---
res:
  bibo_abstract:
  - We use a distortion to define the dual complex of a cubical subdivision of ℝ n
    as an n-dimensional subcomplex of the nerve of the set of n-cubes. Motivated by
    the topological analysis of high-dimensional digital image data, we consider such
    subdivisions defined by generalizations of quad- and oct-trees to n dimensions.
    Assuming the subdivision is balanced, we show that mapping each vertex to the
    center of the corresponding n-cube gives a geometric realization of the dual complex
    in ℝ n.@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: Michael
      foaf_name: Kerber, Michael
      foaf_surname: Kerber
      foaf_workInfoHomepage: http://www.librecat.org/personId=36E4574A-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-8030-9299
  bibo_doi: 10.1007/s00454-011-9382-4
  bibo_issue: '2'
  bibo_volume: 47
  dct_date: 2012^xs_gYear
  dct_identifier:
  - UT:000299057200010
  dct_language: eng
  dct_publisher: Springer@
  dct_title: Dual complexes of cubical subdivisions of ℝn@
...
