Multi-resolution image analysis using the quaternion wavelet transform

@article{BayroCorrochano2004MultiresolutionIA,
  title={Multi-resolution image analysis using the quaternion wavelet transform},
  author={Eduardo Bayro-Corrochano},
  journal={Numerical Algorithms},
  year={2004},
  volume={39},
  pages={35-55}
}
This paper presents the theory and practicalities of the quaternion wavelet transform. The contribution of this work is to generalize the real and complex wavelet transforms and to derive for the first time a quaternionic wavelet pyramid for multi-resolution analysis using the quaternion phase concept. The three quaternion phase components of the detail wavelet filters together with a confidence mask are used for the computation of a denser image velocity field which is updated through various… CONTINUE READING
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