---
res:
  bibo_abstract:
  - "Isomanifolds are the generalization of isosurfaces to arbitrary dimension and
    codimension, i.e. manifolds defined as the zero set of some multivariate vector-valued
    smooth function f: ℝ^d → ℝ^(d-n). A natural (and efficient) way to approximate
    an isomanifold is to consider its Piecewise-Linear (PL) approximation based on
    a triangulation \U0001D4AF of the ambient space ℝ^d. In this paper, we give conditions
    under which the PL-approximation of an isomanifold is topologically equivalent
    to the isomanifold. The conditions are easy to satisfy in the sense that they
    can always be met by taking a sufficiently fine triangulation \U0001D4AF. This
    contrasts with previous results on the triangulation of manifolds where, in arbitrary
    dimensions, delicate perturbations are needed to guarantee topological correctness,
    which leads to strong limitations in practice. We further give a bound on the
    Fréchet distance between the original isomanifold and its PL-approximation. Finally
    we show analogous results for the PL-approximation of an isomanifold with boundary.
    @eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Jean-Daniel
      foaf_name: Boissonnat, Jean-Daniel
      foaf_surname: Boissonnat
  - foaf_Person:
      foaf_givenName: Mathijs
      foaf_name: Wintraecken, Mathijs
      foaf_surname: Wintraecken
      foaf_workInfoHomepage: http://www.librecat.org/personId=307CFBC8-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-7472-2220
  bibo_doi: 10.4230/LIPIcs.SoCG.2020.20
  bibo_volume: 164
  dct_date: 2020^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1868-8969
  - http://id.crossref.org/issn/978-3-95977-143-6
  dct_language: eng
  dct_publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik@
  dct_title: The topological correctness of PL-approximations of isomanifolds@
...