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Point Values Hermite Multiresolution for Non-smooth Noisy Signals

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Abstract

In this paper, a nonlinear interpolation is used in order to compute adaptively derivatives from the discrete information of any signal. Using these derivatives a multiresolution based on Hermite interpolation is performed for compressing the signal. The way in which the derivatives are approximated is crucial when noise or singularities appear.

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Authors and Affiliations

  1. Ecole supérieure de Mécanique de Marseille, 13451, Marseille Cedex 20, France

    I. Ali

  2. Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, 30203, Cartagena, Spain

    S. Amat

  3. Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, 30203, Cartagena, Spain

    J. C. Trillo

Authors
  1. I. Ali
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  2. S. Amat
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  3. J. C. Trillo
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Correspondence to I. Ali.

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Ali, I., Amat, S. & Trillo, J.C. Point Values Hermite Multiresolution for Non-smooth Noisy Signals. Computing 77, 223–236 (2006). https://doi.org/10.1007/s00607-005-0159-6

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  • DOI: https://doi.org/10.1007/s00607-005-0159-6

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