Homotopy Properties of Sphere-Like Digital Images

  • Authors:

  • Laurence Boxer

  • Affiliations:

  • Aff1 Aff2

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 2006

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Abstract

Recent papers have discussed digital versions of the classical fundamental group for digital images. It has been shown that for non-contractible digital simple closed curves, the digital fundamental group is isomorphic to the integers, in analogy with Euclidean simple closed curves. In this paper, we show that the digital fundamental groups of sphere-like digital images Sn, n 1, are trivial, as are the fundamental groups of their Euclidean analogs Sn.