Publications
Preprints
[1] 
B. Schmitzer, K.P. Schäfers, B. Wirth. Dynamic Cell Imaging in PET with Optimal Transport Regularization.
2019.
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[2] 
B. Wirth. Green's function for Poisson's equation and the EEG equation with Neumann boundary condition on nballs.
2019.
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[3] 
A. Marchese, B. Wirth. Approximation of rectifiable 1currents and weakâ relaxation of the hmass.
2018.
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[4] 
P. Dondl, M. Novaga, B. Wirth, S. Wojtowytsch. Approximation of the relaxed perimeter functional under a connectedness constraint by phasefields.
2018.
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[5] 
B. Wirth. Phase field models for twodimensional branched transportation problems.
2018.
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[6] 
L. Ferrari, C. Rossmanith, B. Wirth. Phase field approximations of branched transportation problems.
2018.
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[7] 
D. Bourne, B. Schmitzer, B. Wirth. Semidiscrete unbalanced optimal transport and quantization.
2018.
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Peerreviewed
[1] 
A. Brancolini, B. Wirth. General transport problems with branched minimizers as functionals of 1currents with prescribed boundary.
Accepted at Calculus of Variations and PDEs, 2018.
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[2] 
B. Schmitzer, B. Wirth. A Framework for Wasserstein1Type Metrics.
Accepted at Journal of Convex Analysis, 2018.
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[3] 
B. Schmitzer, B. Wirth. Dynamic Models of Wasserstein1Type Unbalanced Transport.
Accepted at ESAIM: Control, Optimisation and Calculus of Variations, 2018.
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[4] 
C. Clason, C. Tameling, B. Wirth. Vectorvalued multibang control of differential equations.
Accepted at SIAM Journal on Control and Optimization, 2018.
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[5] 
B. Heeren, M. Rumpf, B. Wirth. Variational time discretization of Riemannian splines.
Accepted at IMA Journal of Numerical Analysis, 2018.
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[6] 
C. Bauer, C. Clason, D. Lorenz, B. Wirth. A SinkhornNewton method for entropic optimal transport.
Accepted at Neural Information Processing Systems Conference, 2017.
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[7] 
A. Brancolini, C. Rossmanith, B. Wirth. Optimal micropatterns in 2D transport networks and their relation to image inpainting.
Archive for Rational Mechanics and Analysis, 228(1):279308, 2018.
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[8] 
B. Berkels, B. Wirth. Joint denoising and distortion correction of atomic scale scanning transmission electron microscopy images.
Inverse Problems, 33(9):095002, 2017.
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[9] 
A. Brancolini, B. Wirth. Optimal energy scaling for micropatterns in transport networks.
SIAM Journal on Mathematical Analysis, 49(1):311359, 2016.
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[10] 
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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[11] 
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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[12] 
A. Brancolini, B. Wirth. Equivalent formulations for the branched transport and urban planning problems.
Journal de Mathématiques Pures et Appliquées, 106(4):695724, 2016.
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[13] 
P.A. Absil, P.Y. Gousenbourger, P. Striewski, B. Wirth. Differentiable piecewiseBezier interpolation on Riemannian manifolds.
Proceedings of the European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning (ESANN) 2016, 95100, 2016.
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[14] 
J. Lu, B. Wirth, H. Yang. Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis.
Journal of the Mechanics and Physics of Solids, 89:194210, 2016.
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[15] 
B. Heeren, M. Rumpf, P. Schröder, M. Wardetzky, B. Wirth. Splines in the space of shells.
Computer Graphics Forum, 35(5):111120, 2016.
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[16] 
R. V. Kohn, 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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[17] 
A. Effland, M. Rumpf, S. Simon, K. Stahn, 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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[18] 
K. Bredies, T. Pock, 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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[19] 
M. Rumpf, B. Wirth. Variational time discretization of geodesic calculus.
IMA Journal of Numerical Analysis, 35(3):10111046, 2015.
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[20] 
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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[21] 
M. Elsey, 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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[22] 
B. Heeren, M. Rumpf, P. Schröder, M. Wardetzky, B. Wirth. Exploring the geometry of the space of shells.
Computer Graphics Forum, 33(5):247256, 2014.
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[23] 
M. Elsey, 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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[24] 
B. Wirth, I. Sobey, A. Eisenträger. Conditions for choking in a poroelastic flow model.
IMA Journal of Applied Mathematics, 79(2):254273, 2014.
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[25] 
M. Rumpf, 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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[26] 
B. Berkels, T. Fletcher, B. Heeren, M. Rumpf, B. Wirth. Discrete geodesic regression in shape space.
9th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR'13), Lecture Notes in Computer Science, 8081:108123, 2013.
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[27] 
M. Elsey, B. Wirth. A simple and efficient scheme for phase field crystal simulation.
ESAIM: M2AN, 47(5):14131432, 2013.
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[28] 
M. Elsey, 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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[29] 
K. Bredies, T. Pock, 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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[30] 
M. Franken, M. Rumpf, 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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[31] 
B. Heeren, M. Rumpf, M. Wardetzky, 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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[32] 
W. Ring, 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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[33] 
P. Penzler, M. Rumpf, B. Wirth. A phasefield model for compliance shape optimization in nonlinear elasticity.
ESAIM: COCV, 18(1):229258, 2012.
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[34] 
I. Sobey, A. Eisenträger, B. Wirth, 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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[35] 
B. Wirth, J. Gerhard, W. Marquardt. Stabilitypreserving optimization in presence of fast disturbances.
IEEE Transactions on Automatic Control, 56(11):26832687, 2011.
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[36] 
B. Wirth, J. Gerhard, 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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[37] 
M. Rumpf, B. Wirth. Variational methods in shape analysis.
In Handbook of Mathematical Methods in Imaging, Springer, 13631401, 2011.
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[38] 
B. Wirth, L. Bar, M. Rumpf, G. Sapiro. A continuum mechanical approach to geodesics in shape space.
International Journal of Computer Vision, 93(3):293318, 2011.
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[39] 
M. Rumpf, B. Wirth. An elasticitybased covariance analysis of shapes.
International Journal of Computer Vision, 92(3):281295, 2011.
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[40] 
I. Sobey, A. Eisenträger, B. Wirth, 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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[41] 
B. Wirth, L. Bar, M. Rumpf, 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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[42] 
M. Rumpf, 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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[43] 
M. Rumpf, B. Wirth. A nonlinear elastic shape averaging approach.
SIAM Journal on Imaging Sciences, 2(3):800833, 2009.
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[44] 
B. Wirth, 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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[45] 
B. Wirth, I. Sobey. A model for an inverse power constitutive law for cerebral compliance.
Mathematical Medicine and Biology, 25:113131, 2008.
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[46] 
B. Wirth, 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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[47] 
I. Sobey, B. Wirth. Effect of nonlinear permeability in a spherical model of hydrocephalus.
Mathematical Medicine and Biology, 23:339361, 2006.
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Interdisciplinary articles
[1] 
B. Wirth, M. Warnecke, B. Schmenk, G. Seide, T. Gries. Filament breaches during airgap spinning (Filamentbrucharten beim AirGapSpinnverfahren).
Chemical Fibers International, 61:3839, 2011 (Melliand Textilberichte, 91:226, 2010). 
[2] 
K. Buscher, H. Wang, X. Zhang, P. Striewski, B. Wirth, G. Saggu, S. LütkeEnking, T. N. Mayadas, K. Ley, L. Sorokin, J. Song. Protection from septic peritonitis by rapid neutrophil recruitment through omental high endothelial venules.
Nature Communications, 7:10828, 2016. 
[3] 
J. Song, K. Buscher, Y. Wang, H. Wang, L. Li, J. Di Russo, X. Zhang, S. LütkeEnking, A. Zarbock, P. Striewski, B. Wirth, I. Kuzmanov, H. Wiendl, L. Sorokin. Endothelial Basement Membrane Laminin 511 Contributes to Endothelial Junctional Tightness and thereby Inhibits Leukocyte Transmigration.
Cell Reports, 18(5):12561269, 2017. 
[4] 
C. Zhang, B. Berkels, B. Wirth, P.M. Voyles. Joint Denoising and Distortion Correction for Atomic Column Detection in Scanning Transmission Electron Microscopy Images.
Microscopy and Microanalysis, 23(S1):164165, 2017. 
Technical Reports
[1] 
B. Wirth. The inverse problem of finding a phase field energy for 2D branched transport and other functionals of normal currents.
Oberwolfach Reports, 1831:3538, 2018.
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[2] 
B. Wirth. The existence problem of cubic spline interpolation on Riemannian manifolds.
Oberwolfach Reports, 1817:3538, 2018.
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[3] 
B. Wirth. Unbalanced optimial transport and quantization.
Oberwolfach Reports, 1809:3537, 2018.
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[4] 
B. Wirth. Models for transport networks and their relation to inpainting.
Oberwolfach Reports, 1704:329331, 2017.
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[5] 
B. Wirth. Data fitting tools in Riemannian spaces.
Dagstuhl Reports, 7(1):17021.16, 2017.
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[6] 
B. Wirth. How to discretize elastic curves in infinitedimensional shape spaces?
Oberwolfach Reports, 1604:197199, 2016.
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[7] 
B. Wirth. Optimal finescale structure in elastic shape optimization.
Oberwolfach Reports, 1313:941943, 2013.
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[8] 
B. Wirth. On the sharp interface limit of joint AmbrosioTortorelli segmentation and phasefield matching.
Oberwolfach Reports, 1105:4548, 2011.
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[9] 
C. Matzke, B. Wirth. Product pricing when demand follows a rule of thumb.
Bonn Econ Discussion Papers, 2009.
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[10] 
C. Matzke, 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, 2008.
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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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Other
[1] 
B. Wirth. Statement zu Perspektiven für junge Wissenschaftlerinnen und Wissenschaftler.
Forschung und Lehre 15(5):357, 2015.
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[2] 
C. Böhm, B. Wirth. Mathematik Münster: Dynamik, Geometrie, Struktur. Beispiele einer geometrischen Sichtweise.
Mitteilungen der Deutschen MathematikerVereinigung 26(4):197200, 2018.
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