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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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References

  • Amat, S., Donat, R., Liandrat, J., Trillo, J. C.: Analysis of a new nonlinear subdivision scheme. Applications in image processing. Found. Comp. Math. (2005, accepted).

  • F. Aràndiga A. Baeza R. Donat (2004) ArticleTitleDiscrete multiresolution based on Hermite interpolation: Computing derivatives Comm. Nonlinear Sci. Num. Simulation 9 263–273 Occurrence Handle10.1016/S1007-5704(03)00116-3

    Article  Google Scholar 

  • F. Aràndiga R. Donat (2000) ArticleTitleNonlinear multi-scale decompositions: The approach of A. Harten Num. Algorith. 23 175–216 Occurrence Handle10.1023/A:1019104118012

    Article  Google Scholar 

  • A. Harten (1996) ArticleTitleMultiresolution representation of data II: General framework SIAM J. Numer. Anal. 33 1205–1256 Occurrence Handle10.1137/0733060 Occurrence Handle0861.65130 Occurrence Handle97h:65078

    Article  MATH  MathSciNet  Google Scholar 

  • R. Warming R. Beam (2000) ArticleTitleDiscrete multiresolution analysis using Hermite interpolation: Biorthogonal multiwavelets SIAM J. Sci. Comp. 22 1269–1317 Occurrence Handle10.1137/S1064827597315236 Occurrence Handle2001e:42055

    Article  MathSciNet  Google Scholar 

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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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