Symmetries of 1-D Images

  • Authors:
  • Lewis D. Griffin

  • Affiliations:
  • Computer Science, University College London, London, UK WC1E 6BT

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 2008

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Abstract

The possible automorphism groups of scalar functions of a one-dimensional Euclidean domain are presented. The groups are determined relative to a class of transformations that allow an isometry of the function domain, simultaneous with a separate isometry of the function co-domain. Ten non-trivial automorphism groups are found. Seven of these are related to five of the seven Frieze groups.