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Related Experiment Videos

A translation- and scale-invariant adaptive wavelet transform.

H Xiong1, T Zhang, Y S Moon

  • 1State Key Laboratory for Image Processing and Intelligence Control, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China. hlxiong@cse.cuhk.edu.hk

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
|February 12, 2008
PubMed
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This study introduces adaptive wavelet invariant moments (AWIM) to solve translation and scale invariance issues in discrete wavelet transform (DWT). The novel method ensures AWIM are invariant to shifts and scaling, enabling effective texture identification.

Area of Science:

  • Signal Processing
  • Image Analysis
  • Wavelet Theory

Background:

  • The discrete wavelet transform (DWT) faces challenges with translation and scale invariance.
  • Existing methods often struggle to maintain feature consistency under geometric transformations.

Purpose of the Study:

  • To develop a novel approach for achieving translation- and scale-invariant discrete wavelet transform coefficients.
  • To introduce adaptive wavelet invariant moments (AWIM) for robust signal and image analysis.
  • To apply the new method for scale-invariant texture identification.

Main Methods:

  • Utilizing a signal-dependent filter based on the signal's first two moments and an orthonormal wavelet's scale function.
  • Adaptively renormalizing the signal before applying conventional DWT decomposition.

Related Experiment Videos

  • Defining a new textural feature derived from the adaptive wavelet decomposition.
  • Main Results:

    • The proposed adaptive wavelet decomposition yields coefficients (AWIM) that are invariant to translation and scale.
    • The newly defined textural feature demonstrates stability under shifts and scaling.
    • The method proves efficient for scale-invariant texture identification tasks.

    Conclusions:

    • The adaptive wavelet invariant moments (AWIM) effectively address the translation- and scale-invariant problem in DWT.
    • The developed approach provides a robust framework for scale-invariant texture analysis.
    • This method offers a significant advancement in signal processing and image analysis applications.