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

Martin Burger; Konstantinos Papafitsoros; Evangelos Papoutsellis; Carola-Bibiane Schönlieb

doi:10.1007/978-3-319-55795-3_15

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

Martin Burger ¹ Konstantinos Papafitsoros ² Evangelos Papoutsellis ³ Carola-Bibiane Schönlieb ⁴

1 University of Münster

2 WIAS - Weierstrass Institute for Applied Analysis and Stochastics

3 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

4 CAM - University of Cambridge [UK]

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

Keywords : Total variation Infimal convolution $$\mathrm {L}^{\infty }$$ norm Denoising Staircasing

Type de document :

Communication dans un congrès

Lorena Bociu; Jean-Antoine Désidéri; Abderrahmane Habbal. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. Springer International Publishing, IFIP Advances in Information and Communication Technology, AICT-494, pp.169-179, 2016, System Modeling and Optimization. 〈10.1007/978-3-319-55795-3_15〉

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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 $$p=\infty $$. Lorena Bociu; Jean-Antoine Désidéri; Abderrahmane Habbal. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. Springer International Publishing, IFIP Advances in Information and Communication Technology, AICT-494, pp.169-179, 2016, System Modeling and Optimization. 〈10.1007/978-3-319-55795-3_15〉. 〈hal-01626892〉

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

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

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