---
res:
  bibo_abstract:
  - We revisit the computation of 3D generalized winding numbers, a useful measure
    for inside-outside classification on triangle meshes with gaps, self-intersections,
    and open boundaries. At the core of our new method is an analytical reduction
    of the surface integral that defines the winding number, resulting in a single
    ray-mesh intersection test and an elementary sum over boundary edges per evaluation.
    This construction is orders of magnitude more efficient than the state of the
    art in practice, which we show in an extensive performance benchmark. Conveniently,
    the method also reduces to the best-available asymptotic complexity in the worst
    case, and it introduces no approximations apart from floating-point errors. Our
    algorithm is conceptually simple to understand, straightforward to implement and
    debug, and it works reliably even on extremely noisy and corrupt input geometry.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Peiyuan
      foaf_name: Xie, Peiyuan
      foaf_surname: Xie
      foaf_workInfoHomepage: http://www.librecat.org/personId=488e236c-6bad-11f0-9831-859175c78e8a
  - foaf_Person:
      foaf_givenName: Christian
      foaf_name: Hafner, Christian
      foaf_surname: Hafner
      foaf_workInfoHomepage: http://www.librecat.org/personId=400429CC-F248-11E8-B48F-1D18A9856A87
  - foaf_Person:
      foaf_givenName: Christopher J
      foaf_name: Wojtan, Christopher J
      foaf_surname: Wojtan
      foaf_workInfoHomepage: http://www.librecat.org/personId=3C61F1D2-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0001-6646-5546
  bibo_doi: 10.1145/3811339
  bibo_issue: '4'
  bibo_volume: 45
  dct_date: 2026^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/0730-0301
  - http://id.crossref.org/issn/1557-7368
  dct_language: eng
  dct_publisher: Association for Computing Machinery@
  dct_title: Fast and exact winding numbers for triangle meshes@
...