Browsing Open Access Repositories by Author "Benning, Martin"
Now showing items 1-9 of 9
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Entropic Comparison of Atomic-Resolution Electron Tomography of Crystals and Amorphous Materials
Collins, Sean Michael; Leary, RK; Midgley, Paul Anthony; Tovey, Robert; Benning, Martin; Schoenlieb, Carola-Bibiane; Rez, P; Treacy, MMJ (American Physical SocietyPhysical Review Letters, 2017-10-20)Electron tomography bears promise for widespread determination of the three-dimensional arrangement of atoms in solids. However, it remains unclear whether methods successful for crystals are optimal for amorphous solids. ...
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Learning parametrised regularisation functions via quotient minimisation
Benning, Martin; Gilboa, Guy; Schönlieb, Carola-Bibiane (WileyProceedings in Applied Mathematics and Mechanics, 2016-10-25)We propose a novel strategy for the computation of adaptive regularisation functions. The general strategy consists of minimising the ratio of a parametrised regularisation function; the numerator contains the regulariser ...
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Nonlinear spectral image fusion
Benning, Martin; Möller, M; Nossek, RZ; Burger, M; Cremers, D; Gilboa, G; Schönlieb, CB (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2017-01-01)© Springer International Publishing AG 2017. In this paper we demonstrate that the framework of nonlinear spectral decompositions based on total variation (TV) regularization is very well suited for image fusion as well ...
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Preconditioned ADMM with nonlinear operator constraint
Benning, Martin; Knoll, F; Schönlieb, CB; Valkonen, T (2016-01-01)
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Preconditioned ADMM with nonlinear operator constraint
Benning, Martin; Knoll, Florian; Schonlieb, Carola-Bibiane; Valkonen, Tuomo (SpringerIFIP Advances in Information and Communication Technology, 2016)We are presenting a modification of the well-known Alternating Direction Method of Multipliers (ADMM) algorithm with additional preconditioning that aims at solving convex optimisation problems with nonlinear operator ...
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Research Data Supporting "Preconditioned ADMM with nonlinear operator constraint"
Benning, Martin; Knoll, Florian; Schönlieb, Carola-Bibiana; Valkonen, Tuomo
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Research data supporting the publication "Inverse Scale Space Decomposition".
Schmidt, MF; Benning, Martin; Schoenlieb, Carola-Bibiane
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Research data supporting the publication 'Nonlinear Spectral Image Fusion'
Benning, Martin; Moeller, M; Nossek, R; Burger, M; Cremers, D; Gilboa, G; Schoenlieb, Carola-Bibiane