• DOI:10.1109/TIP.2007.909318
Corpus ID: 8160052

Majorization–Minimization Algorithms for Wavelet-Based Image Restoration

@article{Figueiredo2007MajorizationMinimizationAF,
  title={Majorization–Minimization Algorithms for Wavelet-Based Image Restoration},
  author={M{\'a}rio A. T. Figueiredo and J. Bioucas-Dias and R. Nowak},
  journal={IEEE Transactions on Image Processing},
  year={2007},
  volume={16},
  pages={2980-2991}
}

Mário A. T. Figueiredo, J. Bioucas-Dias, R. Nowak

Published 2007

Mathematics, Computer Science, Medicine

IEEE Transactions on Image Processing

Standard formulations of image/signal deconvolution under wavelet-based priors/regularizers lead to very high-dimensional optimization problems involving the following difficulties: the non-Gaussian (heavy-tailed) wavelet priors lead to objective functions which are nonquadratic, usually nondifferentiable, and sometimes even nonconvex; the presence of the convolution operator destroys the separability which underlies the simplicity of wavelet-based denoising. This paper presents a unified view… CONTINUE READING

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