Abstract

Motivated by applications to image denoising, we propose an approximation of functionals of the form F ( u ) = ∫ Ω | ∇ u | d x + ∫ S u g ( | u + − u − | ) d H n − 1 + | D c u | ( Ω ) , u ∈ BV ( Ω ) , with g : [ 0 , + ∞ ) → [ 0 , + ∞ ) increasing and

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