Infimal Convolution Regularisation Functionals of $$\mathrm {BV}$$ and $$\mathrm {L}^{p}$$ Spaces. The Case $$p=\infty $$

Abstract : In this paper we analyse an infimal convolution type regularisation functional called $$\mathrm {TVL}^{\infty }$$, based on the total variation ($$\mathrm {TV}$$) and the $$\mathrm {L}^{\infty }$$ norm of the gradient. The functional belongs to a more general family of $$\mathrm {TVL}^{p}$$ functionals ($$1
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Martin Burger, Konstantinos Papafitsoros, Evangelos Papoutsellis, Carola-Bibiane Schönlieb. Infimal Convolution Regularisation Functionals of $$\mathrm {BV}$$ and $$\mathrm {L}^{p}$$ Spaces. The Case $$p=\infty $$. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. pp.169-179, ⟨10.1007/978-3-319-55795-3_15⟩. ⟨hal-01626892⟩

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