Convergence of binomial-based derivative estimation for C2noisy discretized curves

  • Authors:
  • Henri-Alex Esbelin;Rémy Malgouyres

  • Affiliations:
  • Univ. Clermont 1, LAIC, IUT Dépt Informatique, Aubière, France;Univ. Clermont 1, LAIC, IUT Dépt Informatique, Aubière, France

  • Venue:
  • DGCI'09 Proceedings of the 15th IAPR international conference on Discrete geometry for computer imagery
  • Year:
  • 2009

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Abstract

We present new convergence results for the integer-only binomial masks method to estimate derivatives of digitized functions. The results work for C2 functions and as a consequence we obtain a complete uniform convergence result for parametrized C2 curves.