maximize

 

I have moved to the Courant Institute at New York University. My new homepage is http://www.cims.nyu.edu/~wirth.

 

Dr. Benedikt Wirth

Address: Institut für Numerische Simulation
Endenicher Allee 60
D-53115 Bonn
Room:Z2.064
Phone: +49 (0)228 73-2717
Fax:+49 (0)228 73-9015
eMail:

 

 

Interests

My main interest lies in the development and examination of physics-based models for applications ranging from medicine and biology up to imaging and computer vision. I am particularly intrigued by models involving nonlinear elasticity in combination with free discontinuities, which can for example be employed in classical image registration, shape space analysis, and shape or compliance optimization. Such models offer a broad scope for a rigorous mathematical analysis and at the same time allow numerical simulations for realistic problems. I am also more generally interested in the calculus of variations, phase field and total variation methods, as well as numerical schemes for geometric evolution problems and their numerical analysis.

 

Publications

 
[1] M. Rumpf and B. Wirth. Discrete geodesic calculus in the space of viscous fluidic objects. SIAM Journal on Imaging Sciences (to appear), 2014. [ bib | arXiv | .pdf | Abstract ]
[2] B. Berkels, T. Fletcher, B. Heeren, M. Rumpf, and B. Wirth. Discrete geodesic regression in shape space. In 9th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition, volume 8081 of Lecture Notes in Computer Science, pages 108-122. Springer, 2013. [ bib | DOI | .pdf ]
[3] M. Franken, M. Rumpf, and B. Wirth. A phase field based PDE constraint optimization approach to time discrete Willmore flow. International Journal of Numerical Analysis and Modeling, 10(1):116-138, 2013. [ bib | .pdf ]
[4] B. Heeren, M. Rumpf, M. Wardetzky, and B. Wirth. Time-discrete geodesics in the space of shells. Computer Graphics Forum, 31(5):1755-1764, 2012. [ bib | DOI | .pdf ]
[5] P. Penzler, M. Rumpf, and B. Wirth. A phase-field model for compliance shape optimization in nonlinear elasticity. ESAIM: Control, Optimisation and Calculus of Variations, 18(1):229-258, 2012. [ bib | DOI | .pdf ]
[6] M. Rumpf and B. Wirth. Variational methods in shape analysis. In O. Scherzer, editor, Handbook of Mathematical Methods in Imaging, pages 1363-1401. Springer, 2011. [ bib | DOI | .pdf ]
[7] M. Rumpf and B. Wirth. An elasticity-based covariance analysis of shapes. International Journal of Computer Vision, 92(3):281-295, 2011. [ bib | DOI | .pdf ]
[8] 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):293-318, 2011. [ bib | DOI | .pdf ]
[9] M. Rumpf and B. Wirth. A nonlinear elastic shape averaging approach. SIAM Journal on Imaging Sciences, 2(3):800-833, 2009. [ bib | DOI | .pdf | Abstract ]
[10] M. Rumpf and B. Wirth. An elasticity approach to principal modes of shape variation. In Second International Conference on Scale Space Methods and Variational Methods in Computer Vision, volume 5567 of Lecture Notes in Computer Science, pages 709-720, 2009. [ bib | .pdf ]
[11] B. Wirth. Variational methods in shape space. Dissertation, University Bonn, 2009. [ bib | http ]
[12] B. Wirth, L. Bar, M. Rumpf, and G. Sapiro. Geodesics in shape space via variational time discretization. In 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition, volume 5681 of Lecture Notes in Computer Science, pages 288-302, 2009. [ bib | DOI | .pdf ]
[10]I. Sobey and B. Wirth. Effect of nonlinear permeability in a spherical model of hydrocephalus. Mathematical Medicine and Biology, 23:339-361, 2006. [.pdf]
[11]B. Wirth and I. Sobey. An axisymmetric and fully 3D poroelastic model for the onset and treatment of hydrocephalus. Mathematical Medicine and Biology, 23:363-388, 2006. [.pdf]
[12]B. Wirth and I. Sobey. A model for an inverse power constitutive law for cerebral compliance. Mathematical Medicine and Biology, 25:113-131, 2008. [.pdf]
[13]C. Matzke and B. Wirth. A non-standard 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. [.pdf]
[14]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, 26:25-61, 2009. [.pdf]
[15]C. Matzke and B. Wirth. Product pricing when demand follows a rule of thumb. Bonn Econ Discussion Papers, 2009. [.pdf]
[16]B. Wirth and J. Gerhard and W. Marquardt. Robust optimisation with normal vectors on critical manifolds of transient stability loss. Journal of Nonlinear Science, 21:57-92, 2011. [.pdf]
[17]B. Wirth and J. Gerhard and W. Marquardt. Stability-preserving optimization in presence of fast disturbances. submitted , 2010. [.pdf]
[18]B. Wirth, I. Sobey, and A. Eisenträger. A note on existence of solutions to a poroelastic problem. Technical Report, NA ComLab, Oxford, 2010. [.pdf]