Abstract:Minimisation of the total variation regularisation for linear operators under ℓ 1 -constraints applied to image restoration is considered, and relationships between the Lagrange multiplier for a constrained model and the regularisation parameter in an unconstrained model are established. A constrained ℓ 1 -problem reformulated as a separable convex problem is solved by the alternating direction method of multipliers that includes two sequences, converging to a restored image and the "optimal" regularisation pa… Show more
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