Wavelet packet decompositions for the analysis of 2-D fields with stationary fractional increments

  • Authors:
  • B. Pesquet-Popescu

  • Affiliations:
  • Lab. des Signaux et Syst., CNRS, Gif-sur-Yvette

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

Nonstationary two-dimensional random fields with wide-sense stationary fractional increments are introduced using a fractional order for their increments in two directions of space. Some of their properties are studied and their value in modeling nonstationary, possibly anisotropic, fields is shown via examples. A separable wavelet packet analysis proves to be a useful tool in analyzing this kind of texture as it leads to stationary wavelet packet coefficients