
Publications
Peerreviewed
[1] 
A. Brancolini, B. Wirth. Optimal micropatterns in transport networks.
Accepted at SIAM Journal on Mathematical Analysis, 2016.
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[2] 
B. Wirth. On the Γlimit of joint image segmentation and registration functionals based on phase fields.
EMS Interfaces and Free Boundaries 18(4):441477, 2016.
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[3] 
P.A. Absil, P.Y. Gousenbourger, P. Striewski, B. Wirth. Differentiable piecewiseBezier surfaces on Riemannian manifolds.
SIAM Journal on Imaging Sciences, 9(4):17881828, 2016.
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[4] 
A. Brancolini, B. Wirth. Equivalent formulations for the branched transport and urban planning problems.
Accepted at Journal de Mathématiques Pures et Appliquées, 2016.
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[5] 
P.A. Absil, P.Y. Gousenbourger, P. Striewski, B. Wirth. Differentiable piecewiseBezier interpolation on Riemannian manifolds.
Accepted at European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN), 2016.
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[6] 
J. Lu, B. Wirth, and H. Yang. Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis.
Accepted at Journal of the Mechanics and Physics of Solids, 2016.
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[7] 
B. Heeren, M. Rumpf, P. Schröder, M. Wardetzky, and B. Wirth. Splines in the space of shells.
Computer Graphics Forum, 35(5), 2016 (to appear).
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[8] 
R. V. Kohn and B. Wirth. Optimal finescale structures in compliance minimization for a shear load.
Communications in Pure and Applied Mathematics, 69:15721610, 2016.
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[9] 
A. Effland, M. Rumpf, S. Simon, K. Stahn, and B. Wirth. Bezier curves in the space of images.
Proceedings of the Fifth International Conference on Scale Space Methods and Variational Methods in Computer Vision (SSVM 2015), Lecture Notes in Computer Science, 9087:372384, 2015.
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[10] 
K. Bredies, T. Pock, and B. Wirth. A convex, lower semicontinuous approximation of Euler's elastica energy.
SIAM Journal on Mathematical Analysis 47(1):566613, 2015.
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[11] 
M. Rumpf and B. Wirth. Variational time discretization of geodesic calculus.
IMA Journal of Numerical Analysis, 35(3):10111046, 2015.
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[12] 
R. V. Kohn and B. Wirth. Optimal finescale structures in compliance minimization for a uniaxial load.
Proceedings of the Royal Society A 470(2170):2014043220140448, 2014.
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[13] 
M. Elsey and B. Wirth. Redistancing dynamics for vectorvalued multilabel segmentation with costly fidelity: grain identification in polycrystal images.
Journal of Scientific Computing, 63(1):279306, 2014.
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[14] 
B. Heeren, M. Rumpf, P. Schröder, M. Wardetzky, and B. Wirth. Exploring the geometry of the space of shells.
Computer Graphics Forum, 33(5):247256, 2014.
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[15] 
M. Elsey and B. Wirth. Fast automated detection of crystal distortion and crystal defects in polycrystal images.
SIAM Multiscale Modeling and Simulation, 12(1):124, 2014.
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[16] 
B. Wirth, I. Sobey, and A. Eisenträger. Conditions for choking in a poroelastic flow model.
IMA Journal of Applied Mathematics, 79(2):254273, 2014.
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[17] 
M. Rumpf and B. Wirth. Discrete geodesic calculus in the space of viscous fluidic objects.
SIAM Journal on Imaging Sciences 6(4):25812602, 2013.
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[18] 
B. Berkels, T. Fletcher, B. Heeren, M. Rumpf, and B. Wirth. Discrete geodesic regression in shape space.
9th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR'13), 2013.
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[19] 
M. Elsey and B. Wirth. A simple and efficient scheme for phase field crystal simulation.
ESAIM: M2AN, 47(5):14131432, 2013.
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[20] 
M. Elsey and B. Wirth. Segmentation of Crystal Defects via Local Analysis of Crystal Distortion.
Proceedings of the 8'th International Conference on Computer Vision Theory and Applications (VISAPP'13), 2013.
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[21] 
K. Bredies, T. Pock, and B. Wirth. Convex relaxation of a class of vertex penalizing functionals.
Journal of Mathematical Imaging and Vision, 47(3):278302, 2013.
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[22] 
M. Franken, M. Rumpf, and B. Wirth. A phase field based pde constrained optimization approach to time discrete Willmore flow.
International Journal of Numerical Analysis and Modelling, 10(1):116138, 2013.
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[23] 
B. Heeren, M. Rumpf, M. Wardetzky, and B. Wirth. TimeDiscrete Geodesics in the Space of Shells.
Proceedings of Eurographics Symposium on Geometry Processing; Computer Graphics Forum, 31(5):17551764, 2012.
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[24] 
W. Ring and B. Wirth. Optimization methods on Riemannian manifolds and their application to shape space.
SIAM Journal on Optimization, 22(2):596627, 2012.
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[25] 
P. Penzler, M. Rumpf, and B. Wirth. A phasefield model for compliance shape optimization in nonlinear elasticity.
ESAIM: COCV, 18(1):229258, 2012.
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[26] 
I. Sobey, A. Eisenträger, B. Wirth and M. Czosnyka. Simulation of cerebral infusion tests using a poroelastic model.
International Journal of Numerical Analysis and Modeling Series B, 3(1):5264, 2012.
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[27] 
B. Wirth, J. Gerhard, and W. Marquardt. Stabilitypreserving optimization in presence of fast disturbances.
IEEE Transactions on Automatic Control, 56(11):26832687, 2011.
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[28] 
B. Wirth, J. Gerhard, and W. Marquardt. Robust optimisation with normal vectors on critical manifolds of transient stability loss.
Journal of Nonlinear Science, 21:5792, 2011.
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[29] 
M. Rumpf and B. Wirth. Variational methods in shape analysis.
In Handbook of Mathematical Methods in Imaging, Springer, 13631401, 2011.
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[30] 
B. Wirth, L. Bar, M. Rumpf, and G. Sapiro. A continuum mechanical approach to geodesics in shape space.
International Journal of Computer Vision, 93(3):293318, 2011.
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[31] 
M. Rumpf and B. Wirth. An elasticitybased covariance analysis of shapes.
International Journal of Computer Vision, 92(3):281295, 2011.
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[32] 
I. Sobey, A. Eisenträger, B. Wirth, and M. Czosnyka. Multifluid poroelastic modelling of the CSF infusion test.
In C.T. Lim and J.C.H. Goh, editors, 6th World Congress of Biomechanics (WCB 2010), IFMBE Proceedings, Springer, 31:362365, 2010.
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[33] 
B. Wirth, L. Bar, M. Rumpf, and G. Sapiro. Geodesics in shape space via variational time discretization.
Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR'09), Lecture Notes in Computer Science, 5681:288302, 2009.
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[34] 
M. Rumpf and B. Wirth. An elasticity approach to principal modes of shape variation.
Proceedings of the Second International Conference on Scale Space Methods and Variational Methods in Computer Vision (SSVM 2009), Lecture Notes in Computer Science, 5567:709720, 2009.
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[35] 
M. Rumpf and B. Wirth. A nonlinear elastic shape averaging approach.
SIAM Journal on Imaging Sciences, 2(3):800833, 2009.
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[36] 
B. Wirth and I. Sobey. Analytic solution of the linear unsteady poroelastic equations in a spherically symmetric brain during an infusion test.
Mathematical Medicine and Biology, 26:2561, 2009.
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[37] 
B. Wirth and I. Sobey. A model for an inverse power constitutive law for cerebral compliance.
Mathematical Medicine and Biology, 25:113131, 2008.
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[38] 
B. Wirth and I. Sobey. An axisymmetric and fully 3D poroelastic model for the onset and treatment of hydrocephalus.
Mathematical Medicine and Biology, 23:363388, 2006.
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[39] 
I. Sobey and B. Wirth. Effect of nonlinear permeability in a spherical model of hydrocephalus.
Mathematical Medicine and Biology, 23:339361, 2006.
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Preprints
[1] 
B. Schmitzer, B. Wirth. A Framework for Wasserstein1Type Metrics.
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[2] 
C. Clason, C. Tameling, B. Wirth. Vectorvalued multibang control of differential equations.
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[3] 
B. Berkels, B. Wirth. Joint denoising and distortion correction of atomic scale scanning transmission electron microscopy images.
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[4] 
A. Brancolini, C. Rossmanith, B. Wirth. Optimal micropatterns in 2D transport networks and their relation to image inpainting.
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[5] 
C. Matzke and B. Wirth. Product pricing when demand follows a rule of thumb.
Bonn Econ Discussion Papers.
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[6] 
C. Matzke and B. Wirth. A nonstandard approach to a market with boundedly rational consumers and strategic firms. Part I: A microfoundation for the evolution of sales.
Bonn Econ Discussion Papers.
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Theses
[1] 
B. Wirth. Variational methods in shape space.
Dissertation, Bonn University, 2009.
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[2] 
B. Wirth. Robust optimisation with normal vectors on critical manifolds of transient stability loss.
Diploma thesis, RWTH Aachen, 2007. 
[3] 
B. Wirth. A mathematical model for hydrocephalus.
Master's thesis, University of Oxford, 2005.
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