---
res:
  bibo_abstract:
  - The approximation of a circle with the edges of a fine square grid distorts the
    perimeter by a factor about 4/Pi. We prove that this factor is the same on average
    (in the ergodic sense) for approximations of any rectifiable curve by the edges
    of any non-exotic Delaunay mosaic (known as Voronoi path), and extend the results
    to all dimensions, generalizing Voronoi paths to Voronoi scapes.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Herbert
      foaf_name: Edelsbrunner, Herbert
      foaf_surname: Edelsbrunner
      foaf_workInfoHomepage: http://www.librecat.org/personId=3FB178DA-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-9823-6833
  - foaf_Person:
      foaf_givenName: Anton
      foaf_name: Nikitenko, Anton
      foaf_surname: Nikitenko
      foaf_workInfoHomepage: http://www.librecat.org/personId=3E4FF1BA-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-0659-3201
  bibo_doi: 10.1007/s00454-024-00660-y
  bibo_volume: 73
  dct_date: 2025^xs_gYear
  dct_identifier:
  - UT:001238566200004
  dct_isPartOf:
  - http://id.crossref.org/issn/0179-5376
  - http://id.crossref.org/issn/1432-0444
  dct_language: eng
  dct_publisher: Springer Nature@
  dct_title: Average and expected distortion of Voronoi paths and scapes@
  fabio_hasPubmedId: '39974750'
...