---
res:
  bibo_abstract:
  - Coxeter triangulations are triangulations of Euclidean space based on a single
    simplex. By this we mean that given an individual simplex we can recover the entire
    triangulation of Euclidean space by inductively reflecting in the faces of the
    simplex. In this paper we establish that the quality of the simplices in all Coxeter
    triangulations is O(1/d−−√) of the quality of regular simplex. We further investigate
    the Delaunay property for these triangulations. Moreover, we consider an extension
    of the Delaunay property, namely protection, which is a measure of non-degeneracy
    of a Delaunay triangulation. In particular, one family of Coxeter triangulations
    achieves the protection O(1/d2). We conjecture that both bounds are optimal for
    triangulations in Euclidean space.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Aruni
      foaf_name: Choudhary, Aruni
      foaf_surname: Choudhary
  - foaf_Person:
      foaf_givenName: Siargey
      foaf_name: Kachanovich, Siargey
      foaf_surname: Kachanovich
  - 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: 10.1007/s11786-020-00461-5
  bibo_volume: 14
  dct_date: 2020^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1661-8270
  - http://id.crossref.org/issn/1661-8289
  dct_language: eng
  dct_publisher: Springer Nature@
  dct_title: Coxeter triangulations have good quality@
...