Wavelet transforms on two-dimensional images

  • Authors:
  • J. Schmeelk

  • Affiliations:
  • Department of Mathematical Sciences Virginia Commonwealth University Richmond, VA 23284-2014, U.S.A.

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2002

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Abstract

This paper studies the two-dimensional wavelet transform applied to two-dimensional images. The classical technique oftentimes implements the Fourier transform. This paper offers a brief discussion regarding the comparison of the two transforms on a single alphabet. It provides a comparison of the global properties present in the Fourier transform technique versus a more localized analysis when the wavelet transform is applied to the same image. The wavelet selected in this study is the derivative of the Gaussian since in some sense offers a nice comparison to the Fourier method.