Nonseparable two- and three-dimensional wavelets

  • Authors:
  • J. Kovacevic;M. Vetterli

  • Affiliations:
  • Signal Process. Res. Dept., AT&T Bell Labs., Murray Hill, NJ;-

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 1995

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Abstract

We present two- and three-dimensional nonseparable wavelets. They are obtained from discrete-time bases by iterating filter banks. We consider three sampling lattices: quincunx, separable by two in two dimensions, and FCO. The design methods are based either on cascade structures or on the McClellan transformation in the quincunx case. We give a few design examples. In particular, the first example of an orthonormal 2-D wavelet basis with symmetries is constructed