Image Processing Using the Quaternion Wavelet Transform

@inproceedings{BayroCorrochano2004ImagePU,
  title={Image Processing Using the Quaternion Wavelet Transform},
  author={E. Bayro-Corrochano and Miguel Angel de La Torre Gomora},
  booktitle={CIARP},
  year={2004}
}
  • E. Bayro-Corrochano, Miguel Angel de La Torre Gomora
  • Published in CIARP 2004
  • Computer Science
  • 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 three phases. The paper can be very useful for researchers and practitioners interested in understanding and applications of the quaternion wavelet transform. 

    Figures and Topics from this paper.

    Explore Further: Topics Discussed in This Paper

    The development of the quaternion wavelet transform
    • 25
    • Open Access
    History of quaternion and Clifford Fourier transforms and wavelets
    • 20
    • Highly Influenced
    • Open Access
    THREE-DIMENSIONAL OCTONION WAVELET TRANSFORM
    • 4
    • Open Access
    Definition of a Discrete Color Monogenic Wavelet Transform

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 17 REFERENCES
    A wavelet tour of signal processing
    • 16,785
    • Open Access
    A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
    • 19,344
    • Open Access
    Hypercomplex spectral signal representations for the processing and analysis of images
    • 219
    • Open Access
    Image Analysis Using Quaternion Wavelets
    • 12
    Wavelet-based image denoising using a Markov random field a priori model
    • 319
    Motion estimation using a complex-valued wavelet transform
    • 222
    • Open Access
    Geometric Computing for Perception Action Systems
    • 57
    • Open Access
    A theory for multiresolution signal descomposition: The Wavelet descomposition
    • 1,535
    Cliflord Waveletes, singular Integrals and Hardy spaces. Lecture notes in mathematics 1575
    • 1994