGRAPH: International Conference and Exhibition on Computer Graphics and
    Interactive Techniques'
  start_date: 2026-07-19
corr_author: '1'
date_created: 2026-05-29T12:53:59Z
date_published: 2026-06-01T00:00:00Z
date_updated: 2026-06-02T06:26:52Z
day: '01'
ddc:
- '000'
department:
- _id: ChWo
doi: 10.1145/3799902.3811225
file:
- access_level: open_access
  checksum: 384524659fbaf3b9da80c3852ba835af
  content_type: application/pdf
  creator: dpalmer
  date_created: 2026-05-29T12:53:25Z
  date_updated: 2026-05-29T12:53:25Z
  file_id: '21922'
  file_name: main.pdf
  file_size: 39491071
  relation: main_file
file_date_updated: 2026-05-29T12:53:25Z
has_accepted_license: '1'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Accepted Version
publication: SIGGRAPH Conference Papers
publication_identifier:
  eisbn:
  - '9798400725548'
publication_status: accepted
publisher: ACM
quality_controlled: '1'
status: public
title: Synchronizing fields with singularities
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2026'
...