Elliptical Monogenic Wavelets for the Analysis and Processing of Color Images

@article{Soulard2016EllipticalMW,
  title={Elliptical Monogenic Wavelets for the Analysis and Processing of Color Images},
  author={Rapha{\"e}l Soulard and Philippe Carr{\'e}},
  journal={IEEE Transactions on Signal Processing},
  year={2016},
  volume={64},
  pages={1535-1549}
}
This paper studies and gives new algorithms for image processing based on monogenic wavelets. Existing greyscale monogenic filter banks are reviewed and we reveal a lack of discussion about the synthesis part. The monogenic synthesis is therefore defined from the idea of wavelet modulation, and an innovative filterbank is constructed by using the Radon transform. The color extension is then investigated. First, the elliptical Fourier atom model is proposed to generalize the analytic signal… CONTINUE READING