Convergence of binomial-based derivative estimation for C 2 noisy discretized curves

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...

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Bibliographic Details
Published in:Theoretical computer science 2011-08, Vol.412 (36), p.4805-4813
Main Authors: Esbelin, Henri-Alex, Malgouyres, Rémy, Cartade, Colin
Format: Article
Language:English
Subjects:
Binomials
C (programming language)
Convergence
Derivative estimation
Derivatives
Digital curves
Estimators
Masks
Mathematical analysis
Mathematical models
Multigrid convergence
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Summary: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.
ISSN:0304-3975
1879-2294
DOI:10.1016/j.tcs.2010.12.035