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Uniqueness issue of wavelet transform modulus maxima representation and a least squares reconstruction algorithm

Uniqueness issue of wavelet transform modulus maxima representation and a least squares reconstruction algorithm

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The authors show that the problem of uniqueness of the wavelet transform modulus maxima representation is related to the completeness of the wavelet basis set; i.e. it must be a frame of the function space of interest. The authors present a least squares reconstruction method that is optimum with respect to the basis set.

References

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      • D. Marr . (1982) Vision.
    2. 2)
      • R.M. Young . (1980) An introduction to nonharmonic Fourier series.
    3. 3)
      • A. Liew , D.T. Nguyen . Reconstruction from wavelet transform modulus maxima using nonexpansiveprojections. Electron. Lett. , 13 , 1038 - 1039
    4. 4)
      • S. Mallat , S. Zhong . Characterisation of signals from multiscale edges. IEEE Trans. , 710 - 732
http://iet.metastore.ingenta.com/content/journals/10.1049/el_19951205
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