Convergence of binomial-based derivative estimation for C2 noisy discretized curves

  • Authors:
  • Henri-Alex Esbelin;Rémy Malgouyres;Colin Cartade

  • Affiliations:
  • -;-;-

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2011

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Abstract

We present a derivative estimator for discrete curves and discretized functions which uses convolutions with integer-only binomial masks. The convergence results work for C^2 functions, and as a consequence we obtain a complete uniform convergence result for parameterized C^2 curves for derivatives of any order.