Research Group of Prof. Dr. Martin Rumpf
Publications of this group
2024
2023
-
The variational approach to the flow of Sobolev-diffeomorphisms model. M. Guastini, M. Rajković, M. Rumpf, and B. Wirth. In L. Calatroni, M. Donatelli, S. Morigi, M. Prato, and M. Santacesaria, editors, Scale Space and Variational Methods in Computer Vision, 551–564. Cham, 2023. Springer International Publishing. BibTeX DOI PDF
-
Parametrizing Product Shape Manifolds by Composite Networks. J. Sassen, K. Hildebrandt, M. Rumpf, and B. Wirth. In International Conference on Learning Representations. 2023. BibTeX PDF arXiv OpenReview
2022
2021
-
Splines for image metamorphosis. J. Justiniano, M. Rajković, and M. Rumpf. In Scale Space and Variational Methods in Computer Vision, 463–475. 2021. BibTeX
-
Association of reading performance in geographic atrophy secondary to age-related macular degeneration with visual function and structural biomarkers. S. H. Künzel, M. Lindner, J. Sassen, P. T. Möller, L. Goerdt, M. Schmid, S. Schmitz-Valckenberg, F. G. Holz, M. Fleckenstein, and M. Pfau. JAMA Ophthalmology, 139(11):1191–1199, 2021. BibTeX DOI
2020
-
Splines in wasserstein spaces. J. Justiniano. Master's Thesis, University of Bonn, 2020. BibTeX
2019
-
Joint reconstruction and classification of tumor cells and cell interactions in melanoma tissue sections with synthesized training data. A. Effland, E. Kobler, A. Brandenburg, T. Klatzer, L. Neuhäuser, M. Hölzel, J. Landsberg, T. Pock, and M. Rumpf. International Journal of Computer Assisted Radiology and Surgery, 14(4):587–599, feb 2019. BibTeX DOI
-
Experimental and stochastic models of melanoma T-cell therapy define impact of subclone fitness on selection of antigen loss variants. N. Glodde, A. Kraut, D. van den Boorn-Konijnenberg, S. Vadder, F. Kreten, J. L. Schmid-Burgk, P. Aymans, K. Echelmeyer, M. Rumpf, J. Landsberg, T. Bald, T. Tüting, A. Bovier, and M. Hölzel. 2019. bioRxiv preprint. BibTeX bioRxiv
2018
-
Homogenization in magnetic-shape-memory polymer composites. S. Conti, M. Lenz, M. Pawelczyk, and M. Rumpf. In V. Schulz and D. Seck, editors, Shape Optimization, Homogenization and Optimal Control : DFG-AIMS workshop held at the AIMS Center Senegal, March 13-16, 2017, pages 1–17. Springer International Publishing, Cham, 2018. BibTeX DOI
-
Branching structures in elastic shape optimization. N. Lüthen, M. Rumpf, S. Tölkes, and O. Vantzos. In V. Schulz and D. Seck, editors, Shape Optimization, Homogenization and Optimal Control : DFG-AIMS workshop held at the AIMS Center Senegal, March 13-16, 2017, volume 169 of International Series of Numerical Mathematics, pages 213–225. Birkhäuser, Cham, 2018. BibTeX PDF DOI arXiv
-
Working memory capacity and the functional connectome - insights from resting-state fMRI and voxelwise eigenvector centrality mapping. S. Markett, M. Reuter, B. Heeren, B. Lachmann, B. Weber, and C. Montag. Brain Imaging and Behavior, 12(1):238–246, 2018. BibTeX
2017
2016
-
Numerical Methods in Shape Spaces and Optimal Branching Patterns. B. Heeren. PhD thesis, University of Bonn, 2016. BibTeX
-
Voxelwise eigenvector centrality mapping of the human functional connectome reveals an influence of the catechol-o-methyltransferase val158met polymorphism on the default mode and somatomotor network. S. Markett, C. Montag, B. Heeren, R. Sariyska, B. Lachmann, B. Weber, and M. Reuter. Brain Structure and Function, 221:2755–2765, 2016. BibTeX DOI
2015
-
Isogeometric Approximation of Variational Problems for Shells. R. Perl. PhD thesis, University of Bonn, 2015. BibTeX
2014
-
Two-stage stochastic optimization meets two-scale simulation. S. Conti, B. Geihe, M. Rumpf, and R. Schultz. In G. Leugering, P. Benner, S. Engell, A. Griewank, H. Harbrecht, M. Hinze, R. Rannacher, and S. Ulbrich, editors, Trends in PDE Constrained Optimization, volume 165 of International Series of Numerical Mathematics, pages 193–211. Springer International Publishing, 2014. BibTeX PDF DOI
2013
-
Discrete geodesic regression in shape space. B. Berkels, P. T. Fletcher, B. Heeren, M. Rumpf, and B. Wirth. In Proc. of International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition, volume 8081 of Lecture Notes in Computer Science, 108–122. Springer, 2013. BibTeX PDF DOI
-
Measuring surface atom bond length contraction in Au and Pt nanoparticles using high-precision STEM imaging. A. B. Yankovich, B. Berkels, W. Dahmen, R. C. Sharpley, P. Binev, and P. M. Voyles. In Microscopy and Microanalysis, volume 19 (Supplement 2), 1688–1689. Cambridge University Press, August 2013. BibTeX DOI
2012
-
On shape optimization with stochastic loadings. P. Atwal, S. Conti, B. Geihe, M. Pach, M. Rumpf, and R. Schultz. In G. Leugering, S. Engell, A. Griewank, M. Hinze, R. Rannacher, V. Schulz, M. Ulbrich, and S. Ulbrich, editors, Constrained Optimization and Optimal Control for Partial Differential Equations, volume 160 of International Series of Numerical Mathematics, chapter 2, pages 215–243. Springer, Basel, 2012. BibTeX PDF DOI
-
Marker-less reconstruction of dense 4-d surface motion fields using active laser triangulation from sparse measurements for respiratory motion management. S. Bauer, B. Berkels, S. Ettl, O. Arold, J. Hornegger, and M. Rumpf. In Medical Image Computing and Computer-Assisted Intervention (MICCAI), volume 7510 of Lecture Notes in Computer Science, 414–421. Springer, 2012. BibTeX PDF DOI
2011
-
Joint ToF image denoising and registration with a CT surface in radiation therapy. S. Bauer, B. Berkels, J. Hornegger, and M. Rumpf. In Third International Conference on Scale Space Methods and Variational Methods in Computer Vision, Lecture Notes in Computer Science, 98–109. Springer, 2011. BibTeX PDF DOI
-
Sulci detection in photos of the human cortex based on learned discriminative dictionaries. B. Berkels, M. Kotowski, M. Rumpf, and C. Schaller. In Third International Conference on Scale Space Methods and Variational Methods in Computer Vision, Lecture Notes in Computer Science, 326–337. Springer, 2011. BibTeX PDF DOI
-
Geodätische im Raum von Schalenformen. B. Heeren. diploma thesis, Institut für Numerische Simulation, Universität Bonn, 2011. BibTeX
2010
2009
-
An unconstrained multiphase thresholding approach for image segmentation. B. Berkels. In Proceedings of the Second International Conference on Scale Space Methods and Variational Methods in Computer Vision (SSVM 2009), volume 5567 of Lecture Notes in Computer Science, 26–37. Springer, 2009. BibTeX PDF DOI
-
Reconstructing optical flow fields by motion inpainting. B. Berkels, C. Kondermann, C. Garbe, and M. Rumpf. In 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition, volume 5681 of Lecture Notes in Computer Science, 388–400. Springer, 2009. BibTeX PDF DOI
2008
-
Mathematical Methods in Time Series Analysis and Digital Image Processing, chapter Inverse Problems and Parameter Identification in Image Processing, pages 111–151. J. F. Acker, B. Berkels, K. Bredies, M. S. Diallo, M. Droske, C. S. Garbe, M. Holschneider, J. Hron, C. Kondermann, M. Kulesh, P. Mass, N. Olischläger, H.-O. Peitgen, T. Preusser, M. Rumpf, K. Schaller, F. Scherbaum, and S. Turek. Understanding Complex Systems. Springer, 2008. BibTeX PDF DOI
2007
2006
2005
-
Accelerating double precision FEM simulations with GPUs. D. Göddeke, R. Strzodka, and S. Turek. In Proceedings of ASIM 2005 - 18th Syposium on Simulation Technique. Sep. 2005. BibTeX
-
An image processing approach to surface matching. N. Litke, M. Droske, M. Rumpf, and P. Schröder. In Proc. of Eurographics Symposium on Geometry Processing, 207–216. 2005. BibTeX
-
Analysis and numerics for conservation laws, chapter Multidimensional adaptive staggered grids, pages 479–493. S. Noelle, W. Rosenbaum, and M. Rumpf. Springer, Berlin, 2005. BibTeX
-
Graphics processor units: new prospects for parallel computing. M. Rumpf and R. Strzodka. In Numerical Solution of Partial Differential Equations on Parallel Computers, pages 89–132. Springer, 2005. BibTeX
2004
-
Towards a unified framework for scientific computing. P. Bastian, M. Droske, C. Engwer, R. Klöfkorn, T. Neubauer, M. Ohlberger, and M. Rumpf. In R. Kornhuber, R. Hoppe, J. Périaux, O. Pironneau, O. Widlund, and J. Xu, editors, 15th International Conference on Domain Decomposition Methods, Vol. 40, Lecture notes in Computational Science and Engineering. 2004. BibTeX PDF
-
Finite elements on point based surfaces. U. Clarenz, M. Rumpf, and A. Telea. In Eurographics Symposium of Point Based Graphics. 2004. BibTeX
-
Surface processing methods for point sets using finite elements. U. Clarenz, M. Rumpf, and A. Telea. Computers & Graphics, 28(6):851–868, 2004. BibTeX
-
On level set formulations for anisotropic mean curvature flow and surface diffusion. U. Clarenz, F. Haußer, M. Rumpf, A. Voigt, and U. Weikard. In A. Voigt, editor, Multiscale Modeling in Epitaxial Growth, volume 149 of International Series of Numerical Mathematics, 227–238. Birkhäuser, 2004. BibTeX PDF
-
Ein effizienter Löser für elastische Mikrostrukturen. F. Liehr. Diploma thesis, University Duisburg, 2004. BibTeX
-
Generalized distance transforms and skeletons in graphics hardware. R. Strzodka and A. Telea. In Proceedings of EG/IEEE TCVG Symposium on Visualization VisSym '04, 221–230. 2004. BibTeX
2003
-
A multiscale fairing method for textured surfaces. U. Clarenz, U. Diewald, and M. Rumpf. In H.-C. Hege and K. Polthier, editors, Visualization and Mathematics III, 245–260. Heidelberg, 2003. Springer-Verlag. BibTeX
-
Multiresolution visualization of higher order adaptive finite element simulations. B. Haasdonk, M. Ohlberger, M. Rumpf, A. Schmidt, and K. G. Siebert. Computing, 70(3):181–204, Jun 2003. BibTeX
-
A graphics hardware implementation of the generalized hough transform for fast object recognition, scale, and 3d pose detection. R. Strzodka, I. Ihrke, and M. Magnor. In International Conference on Image Analysis and Processing (ICIAP 2003), 188–193. 2003. BibTeX
2002
-
On space-time-adaptive convergent finite-element schemes for a general class of lubrication -type equations. J. Becker, G. Grün, and M. Rumpf. In World Congress on Computational Mechanics. 2002. BibTeX
-
A continuous skeletonization method based on level sets. M. Rumpf and A. Telea. In Eurographics/IEEE TCVG Symposium on Visualization, 151–157. 2002. BibTeX
2001
-
Diffusion models and their accelerated solution in computer vision applications. U. Diewald, T. Preußer, M. Rumpf, and R. Strzodka. Acta Mathematica Universitatis Comenianae (AMUC), 70(1):15–31, 2001. BibTeX
-
Simulation of singularities and instabilities arising in thin film flow. G. Grün and M. Rumpf. European Journal of Applied Mathematics, 12:293–320, 2001. BibTeX
-
Nonlinear diffusion in graphics hardware. M. Rumpf and R. Strzodka. In Eurographics/IEEE TCVG Symposium on Visualization, 75–84. 2001. BibTeX
2000
-
Asspects on data analysis and visualization for complex dynamical systems. J. Becker, D. Bürkle, R.-T. Happe, T. Preußer, M. Rumpf, M. Spielberg, and R. Strzodka. In B. Fiedler, editor, Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, chapter Aspects on Data Analysis and Visualization for Complex Dynamical Systems. Springer, 2000. BibTeX
-
The computation of an unstable invariant set inside a cylinder containing a knotted flow. M. Dellnitz, O. Junge, M. Rumpf, and R. Strzodka. In B. Fiedler, K. Gröger, and J. Sprekels, editors, Equadiff, 1015–1020. World Scientific, 2000. BibTeX
-
Error Indicators for Multilevel Visualization and Computing on Nested Grids. T. Gerstner, M. Rumpf, and U. Weikard. Computers & Graphics, 24(3):363–373, 2000. (shortened version in Data Visualization '99, E. Gröller, H. Löffelmann, W. Ribarsky (eds), pp. 199-211, Springer, 1999, also as SFB 256 report 24, Univ. Bonn, 1999). BibTeX PostScript PDF DOI
-
An adaptive staggered grid scheme for conservation laws. S. Noelle, W. Rosenbaum, and M. Rumpf. In H. Freistühler and G. Warnecke, editors, Hyperbolic Problems: Theory, Numerics, Applications. Eighth International Conference, volume 141 of International Series of Numerical Mathematics, 775–784. Basel, 2000. Birkhäuser. BibTeX PDF
1999
-
Entropy consistent finite volume schemes for the thin film equation. G. Grün and M. Rumpf. In D. H. R. Vilsmeier, F. Benkhaldoun, editor, Finite Volumes for Complex Applications II. Hermes Science Publications, Paris, 1999. BibTeX
-
Recent numerical methods – a challenge for data analysis and visualization. M. Rumpf. Future Generation Computer Systems, 15(1):43–58, 1999. BibTeX
1998
-
Interactive visualization of particle systems. A. Backes, A. Dahr, and M. Rumpf. In Computer Graphics International, 88–95. IEEE Computer Society, 1998. BibTeX
-
Visualization of time-dependent velocity fields by texture transport. J. Becker and M. Rumpf. In Eurographics Scientific Visualization Workshop '98. Springer, 1998. BibTeX
-
An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation. W. Dörfler and M. Rumpf. Mathematics of Computation, 67(224):1361–1382, 1998. BibTeX
-
Optimal searching on hierarchical grids based on local coordinates. M. Metscher and M. Rumpf. In GAMM Seminar on Concepts of Numerical Software. Vieweg, 1998. BibTeX
1997
-
Bernoulli's free boundary problem, qualitative theory and numerical approximation. M. Flucher and M. Rumpf. Journal für die reine und angewandte Mathematik, 486:165–204, 1997. BibTeX
-
Hierarchical and adaptive visualization on nested grids. M. Ohlberger and M. Rumpf. Computing, 59(4):365–385, 1997. BibTeX
-
The equilibrium state of an elastic solid in an incompressible fluid flow. M. Rumpf. In J. G. Heywood and others, editors, Theory of the Navier-Stokes Equations, volume 47. World Scientific Publisher, 1997. BibTeX
1996
-
Characterizing global features of simulation data by selected local icons. R. T. Happe and M. Rumpf. In Eurographics Workshop on Virtual environments and scientific visualization '96, 234–242. Springer, 1996. BibTeX
-
A variational approach to optimal meshes. M. Rumpf. Numerische Mathematik, 72(4):523–540, 1996. BibTeX
1995
-
Asynchronous local mesh adaption for domain decomposition methods. R. Kleinrensing and M. Rumpf. Technical Report Preprint 5, Mathematische Fakultät, Freiburg, 1995. BibTeX
-
On a unified visualization approach for data from advanced numerical methods. M. Rumpf, A. Schmidt, and K. Siebert. In R. Scateni, J. Van Wijk, and P. Zanarini, editors, Visualization in Scientific Computing, 35–44. Springer, 1995. BibTeX
-
Visualization of parallel data based on procedural access. M. Rumpf and B. Schupp. In Visualization and Mathematics, 197–ff. Springer, 1995. BibTeX
1994
-
Adapting meshes by deformation, numerical examples and applications. M. Rumpf. In GAMM Seminar on Fast Solvers for Flow Problems. Vieweg, 1994. BibTeX
-
Visualization concepts for adaptive nonstationary flow. M. Rumpf and M. Wierse. In DFG Workshop on Visualisierung in Paderborn. World Scientific Publisher, 1994. BibTeX
1993
-
Visualization of finite elements and tools for numerical analysis. M. Geiben and M. Rumpf. In F. Post and A. H. Hin, editors, Advances in Scientific Visualization, pages 1–23. Springer, 1993. BibTeX
1992
-
Growth in apical meristems of plants, visualization tools and growth tensor methods. J. Nakielski and M. Rumpf. Technical Report 11, SFB 256, Bonn, 1992. BibTeX
-
GRAPE, Eine interaktive Umgebung für Visualisierung und Numerik. M. Rumpf and A. Wierse. Informatik, Forschung und Entwicklung, 7:145–151, 1992. BibTeX
1991
-
WYSIWYO in differential geometry (what you see is where you operate). K. Polthier and M. Rumpf. In Eurographics Workshop on Computer Graphics and Mathematics, Genua. 1991. BibTeX