More about wavlet maxima representations

  • Authors:
  • Zeev Berman;John S. Baras

  • Affiliations:
  • RAFAEL, Haifa, Israel and Electrical Engineering Department and Institute for Systems Research, University of Maryland, College Park, MD;Electrical Engineering Department and Institute for Systems Research, University of Maryland, College Park, MD

  • Venue:
  • ICASSP'93 Proceedings of the 1993 IEEE international conference on Acoustics, speech, and signal processing: image and multidimensional signal processing - Volume V
  • Year:
  • 1993

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Abstract

Results regarding reconstruction and modifications of multiscale (wavelet) maxima and zero-crossings representations are presented. The work is based on a general signal description, called an inherently bounded Adaptive Quasi Linear Representation (AQLR), motivated by two important examples: the wavelet maxima representation and the wavelet zero-crossings representation. The convergence of two new reconstruction algorithms is guaranteed for all inherently bounded AQLR. As a consequence, we describe modifications in the basic multiscale maxima representation. The modifications allow to trade-off between the amount of required information and the reconstruction quality.