The Lifting Scheme: A Construction of Second Generation Wavelets

  • Sweldens W
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We present the lifting scheme, a simple construction of second generation wavelets; these are wavelets that are not necessarily translates and dilates of one fixed function. Such wavelets can be adapted to intervals, domains, surfaces, weights, and irregular samples. We show how the lifting scheme leads to a faster, in-place calculation of the wavelet transform. Several examples are included.

Author-supplied keywords

  • 42C15
  • lifting scheme
  • multiresolution
  • second generation wavelet
  • wavelet

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  • Wim Sweldens

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