CIApapers.bib

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@techreport{Lellmann2014a,
  title = {Analysis and Application of a non-local Hessian},
  author = {Lellmann, J. and Papafitsoros, K. and Sch\"onlieb, C. and Spector, D.},
  institution = {arXiv 1410.8825 [math.NA]},
  year = {2014},
  type = {preprint},
  journal = {SIAM Journal on Imaging Sciences},
  owner = {Jan},
  timestamp = {2014.07.02}
}
@techreport{Lellmann2014,
  title = {Imaging with Kantorovich-Rubinstein Discrepancy},
  author = {Lellmann, J. and Lorenz, D. A. and Sch\"onlieb, C. and Valkonen, T.},
  institution = {arXiV 1407.0221 [cs.CV]},
  year = {2014},
  month = {July},
  type = {preprint},
  owner = {Jan},
  timestamp = {2014.07.02}
}
@article{Lenzen2014,
  title = {Solving QVIs for Image Denoising with Adaptive Constraint Sets},
  author = {Lenzen, F. and Lellmann, J. and Becker, F. and Schn\"orr, C.},
  journal = {J.~Imaging Sci.},
  year = {2014},
  pages = {to appear},
  owner = {Jan},
  timestamp = {2014.07.02}
}
@inproceedings{Albiez2006,
  author = {Albiez, J. and Giesler, B. and Lellmann, J. and Z\"ollner, J.~M.
	and Dillmann, R.},
  title = {Virtual Immersion for Tele-Controlling a Hexapod Robot},
  booktitle = {Climbing and Walking Robots},
  year = {2006},
  pages = {1087--1094},
  doi = {10.1007/3-540-26415-9_130},
  owner = {Jan},
  quality = {1},
  timestamp = {2013.01.14}
}
@inproceedings{Bae2013,
  author = {Bae, E. and Lellmann, J. and Cremers, D.},
  title = {Convex Relaxations for a Generalized Chan-Vese Model},
  booktitle = {Energy~Min.~Meth.~Comp.~Vis.~Pattern~Recogn.},
  year = {2013},
  owner = {Jan},
  timestamp = {2013.09.03}
}
@article{Breitenreicher2012,
  author = {Breitenreicher, D. and Lellmann, J. and Schn\"{o}rr, C.},
  title = {{COAL}: A Generic Modelling and Prototyping Framework for Convex
	Optimization Problems of Variational Image Analysis},
  journal = {Optim.~Meth.~Softw.},
  year = {2012},
  pages = {1--14},
  owner = {Jan},
  quality = {1},
  timestamp = {2013.01.14}
}
@article{Breitenreicher2011,
  author = {Breitenreicher, D. and Lellmann, J. and Schn\"{o}rr, C.},
  title = {Sparse Template-Based Variational Image Segmentation},
  journal = {Adv. Adaptive Data Analysis},
  year = {2011},
  volume = {3},
  pages = {149--166},
  owner = {Jan},
  timestamp = {2012.04.23}
}
@inproceedings{Kappes2013,
  author = {Kappes, J. H. and Andres, B. and Hamprecht, F. A. and Schn{\"o}rr,
	C. and Nowozin, S. and Batra, D. and Kim, S. and Kausler, B. X. and
	Lellmann, J. and Komodakis, N. and Rother, C.},
  title = {A Comparative Study of Modern Inference Techniques for Discrete Energy
	Minimization Problems},
  booktitle = {Comp. Vis. Pattern Recogn.},
  year = {2013}
}
@thesis{Lellmann2011b,
  author = {Lellmann, J.},
  title = {Nonsmooth Convex Variational Approaches to Image Analysis},
  school = {University of Heidelberg},
  year = {2011},
  owner = {Jan},
  timestamp = {2011.11.18}
}
@article{Lellmann2008a,
  author = {Lellmann, J. and Balzer, J. and Rieder, A. and Beyerer, J.},
  title = {Shape from Specular Reflection and Optical Flow},
  journal = {Int.~J.~Comp.~Vis.},
  year = {2008},
  volume = {80},
  pages = {226--241},
  number = {2},
  owner = {Jan},
  quality = {1},
  timestamp = {2013.01.14}
}
@inproceedings{Lellmann2009a,
  author = {Lellmann, J. and Becker, F. and Schn{\"o}rr, C.},
  title = {Convex Optimization for Multi-Class Image Labeling with a Novel Family
	of Total Variation Based Regularizers},
  booktitle = {Int.~Conf.~Comp.~Vis.},
  year = {2009},
  pages = {646--653},
  journal = {Int.~Conf.~Comp.~Vis.},
  owner = {Jan},
  timestamp = {2009.08.10}
}
@inproceedings{Lellmann2010,
  author = {Lellmann, J. and Breitenreicher, D. and Schn{\"o}rr, C.},
  title = {Fast and Exact Primal-Dual Iterations for Variational Problems in
	Computer Vision},
  booktitle = {Europ.~Conf.~Comp.~Vis.},
  year = {2010},
  volume = {6312},
  series = {Springer LNCS},
  pages = {494--505},
  owner = {Jan},
  timestamp = {2010.10.13}
}
@inproceedings{Lellmann2009,
  author = {Lellmann, J. and Kappes, J. and Yuan, J. and Becker, F. and Schn{\"o}rr,
	C.},
  title = {Convex Multi-Class Image Labeling by Simplex-Constrained Total Variation},
  booktitle = {Scale Space Var.~Meth.},
  year = {2009},
  volume = {5567},
  series = {Springer LNCS},
  pages = {150--162},
  institution = {Univ.~of Heidelberg},
  owner = {Jan},
  timestamp = {2008.11.18},
  type = {Tech.~Rep.}
}
@techreport{Lellmann2008,
  author = {Lellmann, J. and Kappes, J. and Yuan, J. and Becker, F. and Schn{\"o}rr,
	C.},
  title = {Convex Multi-Class Image Labeling by Simplex-Constrained Total Variation},
  institution = {Univ.~of Heidelberg},
  year = {2008},
  type = {Tech.~Rep.},
  owner = {Jan},
  timestamp = {2008.11.18}
}
@article{Lellmann2013,
  author = {Lellmann, J. and Lellmann, B. and Widmann, F. and Schn\"{o}rr, C.},
  title = {Discrete and Continuous Models for Partitioning Problems},
  journal = {Int.~J.~Comp.~Vis},
  year = {2013},
  volume = {104},
  pages = {241--269},
  number = {3},
  owner = {Jan},
  quality = {1},
  timestamp = {2013.01.14}
}
@article{Lellmann2012,
  author = {Lellmann, J. and Lenzen, F. and Schn\"{o}rr, C.},
  title = {Optimality Bounds for a Variational Relaxation of the Image Partitioning
	Problem},
  journal = {J.~Math.~Imaging Vis.},
  year = {2013},
  volume = {47},
  pages = {239--257},
  number = {3},
  owner = {Jan},
  quality = {1},
  timestamp = {2013.01.09}
}
@inproceedings{Lellmann2011,
  author = {Lellmann, J. and Lenzen, F. and Schn\"{o}rr, C.},
  title = {Optimality Bounds for a Variational Relaxation of the Image Partitioning
	Problem},
  booktitle = {Energy Min. Meth. Comp. Vis. Patt. Recogn.},
  year = {2011},
  volume = {6819},
  series = {Springer LNCS},
  pages = {132--146},
  owner = {Jan},
  timestamp = {2011.06.25}
}
@techreport{Lellmann2011d,
  author = {Lellmann, J. and Lenzen, F. and Schn\"{o}rr, C.},
  title = {Optimality Bounds for a Variational Relaxation of the Image Partitioning
	Problem},
  year = {2011},
  type = {Tech.~Rep.},
  number = {arXiv:1112.0974v1 [cs.CV]},
  booktitle = {Energy Min. Meth. Comp. Vis. Patt. Recogn.},
  owner = {Jan},
  timestamp = {2011.06.25}
}
@inproceedings{Lellmann2013a,
  author = {Lellmann, J. and Morel, J.-M. and Sch\"onlieb, C.},
  title = {Anisotropic Third-Order Regularization for Sparse Digital Elevation
	Models},
  booktitle = {Scale Space Var.~Meth.},
  year = {2013},
  volume = {7893},
  series = {Springer LNCS},
  pages = {161--173},
  owner = {Jan},
  quality = {1},
  timestamp = {2013.01.14}
}
@conference{Lellmann2012b,
  author = {Lellmann, J. and Sch\"onlieb, C.},
  title = {Workshop on Statistics, Learning and Variational Methods in Imaging
	at the {University} of {Cambridge}},
  year = {2012},
  month = {September},
  owner = {Jan},
  quality = {1},
  timestamp = {2013.01.14}
}
@article{Lellmann2011c,
  author = {Lellmann, J. and Schn{\"o}rr, C.},
  title = {Continuous Multiclass Labeling Approaches and Algorithms},
  journal = {J.~Imaging Sci.},
  year = {2011},
  volume = {4},
  pages = {1049--1096},
  number = {4},
  owner = {Jan},
  timestamp = {2010.03.07},
  type = {Tech.~Rep.}
}
@techreport{Lellmann2010a,
  author = {Lellmann, J. and Schn{\"o}rr, C.},
  title = {Continuous Multiclass Labeling Approaches and Algorithms},
  institution = {Univ.~of Heidelberg},
  year = {2010},
  type = {Tech.~Rep.},
  month = {February},
  owner = {Jan},
  timestamp = {2010.03.07}
}
@article{Lellmann2011a,
  author = {Lellmann, J. and Schn\"{o}rr, C.},
  title = {Regularizers for Vector-Valued Data and Labeling Problems in Image
	Processing},
  journal = {Controls Systems and Computers},
  year = {2011},
  volume = {2},
  pages = {43--54},
  owner = {Jan},
  timestamp = {2011.07.15}
}
@inproceedings{Lellmann2013b,
  author = {Lellmann, J. and Strekalovskiy, E. and Koetter, S. and Cremers, D.},
  title = {Total Variation Regularization for Functions with Values in a Manifold},
  booktitle = {Int.~Conf.~Comp.~Vis.},
  year = {2013},
  owner = {Jan},
  timestamp = {2013.09.03}
}
@inproceedings{Lenzen2013,
  author = {Lenzen, F. and Becker, F. and Lellmann, J.},
  title = {Adaptive Second-Order Total Variation: An Approach Aware of Surface
	Discontinuities},
  booktitle = {Scale Space Var.~Meth.},
  year = {2013},
  owner = {Jan},
  quality = {1},
  timestamp = {2013.01.14}
}
@article{Lellmann2012a,
  author = {Lenzen, F. and Becker, F. and Lellmann, J. and Petra, S. and Schn\"orr,
	C.},
  title = {A Class of Quasi-Variational Inequalities for Adaptive Image Denoising
	and Decomposition},
  journal = {Comput.~Optim.~Appl.},
  year = {2012},
  volume = {54},
  pages = {371--398},
  number = {2},
  owner = {Jan},
  quality = {1},
  timestamp = {2013.01.14}
}
@inproceedings{Lenzen2012,
  author = {Lenzen, F. and Becker, F. and Lellmann, J. and Petra, S. and Schn\"orr,
	C.},
  title = {Variational Image Denoising with Adaptive Constraint Sets},
  booktitle = {Scale Space Var.~Meth.},
  year = {2012},
  volume = {6667},
  series = {Springer LNCS},
  pages = {206--217},
  owner = {Jan},
  quality = {1},
  timestamp = {2013.01.14}
}
@article{tuomov-mwsor,
  author = {T. Valkonen},
  title = {Convergence of a {SOR}-{W}eiszfeld type algorithm for incomplete 
           data sets},
  journal = {Numerical Functional Analysis and Optimization},
  year = 2006,
  volume = 27,
  number = {7--8},
  month = dec,
  pages = {931--952},
  doi = {10.1080/01630560600791213},
  note = {(Errata in vol. 29, no 9--10, 2008)}
}
@article{tuomov-multip,
  author = {T. Valkonen and Tommi K\"arkk\"ainen},
  title = {Clustering and the perturbed spatial median},
  journal = {Mathematical and Computer Modelling},
  year = 2010,
  volume = 52,
  issue = {1--2},
  month = jul,
  pages = {87--106},
  doi = {10.1016/j.mcm.2010.01.018},
  url = {http://tuomov.iki.fi/mathematics/multip.pdf}
}
@article{tuomov-tsp,
  author = {T. Valkonen and Tommi K\"arkk\"ainen},
  title = {Continuous reformulations and heuristics for the {E}uclidean
           travelling salesperson problem},
  journal = {ESAIM: Control, Optimization and Calculus of Variations},
  year = 2009,
  volume = 15,
  number = 4,
  _url = {httpBe/tuomov.iki.fi/mathematics/tsp.pdf}
}
@article{l1nsor,
  author = {Roland Glowinski and Tommi K\"arkk\"ainen and T. Valkonen and Andriy Ivannikov},
  title = {Nonsmooth {SOR} for {$L^1$}-fitting: {C}onvergence study and Discussion of Related Issues},
  journal = {Journal of Scientific Computing},
  year = 2008,
  month = nov,
  volume = {37},
  number = {2},
  pages = {103-138},
  doi = {10.1007/s10915-008-9229-1},
  url = {http://tuomov.iki.fi/mathematics/l1fitting.pdf}
}
@article{tuomov-idcs,
  author = {T. Valkonen},
  title = {A primal-dual interior point method for diff-convex problems on symmetric cones},
  journal = {Optimization},
  note = {Published online},
  year = 2011,
  url = {http://tuomov.iki.fi/mathematics/idcs.pdf},
  doi = {10.1080/02331934.2011.585465}
}
@article{tuomov-dcslos,
  author = {T. Valkonen},
  title = {Refined optimality conditions for differences of convex functions},
  journal = {Journal of Global Optimization},
  year = 2010,
  volume = 48,
  number = 2,
  pages = {311-321},
  doi = {10.1007/s10898-009-9495-y},
  url = {http://tuomov.iki.fi/mathematics/dcslos.pdf}
}
@thesis{tuomov-thesis,
  author = {T. Valkonen},
  title = {Diff-convex combinations of {E}uclidean distances: a search for optima},
  _school = {University of Jyv{\"a}skyl{\"a}},
  year = {2008},
  series = {Jyv{\"a}skyl{\"a} Studies in Computing},
  publisher = {University of Jyv{\"a}skyl{\"a}},
  number = 99,
  note = {{Ph.D} Thesis},
  url = {http://tuomov.iki.fi/mathematics/thesis.pdf}
}
@article{tuomov-tns,
  author = {T. Valkonen},
  title = {Optimal transportation networks and stations},
  journal = {Interfaces and Free Boundaries},
  year = 2009,
  volume = 11,
  number = 4,
  pages = {569--597},
  doi = {10.4171/IFB/223},
  url = {http://tuomov.iki.fi/mathematics/tns.pdf}
}
@article{tuomov-bd,
  author = {T. Valkonen},
  title = {Transport equation and image interpolation with {SBD} velocity fields},
  year = 2011,
  journal = {Journal de math{\'e}matiques pures et appliqu{\'e}es},
  volume = 95,
  pages = {459--494},
  doi = {10.1016/j.matpur.2010.10.010},
  url = {http://tuomov.iki.fi/mathematics/bd.pdf}
}
@article{tuomov-ap1,
  author = {T. Valkonen},
  title = {Strong polyhedral approximation of simple jump sets},
  year = 2012,
  journal = {Nonlinear Analysis: Theory, Methods, \& Applications},
  volume = 75,
  issue = 8,
  pages = {3641-3671},
  doi = {10.1016/j.na.2012.01.022},
  url = {http://tuomov.iki.fi/mathematics/ap1.pdf}
}
@inproceedings{sampta2011tgv,
  author = {Kristian Bredies and T. Valkonen},
  title = {Inverse problems with second-order total generalized variation constraints},
  booktitle = {Proceedings of SampTA 2011 -- 9th International Conference on Sampling Theory and Applications, Singapore},
  year = 2011,
  url = {http://tuomov.iki.fi/mathematics/SampTA2011.pdf}
}
@techreport{tuomov-scaleproj-report,
  author = {T. Valkonen},
  title = {A method for weighted projections to the positive definite cone},
  year = 2012,
  institution = {Karl-Franzens University of Graz},
  number = {2012-016},
  type = {SFB-Report},
  url = {http://math.uni-graz.at/mobis/publications/SFB-Report-2012-016.pdf}
}
@article{l1tgv,
  author = {Kristian Bredies and Karl Kunisch and T. Valkonen},
  title = {Properties of {$L^1$-$\mbox{TGV}^2$}: The one-dimensional case},
  year = 2013,
  journal = {Journal of Mathematical Analysis and Applications},
  volume = 398,
  pages = {438--454},
  doi = {10.1016/j.jmaa.2012.08.053},
  url = {http://math.uni-graz.at/mobis/publications/SFB-Report-2011-006.pdf}
}
@inproceedings{ipmsproc,
  author = {T. Valkonen and Florian Knoll and Kristian Bredies},
  title = {{TGV} for diffusion tensors: A comparison of fidelity functions},
  month = may,
  year = 2012,
  journal = {Journal of Inverse and Ill-Posed Problems},
  booktitle = {Journal of Inverse and Ill-posed problems special issue for IP:M\&S 2012},
  address = {Antalya, Turkey},
  note = {To appear},
  url = {http://tuomov.iki.fi/mathematics/ipmsproc.pdf}
}
@inproceedings{escoproc,
  author = {T. Valkonen and Manfred Liebmann},
  title = {{GPU}-accelerated regularisation of large diffusion-tensor volumes},
  month = may,
  year = 2012,
  journal = {Computing},
  booktitle = {Computing special issue for ESCO 2012},
  address = {Pilsen, Czech Republic},
  note = {To appear},
  url = {http://tuomov.iki.fi/mathematics/escoproc.pdf},
  doi = {10.1007/s00607-012-0277-x}
}
@article{tuomov-dtireg,
  author = {T. Valkonen and Kristian Bredies and Florian Knoll},
  title = {Total generalised variation in diffusion tensor imaging},
  journal = {SIAM Journal on Imaging Sciences},
  year = 2013,
  note = {Accepted},
  url = {http://tuomov.iki.fi/mathematics/dtireg.pdf}
}
@unpublished{phaserec,
  title = {Phase reconstruction from velocity-encoded {MRI} measurements -- {A} survey of sparsity-promoting variational approaches},
  author = {Martin Benning and Lynn Gladden and Daniel Holland and Carola-Bibiane Sch{\"o}nlieb and T. Valkonen},
  note = {Submitted},
  year = 2013,
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/phaserec.pdf}
}
@unpublished{tuomov-nlpdhgm,
  title = {A primal-dual hybrid gradient method for non-linear operators wit applications to {MRI}},
  author = {T. Valkonen},
  note = {Submitted},
  year = 2013,
  url = {http://iki.fi/tuomov/mathematics/nl-pdhgm.pdf}
}
@unpublished{papfitsoros2013study,
  author = {K. Papafitsoros and K. Bredies},
  year = {2013},
  title = {A study of the one dimensional total generalised variation regularisation problem},
  note = {Preprint},
  url = {http://www.maths.cam.ac.uk/postgrad/cca/files/tgv_final_draft.pdf}
}
@techreport{tuomov-jumpset,
  title = {The jump set under geometric regularisation.
           {Part 1}: Basic technique and first-order denoising},
  author = {T. Valkonen},
  note = {Submitted},
  url = {http://iki.fi/tuomov/mathematics/jumpset.pdf},
  year = 2014,
  month = jul,
  tuomov_cv_type = {submitted},
  tuomov_cv_order = 33,
  eprint = {1407.1531},
  archiveprefix = {arXiv},
  institution = {arXiv: 1407.1531 [math.FA]}
}
@techreport{tuomov-jumpset2,
  title = {The jump set under geometric regularisation. {Part 2}: Higher-order approaches},
  author = {T. Valkonen},
  note = {Submitted},
  url = {http://iki.fi/tuomov/mathematics/jumpset2.pdf},
  year = 2014,
  month = jul,
  tuomov_cv_type = {submitted},
  tuomov_cv_order = 33,
  eprint = {1407.2334},
  archiveprefix = {arXiv},
  institution = {arXiv: 1407.2334 [math.FA]}
}
@incollection{papafitsoros2015asymptotic,
  year = {2015},
  isbn = {978-3-319-18460-9},
  booktitle = {Scale Space and Variational Methods in Computer Vision (SSVM 2015)},
  volume = {9087},
  series = {Lecture Notes in Computer Science},
  _editor = {Aujol, Jean-Fran├žois and Nikolova, Mila and Papadakis, Nicolas},
  doi = {10.1007/978-3-319-18461-6_56},
  title = {Asymptotic Behaviour of Total Generalised Variation},
  _publisher = {Springer International Publishing},
  keywords = {Total variation; Total generalised variation; Regularisation parameters; Asymptotic behaviour of regularisers},
  author = {Papafitsoros, Konstantinos and Valkonen, T.},
  pages = {702-714},
  language = {English},
  url = {http://tuomov.iki.fi/mathematics/ssvm2015-40.pdf},
  eprint = {1502.06933},
  archiveprefix = {arXiv},
  tuomov_cv_type = {conference},
  tuomov_cv_order = 39
}
@unpublished{calatroni2015bilevel,
  title = {Bilevel approaches for learning of variational imaging models},
  author = {Luca Calatroni and Chung Cao and Juan Carlos de Los Reyes and Carola-Bibiane Sch{\"o}nlieb and T. Valkonen},
  note = {Submitted},
  year = 2015,
  url = {http://tuomov.iki.fi/mathematics/ricam2015.pdf},
  eprint = {1505.02120},
  archiveprefix = {arXiv},
  tuomov_cv_type = {conference},
  tuomov_cv_order = 390
}
@unpublished{tuomov-interior,
  title = {The structure of optimal parameters for image restoration problems},
  author = {Juan Carlos de Los Reyes and Carola-Bibiane Sch{\"o}nlieb and T. Valkonen},
  note = {Submitted},
  url = {http://tuomov.iki.fi/mathematics/interior.pdf},
  year = 2015,
  eprint = {1505.01953},
  archiveprefix = {arXiv},
  tuomov_cv_type = {submitted},
  tuomov_cv_order = 400
}
@unpublished{tuomov-tgvlearn,
  title = {Bilevel parameter learning for higher-order total variation regularisation models},
  author = {Juan Carlos de Los Reyes and Carola-Bibiane Sch{\"o}nlieb and T. Valkonen},
  note = {submitted},
  year = 2015,
  tuomov_cv_type = {submitted},
  tuomov_cv_order = 410,
  url = {http://tuomov.iki.fi/mathematics/tgv_learn.pdf},
  eprint = {1508.07243},
  archiveprefix = {arXiv}
}
@unpublished{tuomov-constrdti,
  title = {Diffusion tensor imaging with deterministic error bounds},
  author = {Artur Gorokh and Yuri Korolev and T. Valkonen},
  note = {submitted},
  year = 2015,
  url = {http://tuomov.iki.fi/mathematics/constr-dti.pdf},
  tuomov_cv_type = {submitted},
  tuomov_cv_order = 420
}
@incollection{tuomov-big-images,
  title = {Optimising Big Images},
  author = {T. Valkonen},
  booktitle = {Big Data Optimization: Recent Developments and Challenges},
  series = {Studies in Big Data},
  editor = {Ali Emrouznejad},
  publisher = {Springer-Verlag},
  year = 2015,
  note = {Accepted},
  tuomov_cv_type = {chapter},
  tuomov_cv_order = 37
}
@article{tuomov-tvq,
  title = {Limiting aspects of non-convex {$\mbox{TV}^\varphi$} models},
  author = {Michael Hinterm\"uller and T. Valkonen and Tao Wu},
  journal = {SIAM Journal on Imaging Sciences},
  year = 2015,
  note = {Accepted},
  url = {http://tuomov.iki.fi/mathematics/tvq.pdf},
  eprint = {1412.7572},
  archiveprefix = {arXiv},
  tuomov_cv_type = {journal},
  tuomov_cv_order = 34
}
@article{Ehrhardt2016a,
  author = {Ehrhardt, Matthias Joachim and Markiewicz, Pawel and Liljeroth, Maria and Barnes, Anna and Kolehmainen, Ville and Duncan, John and Pizarro, Luis and Atkinson, David and Hutton, Brian F. and Ourselin, Sebastien and Thielemans, Kris and Arridge, Simon R.},
  doi = {10.1109/TMI.2016.2549601},
  isbn = {0278-0062 VO - PP},
  issn = {0278-0062},
  journal = {IEEE Transactions on Medical Imaging},
  number = {9},
  pages = {2189--2199},
  title = {{PET Reconstruction with an Anatomical MRI Prior using Parallel Level Sets}},
  volume = {35},
  year = {2016}
}
@article{Ehrhardt2016b,
  archiveprefix = {arXiv},
  arxivid = {1511.06631},
  author = {Ehrhardt, Matthias Joachim and Betcke, Marta M.},
  doi = {10.1137/15M1047325},
  eprint = {1511.06631},
  journal = {SIAM Journal on Imaging Sciences},
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  title = {{Multi-Contrast MRI Reconstruction with Structure-Guided Total Variation}},
  volume = {9},
  year = {2016}
}
@inproceedings{Benning2016a,
  archiveprefix = {arXiv},
  arxivid = {1612.02506},
  author = {Benning, Martin and Betcke, Marta M. and Ehrhardt, Matthias Joachim and Sch{\"{o}}nlieb, Carola-Bibiane},
  booktitle = {Geometric Numerical Integration and its Applications},
  eprint = {1612.02506},
  pages = {40----45},
  publisher = {MI Lecture Notes series of Kyushu University},
  title = {{Gradient Descent in a Generalised Bregman Distance Framework}},
  url = {http://arxiv.org/abs/1612.02506},
  year = {2016}
}
@techreport{Chambolle2017,
  archiveprefix = {arXiv},
  arxivid = {1706.04957},
  author = {Chambolle, Antonin and Ehrhardt, Matthias Joachim and Richt{\'{a}}rik, Peter and Sch{\"{o}}nlieb, Carola-Bibiane},
  eprint = {1706.04957},
  month = jun,
  title = {{Stochastic Primal-Dual Hybrid Gradient Algorithm with Arbitrary Sampling and Imaging Applications}},
  url = {http://arxiv.org/abs/1706.04957},
  year = {2017}
}
@inproceedings{Ehrhardt2017SPIE,
  address = {San Diego},
  author = {Ehrhardt, Matthias Joachim and Markiewicz, Pawel J. and Richt{\'{a}}rik, Peter and Schott, Jonathan and Chambolle, Antonin and Sch\"onlieb, Carola-Bibiane},
  booktitle = {SPIE Optics+Photonics:Wavelets and Sparsity XVII},
  doi = {10.1117/12.2272946},
  isbn = {9781510612457},
  title = {{Faster PET Reconstruction with a Stochastic Primal-Dual Hybrid Gradient Method}},
  url = {https://www.spiedigitallibrary.org/conference-proceedings-of-spie/10394/2272946/Faster-PET-reconstruction-with-a-stochastic-primal-dual-hybrid-gradient/10.1117/12.2272946.full},
  year = {2017}
}
@unpublished{Bungert2017,
  archiveprefix = {arXiv},
  arxivid = {1710.05705},
  author = {Bungert, Leon and Coomes, David A. and Ehrhardt, Matthias Joachim and Rasch, Jennifer and Reisenhofer, Rafael and Sch{\"{o}}nlieb, Carola-Bibiane},
  eprint = {1710.05705},
  pages = {1--23},
  title = {{Blind Image Fusion for Hyperspectral Imaging with the Directional Total Variation}},
  url = {http://arxiv.org/abs/1710.05705},
  year = {2017}
}
@article{tayler2014ultrafast,
  title = {Ultrafast magnetic-resonance-imaging velocimetry of liquid-liquid systems: Overcoming chemical-shift artifacts using compressed sensing},
  author = {Tayler, Alexander B and Benning, Martin and Sederman, Andrew J and Holland, Daniel J and Gladden, Lynn F},
  journal = {Physical Review E},
  volume = {89},
  number = {6},
  pages = {063009},
  year = {2014},
  publisher = {American Physical Society}
}
@article{fabich2014ultrashort,
  title = {Ultrashort echo time (UTE) imaging using gradient pre-equalization and compressed sensing},
  author = {Fabich, Hilary T and Benning, Martin and Sederman, Andrew J and Holland, Daniel J},
  journal = {Journal of Magnetic Resonance},
  volume = {245},
  pages = {116--124},
  year = {2014},
  publisher = {Academic Press}
}
@article{moeller2015variational,
  title = {Variational depth from focus reconstruction},
  author = {Moeller, Michael and Benning, Martin and Sch{\"o}nlieb, Carola and Cremers, Daniel},
  journal = {IEEE Transactions on Image Processing},
  volume = {24},
  number = {12},
  pages = {5369--5378},
  year = {2015},
  publisher = {IEEE}
}
@article{saghi2015reduced,
  title = {Reduced-dose and high-speed acquisition strategies for multi-dimensional electron microscopy},
  author = {Saghi, Zineb and Benning, Martin and Leary, Rowan and Macias-Montero, Manuel and Borras, Ana and Midgley, Paul A},
  journal = {Advanced Structural and Chemical Imaging},
  volume = {1},
  number = {1},
  pages = {1--10},
  year = {2015},
  publisher = {Springer International Publishing}
}
@article{von2015quantitative,
  title = {Quantitative mapping of chemical compositions with MRI using compressed sensing},
  author = {von Harbou, Erik and Fabich, Hilary T and Benning, Martin and Tayler, Alexander B and Sederman, Andrew J and Gladden, Lynn F and Holland, Daniel J},
  journal = {Journal of Magnetic Resonance},
  volume = {261},
  pages = {27--37},
  year = {2015},
  publisher = {Academic Press}
}
@article{benning2015preconditioned,
  title = {Preconditioned ADMM with nonlinear operator constraint},
  author = {Benning, Martin and Knoll, Florian and Sch{\"o}nlieb, Carola-Bibiane and Valkonen, Tuomo},
  journal = {(to appear in) IFIP Advances in Information and Communication Technology},
  year = {2016},
  publisher = {Springer}
}
@article{ramskill2016fast,
  title = {Fast Imaging of Laboratory Core Floods using 3D Compressed Sensing RARE MRI},
  author = {Ramskill, NP and Bush, I and Sederman, AJ and Mantle, MD and Benning, M and Anger, BC and Appel, M and Gladden, LF},
  journal = {Journal of Magnetic Resonance},
  year = {2016},
  publisher = {Academic Press}
}
@article{Burger2017,
  archiveprefix = {arXiv},
  arxivid = {1610.08108},
  author = {M. Burger and B. D\"{u}ring and L. M. Kreusser and P. A. Markowich and C.-B. Sch\"{o}nlieb},
  title = {Pattern formation of a nonlocal, anisotropic interaction model},
  eprint = {1610.08108},
  url = {https://arxiv.org/abs/1610.08108},
  year = {2018},
  journal = {(to appear in) Mathematical Models and Methods in Applied Sciences}
}
@article{Klar2017,
  archiveprefix = {arXiv},
  arxivid = {1512.01074},
  author = {A. Klar and L. M. Kreusser and O. Tse},
  eprint = {1512.01074},
  journal = {(to appear in) SIAM Journal on Mathematical Analysis},
  title = {{Trend to equilibrium for a delay Vlasov-Fokker-Planck equation and explicit decay estimates}},
  url = {https://arxiv.org/abs/1512.01074},
  year = {2017}
}
@article{GrahMethods2017,
  author = {Joana Sarah Grah and Jennifer Alison Harrington and Siang Boon Koh and Jeremy Andrew Pike and Alexander Schreiner and Martin Burger and Carola-Bibiane Sch\"onlieb and Stefanie Reichelt},
  title = {Mathematical imaging methods for mitosis analysis in live-cell phase contrast microscopy},
  journal = {Methods},
  year = {2017},
  volume = {115},
  pages = {91 - 99},
  issn = {1046-2023},
  note = {Image Processing for Biologists},
  doi = {http://dx.doi.org/10.1016/j.ymeth.2017.02.001},
  url = {http://www.sciencedirect.com/science/article/pii/S1046202317300518}
}
@inproceedings{BenningSSVM2017,
  archiveprefix = {arXiv},
  arxivid = {1704.00989},
  author = {Benning, Martin and Gilboa, Guy and Grah, Joana Sarah and Sch{\"o}nlieb, Carola-Bibiane},
  eprint = {1704.00989},
  title = {Learning Filter Functions in Regularisers by Minimising Quotients},
  booktitle = {International Conference on Scale Space and Variational Methods in Computer Vision},
  year = {2017},
  pages = {511--523},
  organization = {Springer},
  url = {https://link.springer.com/chapter/10.1007/978-3-319-58771-4_41}
}
@inproceedings{BrinkmannSSVM2015,
  archiveprefix = {arXiv},
  arxivid = {1503.02044},
  author = {Brinkmann, Eva-Maria and Burger, Martin and Grah, Joana},
  eprint = {1503.02044},
  title = {Regularization with sparse vector fields: from image compression to TV-type reconstruction},
  booktitle = {International Conference on Scale Space and Variational Methods in Computer Vision},
  year = {2015},
  pages = {191--202},
  organization = {Springer},
  url = {https://link.springer.com/chapter/10.1007/978-3-319-18461-6_16}
}
@article{lee2015nonparametric,
  title = {Nonparametric image registration of airborne LiDAR, hyperspectral and photographic imagery of wooded landscapes},
  author = {Lee, Juheon and Cai, Xiaohao and Sch{\"o}nlieb, Carola-Bibiane and Coomes, David A},
  journal = {IEEE Transactions on Geoscience and Remote Sensing},
  volume = {53},
  number = {11},
  pages = {6073--6084},
  year = {2015},
  publisher = {IEEE}
}
@article{lee2016individual,
  title = {Individual tree species classification from airborne multisensor imagery using robust PCA},
  author = {Lee, Juheon and Cai, Xiaohao and Lellmann, Jan and Dalponte, Michele and Malhi, Yadvinder and Butt, Nathalie and Morecroft, Mike and Sch{\"o}nlieb, Carola-Bibiane and Coomes, David A},
  journal = {IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing},
  volume = {9},
  number = {6},
  pages = {2554--2567},
  year = {2016},
  publisher = {IEEE}
}
@inproceedings{lee2015mapping,
  title = {Mapping individual trees from airborne multi-sensor imagery},
  author = {Lee, Juheon and Cai, Xiaohao and Sch{\"o}nlieb, Carola-Bibiane and Coomes, David},
  booktitle = {Geoscience and Remote Sensing Symposium (IGARSS), 2015 IEEE International},
  pages = {5411--5414},
  year = {2015},
  organization = {IEEE}
}
@inproceedings{Benning2013,
  author = {Benning, M. and Calatroni, L. and D\"uring, B. and Sch\"onlieb, C.-B.},
  title = {A primal-dual approach for a total variation Wasserstein flow},
  booktitle = {Geometric Science of Information},
  year = {2013},
  pages = {1--8},
  owner = {Carola},
  quality = {1},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/paper_OT_primaldual.pdf}
}
@article{Calatroni2013,
  author = {Calatroni, L. and D\"uring, B. and Sch\"onlieb, C.-B.},
  title = {ADI splitting schemes for a fourth-order nonlinear partial differential equation from image processing},
  journal = {Discrete \& Continuous Dynamical Systems -- Series A},
  year = {2013},
  pages = {1--27},
  owner = {Carola},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/paperADI.pdf}
}
@article{DeLosReyes2012,
  author = {De Los Reyes, J.-C. and Sch\"onlieb, C.-B.},
  title = {Image denoising: Learning noise distribution via PDE-constrained optimisation},
  journal = {Inverse Problems and Imaging},
  year = {2012},
  pages = {1--23},
  owner = {Carola},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/noisecontrol.pdf}
}
@article{Papafitsoros2012,
  author = {Papafitsoros, K. and Sch\"onlieb, C.-B.},
  title = {A combined first and second order variational approach for image reconstruction},
  journal = {Journal of Mathematical Imaging and Vision},
  year = {2012},
  pages = {1--33},
  owner = {Carola},
  url = {http://arxiv.org/abs/1202.6341}
}
@article{Papafitsoros2012a,
  author = {Papafitsoros, K. and Sch\"onlieb, C.-B. and Sengul, B.},
  title = {Combined first and second order total variation inpainting using split Bregman},
  journal = {Image Processing Online},
  year = {2013},
  pages = {1--25},
  owner = {Carola},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/IPOL_TV_TV2_revised.pdf}
}
@article{Schubert2013,
  author = {Schubert, F. and Sch\"onlieb, C.-B.},
  title = {Random Simulations for Generative Art Construction -- Some Examples},
  journal = {Journal of Mathematics and the Arts},
  year = {2013},
  pages = {1--14},
  owner = {Carola},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/generativeart.pdf}
}
@article{Langer2013,
  author = {Langer, A. and Osher, S. and Sch\"onlieb, C.-B.},
  title = {Bregmanized Domain Decomposition for Image Restoration},
  journal = {Journal of Scientific Computing},
  year = {2013},
  volume = {54},
  number = {2--3},
  pages = {549--576},
  owner = {Carola},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/BregmanizedDDf.pdf}
}
@article{Fornasier2012,
  author = {Fornasier, M. and Kim, Y. and Langer, A. and Osher, S. and Sch\"onlieb, C.-B.},
  title = {Wavelet Decomposition Method for L2/TV-Image Deblurring},
  journal = {SIAM J. Imaging Sci.},
  year = {2012},
  volume = {5},
  number = {3},
  pages = {857--885},
  owner = {Carola},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/fklssiam.pdf}
}
@article{Gottschlich2012,
  author = {Gottschlich, C. and Sch\"onlieb, C.-B.},
  title = {Oriented Diffusion Filtering for Enhancing Low-quality Fingerprint Images},
  journal = {IET Biometrics},
  month = {June},
  year = {2012},
  volume = {1},
  number = {2},
  pages = {105--113},
  owner = {Carola},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/fingerprint.pdf}
}
@article{Burger2012,
  author = {Burger, M. and Franek, M. and Sch\"onlieb, C.-B.},
  title = {Regularised Regression and Density estimation based on Optimal Transport},
  journal = {Appl. Math. Res. Express},
  year = {2012},
  volume = {2},
  pages = {209--253},
  owner = {Carola},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/finalwasserpaper.pdf}
}
@article{Schoenlieb2011,
  author = {Sch\"onlieb, C.-B. and Bertozzi, A.},
  title = {Unconditionally stable schemes for higher order inpainting},
  journal = {Communications in Mathematical Sciences},
  year = {2011},
  volume = {9},
  number = {2},
  pages = {413--457},
  owner = {Carola},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/convsplit.pdf}
}
@article{Fornasier2010,
  author = {Fornasier, M. and Langer, A. and Sch\"onlieb, C.-B.},
  title = {A convergent overlapping domain decomposition method for total variation minimization},
  journal = {Numerische Mathematik},
  year = {2010},
  volume = {116},
  number = {4},
  pages = {645--685},
  owner = {Carola},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/overlapping.pdf}
}
@article{Burger2009,
  author = {Burger, M. and He, L. and Sch\"onlieb, C.-B.},
  title = {Cahn-Hilliard inpainting and a generalization for grayvalue images},
  journal = {SIAM J. Imaging Sci.},
  year = {2009},
  volume = {2},
  number = {4},
  pages = {1129--1167},
  owner = {Carola},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/ch%26tvinpainting.pdf}
}
@article{Fornasier2009,
  author = {Fornasier, M. and Sch\"onlieb, C.-B.},
  title = {Subspace correction methods for total variation and l1-minimization},
  journal = {SIAM J. Numer. Anal.},
  year = {2009},
  volume = {47},
  number = {5},
  pages = {3397--3428},
  owner = {Carola},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/subsp.pdf}
}
@article{Rossi2010,
  author = {Rossi, J. D. and Sch\"onlieb, C.-B.},
  title = {Nonlocal higher order evolution equations},
  journal = {Applicable Analysis},
  year = {2010},
  volume = {89},
  number = {6},
  pages = {949--960},
  owner = {Carola},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/NonlocalHigher.pdf}
}
@article{Bonder2008,
  author = {Bonder, J. F. and Rossi, J. D. and Sch\"onlieb, C.-B.},
  title = {The Best Constant and Extremals of the Sobolev Embeddings in Domains With Holes: the L-infinity Case},
  journal = {Illinois Journal of Mathematics},
  year = {2008},
  volume = {52},
  number = {4},
  pages = {1111--1121},
  owner = {Carola},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/infty.pdf}
}
@article{Bonder2008a,
  author = {Bonder, J. F. and Rossi, J. D. and Sch\"onlieb, C.-B.},
  title = {An Optimization Problem Related to the Best Sobolev Trace Constant in Thin Domains},
  journal = {Communications in Contemporary Mathematics},
  year = {2008},
  volume = {10},
  number = {5},
  pages = {633--650},
  owner = {Carola},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/thin_holes.pdf}
}
@article{Burger2008,
  author = {Burger, M. and Chu, S.-Y. and Markowich, P. and Sch\"onlieb, C.-B.},
  title = {The Willmore Functional and Instabilities in the Cahn-Hilliard equation},
  journal = {Communications in Mathematical Sciences},
  year = {2008},
  volume = {6},
  number = {2},
  pages = {309--329},
  owner = {Carola},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/cahn_hilliard_willmore.pdf}
}
@inproceedings{Duering2012,
  author = {D\"uring, B. and Sch\"onlieb, C.-B.},
  title = {A high-contrast fourth-order PDE from imaging: numerical solution by ADI splitting},
  booktitle = {AMS Contemporary Mathematics},
  year = {2012},
  pages = {1--11},
  owner = {Carola},
  quality = {1},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/papertvwasser.pdf}
}
@inproceedings{Barbano2011,
  author = {Barbano, P.-E. and Fokas, A. and Sch\"onlieb, C.-B.},
  title = {Alternating regularisation in measurement- and image space for PET reconstruction},
  booktitle = {Proc. Int. Conf. Sampling Theory and Applications},
  year = {2011},
  pages = {1--4},
  owner = {Carola},
  quality = {1},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/SampTA2011_PET.pdf}
}
@inproceedings{Bauer2010,
  author = {Bauer, U. and Sch\"onlieb, C.-B. and Wardetzky, M.},
  title = {Total variation meets topological persistence: A first encounter},
  booktitle = {AIP Proceedings, ICNAAM, Numerical Analysis and Applied Mathematics},
  year = {2010},
  pages = {1022--1025},
  owner = {Carola},
  quality = {1},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/tv_critical_points.pdf}
}
@inproceedings{Kostner2010,
  author = {Kostner, M. and Schubert, F. and Sch\"onlieb, C.-B.},
  title = {Chaos, Noise, Randomness and Coincidence as Constitutional for Generative Art},
  booktitle = {Proceedings of Bridges},
  year = {2010},
  pages = {467--470},
  owner = {Carola},
  quality = {1},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/bridges2010.pdf}
}
@inproceedings{Baatz2009,
  author = {Baatz, W. and Fornasier, M. and Markowich, P. and Sch\"onlieb, C.-B.},
  title = {Binary Based Fresco Restoration},
  booktitle = {Proceedings of Bridges},
  year = {2009},
  pages = {337--338},
  owner = {Carola},
  quality = {1},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/paper_bridges81.pdf}
}
@inproceedings{Schoenlieb2009a,
  author = {Sch\"onlieb, C.-B. and Bertozzi, A. and Burger, M. and He, L.},
  title = {Image Inpainting Using a Fourth-Order Total Variation Flow},
  booktitle = {Proc. Int. Conf. Sampling Theory and Applications},
  year = {2009},
  pages = {1--4},
  owner = {Carola},
  quality = {1},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/sampta09_1.pdf}
}
@inproceedings{Langer2009,
  author = {Langer, A. and Fornasier, M. and Sch\"onlieb, C.-B.},
  title = {Domain decomposition methods for compressed sensing},
  booktitle = {Proc. Int. Conf. Sampling Theory and Applications},
  year = {2009},
  pages = {1--4},
  owner = {Carola},
  quality = {1},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/sampta09.pdf}
}
@inproceedings{Schoenlieb2009b,
  author = {Sch\"onlieb, C.-B.},
  title = {Total variation minimization with an {$H^{-1}$} constraint},
  booktitle = {Singularities in Nonlinear Evolution Phenomena and Applications},
  journal = {CRM Series 9, Scuola Normale Superiore Pisa},
  year = {2009},
  pages = {201-232},
  owner = {Carola},
  quality = {1},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/higher_order_total_variation_minimization.pdf}
}
@inproceedings{Baatz2008,
  author = {Baatz, W. and Fornasier, M. and Markowich, P. and Sch\"onlieb, C.-B.},
  title = {Inpainting of Ancient Austrian Frescoes},
  booktitle = {Proceedings of Bridges},
  year = {2008},
  pages = {150-156},
  owner = {Carola},
  quality = {1},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/frescoinpaint.pdf}
}
@inproceedings{Schoenlieb2003a,
  author = {Sch\"onlieb, C.-B. and Wang, K. C.},
  title = {Feature Selection and Clustering in Arts Analysis},
  booktitle = {Proceedings Irish Machine Vision and Image Processing Conference},
  year = {2003},
  pages = {25-31},
  owner = {Carola},
  quality = {1}
}
@inproceedings{Gerl2003,
  author = {Gerl, P. and Sch\"onlieb, C.-B. and Wang, K. C.},
  title = {Automatisierte Analyse und Klassifikation von Zeichnungen und Gem\"alden},
  booktitle = {Konferenzband Electronic Imaging and the Visual Arts},
  year = {2003},
  pages = {123-126},
  owner = {Carola},
  quality = {1}
}
@inproceedings{Schoenlieb2003b,
  author = {Sch\"onlieb, C.-B. and Wang, K. C.},
  title = {Line Segmentation and Analysis With Special Interest to the Duct of a Line},
  booktitle = {Proceedings Fourth Indian Conference on Computer Vision, Graphics and Image Processing},
  year = {2004},
  pages = {550-555},
  owner = {Carola},
  quality = {1}
}
@phdthesis{Schoenlieb2009c,
  author = {Sch\"onlieb, C.-B.},
  title = {Modern PDE Techniques for Image Inpainting},
  school = {University of Cambridge},
  year = {2009},
  pages = {1--256},
  owner = {Carola},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/thesis.pdf}
}
@techreport{Schoenlieb2008,
  author = {Sch\"onlieb, C.-B.},
  title = {How Differential Equations can Make a Bungee Jumper Jump Without a Rope},
  year = {2008},
  type = {Tech.~Rep.},
  pages = {1--7},
  owner = {Carola},
  url = {http://www.damtp.cam.ac.uk/user/cbs31/Publications_files/article_inpainting.pdf}
}
@article{Schoenlieb2012,
  author = {Sch\"onlieb, C.-B.},
  title = {Applying Modern PDE Techniques to Digital Image Restoration},
  journal = {Matlab Digest Newsletters},
  year = {2012},
  pages = {1--5},
  owner = {Carola},
  url = {http://www.mathworks.co.uk/company/newsletters/articles/applying-modern-pde-techniques-to-digital-image-restoration.html}
}

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