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

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Conference papers

Domain :

Computer Science [cs]

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

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