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How to implement the prox of the total variation denoising dual.

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Cath
Cath el 29 de Abr. de 2017
Cerrada: John D'Errico el 29 de Abr. de 2017
I have the TV-dual min||z+tildeD'*(phi)||^2. My problem is to implement forward-backward spliiting.
I understand that the prox of the dual is the projection. How can I implement this on matlab?

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