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Scene-adapted plug-and-play algorithm with convergence guarantees

Teodoro, A. M. ; Bioucas-Dias, J. ; Figueiredo, M. A. T.

Scene-adapted plug-and-play algorithm with convergence guarantees, Proc IEEE International Workshop on Machine Learning for Signal Processing, Tokyo, Japan, Vol. , pp. - , September, 2017.

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Abstract
Recent frameworks, such as the so-called plug-and-play, allow us to leverage the developments in image denoising to tackle other, and more involved, problems in image processing. As the name suggests, state-of-the-art denoisers are plugged into an iterative algorithm that alternates between a denoising step and the inversion of the observation operator. While these tools offer flexibility, the convergence of the resulting algorithm may be difficult to analyse. In this paper, we plug a state-of-the-art denoiser, based on a Gaussian mixture model, in the iterations of an alternating direction method of multipliers and prove the algorithm is guaranteed to converge. Moreover, we build upon the concept of scene-adapted priors where we learn a model targeted to a specific scene being imaged, and apply the proposed method to address the hyperspectral sharpening problem.