maximize

Prof. Dr. Martin Rumpf

 

Address: Institut für Numerische Simulation
Endenicher Allee 60
D-53115 Bonn
Room: 2.035
Phone: +49 (0)228 73-7866
Fax:+49 (0)228 73-9015
Secretary: Frau Sodoge-Stork -2719
eMail:

 

Working group Numerical Simulation in Engineering and Geosciences

 

Homepage of Institute for Numerical Simulation
Homepage of University

 

Publications

Articles in Journals

[1] B. Wirth, L. Bar, M. Rumpf, and G. Sapiro. A continuum mechanical approach to geodesics in shape space. submitted to IJCV, 2010. [ bib | .pdf ]
[2] U. Wolfram, L. O. Schwen, U. Simon, M. Rumpf, and H.-J. Wilke. Statistical osteoporosis models using composite finite elements: A parameter study. Journal of Biomechanics, 42(13):2205-2209, September 2009. [ bib | DOI | .pdf | Abstract ]
[3] F. Liehr, T. Preusser, M. Rumpf, S. Sauter, and L. O. Schwen. Composite finite elements for 3D image based computing. Computing and Visualization in Science, 12(4):171-188, April 2009. [ bib | DOI | .pdf | Abstract ]
[4] B. Berkels, G. Linkmann, and M. Rumpf. An SL(2) invariant shape median. 2009. submitted. [ bib | .pdf ]
[5] S. Conti, H. Held, M. Pach, M. Rumpf, and R. Schultz. Risk averse shape optimization. Siam Journal on Control and Optimization, 2009. submitted. [ bib | .pdf | Abstract ]
[6] M. Droske, W. Ring, and M. Rumpf. Mumford-Shah based registration: a comparison of a level set and a phase field approach. Computing and Visualization in Science, 12:101-114, 2009. [ bib | DOI | .pdf ]
[7] M. Rumpf. Variational methods in image matching and motion extraction in level set and pde based reconstruction methods: Applications to inverse problems and image processing. 2009. [ bib | .pdf ]
[8] M. Rumpf and B. Wirth. A nonlinear elastic shape averaging approach. SIAM Journal on Imaging Sciences, 2(3):800-833, 2009. [ bib | .pdf | Abstract ]
[9] M. Rumpf and B. Wirth. An elasticity-based covariance analysis of shapes. International Journal of Computer Vision, 2009. submitted. [ bib ]
[10] B. Berkels, A. Rätz, M. Rumpf, and A. Voigt. Extracting grain boundaries and macroscopic deformations from images on atomic scale. Journal of Scientific Computing, 35(1):1-23, 2008. [ bib | DOI | .pdf ]
[11] S. Conti, H. Held, M. Pach, M. Rumpf, and R. Schultz. Shape optimization under uncertainty - a stochastic programming perspective. SIAM Journal on Optimization, 19(4):1610-1632, 2008. [ bib | DOI | .pdf ]
[12] O. Nemitz, M. B. Nielsen, M. Rumpf, and R. Whitaker. Finite element methods on very large, dynamic tubular grid encoded implicit surfaces. SIAM Journal on Scientific Computing, 2008. accepted. [ bib | .pdf | Abstract ]
[13] S. Conti, M. Lenz, and M. Rumpf. Modeling and simulation of magnetic shape-memory polymer composites. Journal of Mechanics and Physics of Solids, 55:1462-1486, 2007. [ bib | DOI | .pdf | Abstract ]
[14] M. Droske and M. Rumpf. Multi scale joint segmentation and registration of image morphology. IEEE Transaction on Pattern Recognition and Machine Intelligence, 29(12):2181-2194, 2007. [ bib | .pdf ]
[15] M. Droske, C. Garbe, T. Preußer, M. Rumpf, and A. Telea. A phase field method for joint denoising, edge detection and motion estimation. SIAM Journal on Applied Mathematics, 68(3):599-618, 2007. [ bib | DOI | http | .pdf ]
[16] J. Han, B. Berkels, M. Droske, J. Hornegger, M. Rumpf, C. Schaller, J. Scorzin, and H. Urbach. Mumford-Shah model for one-to-one edge matching. IEEE Transactions on Image Processing, 16(11):2720-2732, 2007. [ bib | DOI | http | .pdf ]
[17] O. Nemitz, M. Rumpf, T. Tasdizen, and R. Whitaker. Anisotropic curvature motion for structure enhancing smoothing of 3D MR angiography data. Journal of Mathematical Imaging and Vision, 27(3):217-229, 2007. [ bib | DOI | .pdf | Abstract ]
[18] S. Noelle, W. Rosenbaum, and M. Rumpf. 3d adaptive central schemes: part i. algorithms for assembling the dual mesh. Applied Numerical Mathematics, 56(6):778-799, 2006. [ bib | .pdf ]
[19] M. Droske, M. Meyer, M. Rumpf, and C. Schaller. An adaptive level set method for interactive segmentation of intracranial tumors. Neurosurgical Research, 27,Nr. 4:363-370, 2005. [ bib | .pdf ]
[20] U. Clarenz, U. Diewald, G. Dziuk, M. Rumpf, and R. Rusu. A finite element method for surface restoration with smooth boundary conditions. Computer Aided Geometric Design, 21(5):427-445, 2004. [ bib | .pdf | Abstract ]
[21] U. Clarenz, U. Diewald, and M. Rumpf. Processing textured surfaces via anisotropic geometric diffusion. IEEE Transactions on Image Processing, 13(2):248-261, 2004. [ bib | .pdf | Abstract ]
[22] U. Clarenz, M. Griebel, M. Rumpf, A. Schweitzer, and A. Telea. A feature sensitive multiscale editing tool on surfaces. Visual Computer, 29(5):329-343, 2004. [ bib | .pdf | Abstract ]
[23] U. Clarenz, N. Litke, and M. Rumpf. Axioms and variational problems in surface parameterization. Computer Aided Geometric Design, 21(8):727-749, 2004. [ bib | .pdf | Abstract ]
[24] U. Clarenz, M. Rumpf, and A. Telea. Robust feature detection and local classification for surfaces based on moment analysis. IEEE Transactions on Visualization and Computer Graphics, 10(5):516-524, 2004. [ bib | .pdf | Abstract ]
[25] U. Clarenz, M. Rumpf, and A. Telea. Surface processing methods for point sets using finite elements. Computer and Graphics, 28(6):851-868, 2004. [ bib ]
[26] M. Droske and M. Rumpf. A variational approach to non-rigid morphological registration. SIAM Journal on Applied Mathematics, 64(2):668-687, 2004. [ bib | .pdf | Abstract ]
[27] M. Droske and M. Rumpf. A level set formulation for Willmore flow. Interfaces and Free Boundaries, 6(3):361-378, 2004. [ bib | .pdf | Abstract ]
[28] M. Hesse, M. Rumpf, and K.-T. Sturm. Discretization and convergence for harmonic maps into trees. Calculus of Variations, 21:113-136, 2004. [ bib | .pdf | Abstract ]
[29] S. Noelle, W. Rosenbaum, and M. Rumpf. Structured adaptive staggered grids in 3d. Applied Numerical Mathematics, 2004. submitted. [ bib | .pdf | Abstract ]
[30] R. Strzodka, M. Droske, and M. Rumpf. Image registration by a regularized gradient flow - a streaming implementation in DX9 graphics hardware. Computing, 73(4):373-389, 2004. [ bib | .pdf | Abstract ]
[31] H. Garcke, B. Niethammer, M. Rumpf, and U. Weikard. Transient coarsening behaviour in the Cahn-Hilliard model. Acta Materialia, 51(10):2823-2830, 2003. [ bib | .pdf | Abstract ]
[32] B. Haasdonk, M. Ohlberger, M. Rumpf, A. Schmidt, and G. Siebert, K. Multiresolution visualization of higher order adaptive finite element simulations. Computing, 3:181-204, 2003. [ bib ]
[33] K. Mikula, T. Preußer, and M. Rumpf. Morphological image sequence processing. Computing and Visualization in Science, 6(4):197-209, 2003. [ bib | .pdf | Abstract ]
[34] R. Strzodka, M. Droske, and M. Rumpf. Fast image registration in DX9 graphics hardware. Journal of Medical Informatics and Technologies, 6:43-49, Nov 2003. [ bib | .pdf | Abstract ]
[35] J. Becker, G. Grün, M. Lenz, and M. Rumpf. Numerical methods for fourth order nonlinear degenerate diffusion problems. Applications of Mathematics, 47(6):517-543, 2002. [ bib | DOI | http | Abstract ]
[36] U. Diewald, S. Morigi, and M. Rumpf. A cascadic geometric filtering approach to subdivision. Computer Aided Geometric Design, 19:675-694, 2002. [ bib | .pdf | Abstract ]
[37] T. Preußer and M. Rumpf. A level set method for anisotropic geometric diffusion in 3D image processing. SIAM Journal on Applied Mathematics, 62(5):1772-1793, 2002. [ bib | .pdf | Abstract ]
[38] U. Diewald, T. Preußer, M. Rumpf, and R. Strzodka. Diffusion models and their accelerated solution in computer vision applications. Acta Mathematica Universitatis Comenianae (AMUC), 70(1):15-31, 2001. [ bib | Abstract ]
[39] H. Garcke, T. Preußer, M. Rumpf, A. Telea, U. Weikard, and J. van Wijk. A phase field model for continuous clustering on vector fields. IEEE Transactions on Visualization and Computer Graphics, 7:230-241, 2001. [ bib | .pdf | Abstract ]
[40] H. Garcke, M. Rumpf, and U. Weikard. The Cahn-Hilliard equation with elasticity, finite element approximation and qualitative analysis. Interfaces and Free Boundaries, 3, Issue 1,:101-118, 2001. [ bib | .pdf | Abstract ]
[41] G. Grün and M. Rumpf. Simulation of singularities and instabilities arising in thin film flow. European Journal of Applied Mathematics, 12:293-320, 2001. [ bib | Abstract ]
[42] J. Becker, T. Preußer, and M. Rumpf. PDE methods in flow simulation post processing. Computing and Visualization in Science, 3(3):159-167, 2000. [ bib | .pdf | Abstract ]
[43] U. Diewald, T. Preußer, and M. Rumpf. Anisotropic diffusion in vector field visualization on euclidean domains and surfaces. IEEE Transactions on Visualization and Computer Graphics, 6(2):139-149, 2000. [ bib | .pdf | Abstract ]
[44] T. Gerstner, M. Rumpf, and U. Weikard. Error indicators for multilevel visualization and computing on nested grids. Computers & Graphics, 24(3):363-373, 2000. [ bib | .ps.gz | .pdf | Abstract ]
[45] G. Grün and M. Rumpf. Nonnegativity preserving convergent schemes for the thin film equation. Numerische Mathematik, 87:113-152, 2000. [ bib | .pdf | Abstract ]
[46] T. Preußer and M. Rumpf. An adaptive finite element method for large scale image processing. Journal of Visual Communication and Image Representation, 11:183-195, 2000. [ bib | .pdf | Abstract ]
[47] M. Ohlberger and M. Rumpf. Adaptive projection operators in multiresolutional scientific visualization. IEEE Transactions on Visualization and Computer Graphics, Volume 5, Issue 1(4):74-94, 1999. [ bib | .pdf ]
[48] M. Rumpf. Recent numerical methods - a challenge for data analysis and visualization. Future Generation Computer Systems, 15(1):43-58, 1999. [ bib ]
[49] W. Dörfler and M. Rumpf. An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation. Mathematics of Computation, 67(224):1361-1382, 1998. [ bib ]
[50] M. Dellnitz, A. Hohmann, O. Junge, and M. Rumpf. Exploring invariant sets and invariant measures. Chaos, 7 (2):221-228, 1997. [ bib | .pdf ]
[51] M. Flucher and M. Rumpf. Bernoulli's free boundary problem, qualitative theory and numerical approximation. Journal für die reine und angewandte Mathematik, 486:165-204, 1997. [ bib ]
[52] M. Ohlberger and M. Rumpf. Hierarchical and adaptive visualization on nested grids. Computing, 59 Issue 4(4):365-385, 1997. [ bib ]
[53] M. Rumpf. A variational approach to optimal meshes. Numerische Mathematik, 72(4):523-540, 1996. [ bib ]
[54] M. Rumpf, A. Schmidt, and K. Siebert. Functions defining arbitrary meshes, a flexible interface between numerical data and visualization routines. Computer Graphics Forum, 15(2)(2):129-141, 1996. [ bib | .pdf ]
[55] M. Rumpf and A. Wierse. GRAPE, Eine Interaktive Umgebung für Visualisierung und numerik. Informatik, Forschung und Entwicklung, 7:145-151, 1992. [ bib ]

Articles in Proceedings

[1] B. Berkels, C. Kondermann, C. Garbe, and M. Rumpf. Reconstructing optical flow fields by motion inpainting. In Seventh International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR 2009), volume 5681 of Lecture Notes in Computer Science, pages 388-400. Springer, 2009. [ bib | DOI | .pdf ]
[2] N. Olischläger and M. Rumpf. Two step time discretization of Willmore flow. 2009. accepted at IMA Conference on the Mathematics of Surfaces. [ bib | .pdf ]
[3] M. Rumpf and B. Wirth. An elasticity approach to principal modes of shape variation. 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, pages 709-720, 2009. [ bib | .pdf ]
[4] L. O. Schwen, T. Preusser, and M. Rumpf. Composite finite elements for 3d elasticity with discontinuous coefficients. In Proceedings of the 16th Workshop on the Finite Element Method in Biomedical Engineering, Biomechanics and Related Fields. University of Ulm, 2009. submitted. [ bib | .pdf | Abstract ]
[5] B. Wirth, L. Bar, M. Rumpf, and G. Sapiro. Geodesics in shape space via variational time discretization. In Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR'09), volume 5681 of LNCS, pages 288-302, 2009. [ bib | .pdf ]
[6] L. O. Schwen, U. Wolfram, H.-J. Wilke, and M. Rumpf. Determining effective elasticity parameters of microstructured materials. In Proceedings of the 15th Workshop on the Finite Element Method in Biomedical Engineering, Biomechanics and Related Fields, pages 41-62. University of Ulm, July 2008. [ bib | .pdf | Abstract ]
[7] B. Berkels, G. Linkmann, and M. Rumpf. A shape median based on symmetric area differences. In O. Deussen, D. Keim, and D. Saupe, editors, Vision, Modeling, and Visualization Proceedings, pages 399-407, 2008. [ bib | .pdf ]
[8] S. Conti, M. Lenz, and M. Rumpf. Macroscopic behaviour of magnetic shape-memory polycrystals and polymer composites. In proceedings of the 7th European Symposium on Martensitic Transformations and Shape Memory Alloys, volume 481-482 of Materials Science and Engineering: A, pages 351-355, 2008. [ bib | DOI | .pdf | Abstract ]
[9] M. Lenz, S. F. Nemadjieu, and M. Rumpf. Finite volume method on moving surfaces. In R. Eymard and J.-M. Hérald, editors, Finite Volumes for Complex Applications V, pages 561-576. Wiley, 2008. [ bib | .pdf | Abstract ]
[10] T. Preusser, M. Rumpf, and L. O. Schwen. Finite element simulation of bone microstructures. In Proceedings of the 14th Workshop on the Finite Element Method in Biomedical Engineering, Biomechanics and Related Fields, pages 52-66. University of Ulm, July 2007. [ bib | .pdf | Abstract ]
[11] L. Bar, B. Berkels, M. Rumpf, and G. Sapiro. A variational framework for simultaneous motion estimation and restoration of motion-blurred video. In Eleventh IEEE International Conference on Computer Vision (ICCV 2007), 2007. [ bib | DOI | .pdf ]
[12] B. Berkels, A. Rätz, M. Rumpf, and A. Voigt. Identification of grain boundary contours at atomic scale. In Proceedings of the First International Conference on Scale Space Methods and Variational Methods in Computer Vision (SSVM 2007), volume 4485 of Lecture Notes in Computer Science, pages 765-776. Springer, 2007. [ bib | DOI | .pdf | Abstract ]
[13] O. Nemitz, M. B. Nielsen, M. Rumpf, and R. Whitaker. Narrow band methods for pdes on very large implicit surfaces. In H. P. A. Lensch, B. Rosenhahn, H.-P. Seidel, P. Slusallek, and J. Weickert, editors, Vision, Modeling and Visualization Proceedings, pages 171-180, 2007. [ bib | .pdf | Abstract ]
[14] J. Han, B. Berkels, M. Rumpf, J. Hornegger, M. Droske, M. Fried, J. Scorzin, and C. Schaller. A variational framework for joint image registration, denoising and edge detection. In Bildverarbeitung für die Medizin 2006, pages 246-250. Springer, March 2006. [ bib | .pdf ]
[15] B. Berkels, M. Burger, M. Droske, O. Nemitz, and M. Rumpf. Cartoon extraction based on anisotropic image classification. In Vision, Modeling, and Visualization Proceedings, pages 293-300, 2006. [ bib | .pdf ]
[16] U. Clarenz, M. Droske, S. Henn, M. Rumpf, and K. Witsch. Computational methods for nonlinear image registration. In O. Scherzer, editor, Mathematical Method for Registration and Applications to Medical Imaging, Mathematics in Industry, volume 10, 2006. [ bib | .pdf | Abstract ]
[17] M. Droske, C. Garbe, T. Preußer, M. Rumpf, and A. Telea. A variational approach to joint denoising, edge detection and motion estimation. In DAGM Symposium6, pages 525-535, 2006. [ bib | .pdf ]
[18] N. Litke, M. Droske, M. Rumpf, and P. Schröder. An image processing approach to surface matching. In M. Desbrun and H. Pottmann, editors, Third Eurographics Symposium on Geometry Processing, pages 207-216, 2005. [ bib | Abstract ]
[19] P. Bastian, M. Droske, C. Engwer, R. Kloefkorn, T. Neubauer, M. Ohlberger, and M. Rumpf. Towards a unified framework for scientific computing. In R. Kornhuber, R. Hoppe, J. Périaux, O. Pironneau, O. Widlund, and J. Xu, editors, Proceedings of the 15th International Conference on Domain Decomposition Methods, Vol. 40, Lecture notes in Computational Science and Engineering, 2004. [ bib | .pdf | Abstract ]
[20] B. Berkels, U. Clarenz, S. Crewell, U. Loehnert, M. Rumpf, and C. Simmer. A physical temperatur profiling method using gradient flows. In Microwave Radiometry and Remote Sensing Applications, Feb. 2004, Rome, Italy, 2004. [ bib | .pdf | Abstract ]
[21] U. Clarenz, M. Rumpf, and A. Telea. Fairing of point based surfaces. In COMPUTER GRAPHICS INTERNATIONAL (CGI'04), pages 600-603, 2004. [ bib | .pdf | Abstract ]
[22] U. Clarenz, M. Rumpf, and A. Telea. Finite elements on point based surfaces. Proc. EG Symposium of Point Based Graphics (SPBG 2004), 2004. [ bib | Abstract ]
[23] U. Clarenz, F. Haußer, M. Rumpf, A. Voigt, and U. Weikard. On level set formulations for anisotropic mean curvature flow and surface diffusion. In A. Voigt, editor, Multiscale Modeling in Epitaxial Growth, volume 149 of International Series of Numerical Mathematics, pages 227-238. Birkhäuser, 2004. [ bib | .pdf | Abstract ]
[24] M. Griebel, T. Preußer, M. Rumpf, A. Schweitzer, and A. Telea. Flow field clustering via algebraic multigrid. In Proceedings Visualization Conference 2004. IEEE CS Press, 2004. [ bib | .pdf | Abstract ]
[25] U. Clarenz, U. Diewald, and M. Rumpf. A multiscale fairing method for textured surfaces. In H.-C. Hege and K. Polthier, editors, Visualization and Mathematics III, pages 245-260, Heidelberg, 2003. Springer-Verlag. (VisMath2002). [ bib | Abstract ]
[26] U. Clarenz, G. Dziuk, and M. Rumpf. On generalized mean curvature flow in surface processing. In H. Karcher and S. Hildebrandt, editors, Geometric analysis and nonlinear partial differential equations, pages 217-248. Springer, 2003. [ bib | .pdf | Abstract ]
[27] M. Droske, M. Rumpf, and C. Schaller. Non-rigid morphological registration and its practical issues. In Proc. ICIP '03, IEEE International Conference on Image Processing, Sep. 2003, Barcelona, Spain, pages II: 699-702, 2003. [ bib | .pdf | Abstract ]
[28] T. Preußer and M. Rumpf. Extracting motion velocities from 3D image sequences. In SPIE Conference on Visualization and Data Analysis, 2003. [ bib | .pdf | Abstract ]
[29] J. Becker, G. Grün, and M. Rumpf. On space-time-adaptive convergent finite-element schemes for a general class of lubrication -type equations. In Proceedings V World Congress on Computational Mechanics, 2002. [ bib | Abstract ]
[30] U. Clarenz, M. Droske, and M. Rumpf. Towards fast non-rigid registration. In Inverse Problems, Image Analysis and Medical Imaging, AMS Special Session Interaction of Inverse Problems and Image Analysis, volume 313, pages 67-84. AMS, 2002. [ bib | .pdf | Abstract ]
[31] U. Clarenz, S. Henn, and K. Rumpf, M. Witsch. Relations between optimization and gradient flow methods with applications to image registration. In Proceedings of the 18th GAMM Seminar Leipzig on Multigrid and Related Methods for Optimisation Problems, pages 11-30, 2002. [ bib | .pdf | Abstract ]
[32] G. Grün, M. Lenz, and M. Rumpf. A finite volume scheme for surfactant driven thin film flow. In R. Herbin and D. Kröner, editors, Finite Volumes for Complex Applications III, pages 567-574. Hermes Penton Sciences, 2002. [ bib | .pdf | Abstract ]
[33] S. Klupsch, M. Ernst, S. A. Huss, M. Rumpf, and R. Strzodka. Real time image processing based on reconfigurablhimoe hardware acceleration. In Proc. Heterogeneous reconfigurable Systems on Chip, 2002. [ bib | .pdf | Abstract ]
[34] M. Rumpf and A. Telea. A continuous skeletonization method based on level sets. In Joint EUROGRAPHICS-IEEE TCVG Symposium on Visualization, pages 151-157, 2002. [ bib | Abstract ]
[35] D. Bürkle, T. Preußer, and M. Rumpf. Transport and anisotropic diffusion in time-dependent flow visualization. In Proceedings Visualization 2001, 2001. [ bib | .pdf | Abstract ]
[36] U. Diewald, S. Morigi, and M. Rumpf. On geometric evolution and cascadic multigrid in subdivision. In T. Ertl, B. Girod, G. Greiner, H. Niemann, and H.-P. Seidel, editors, Proc. Vision, Modeling and Visualization 2001, Stuttgart, pages 67-75, 2001. [ bib | .pdf | Abstract ]
[37] M. Droske, B. Meyer, M. Rumpf, and C. Schaller. An adaptive level set method for medical image segmentation. In R. Leahy and M. Insana, editors, Proc. of the Annual Symposium on Information Processing in Medical Imaging. Springer, Lecture Notes Computer Science, 2001. [ bib | .pdf | Abstract ]
[38] K. Mikula, T. Preußer, M. Rumpf, and F. Sgallari. On anisotropic geometric diffusion in 3D image processing and image sequence analysis. In Proceedings TINA Conference, Heidelberg 2000, 2001. [ bib | .pdf | Abstract ]
[39] M. Rumpf and R. Strzodka. Nonlinear diffusion in graphics hardware. In Proceedings of EG/IEEE TCVG Symposium on Visualization VisSym '01, pages 75-84, 2001. [ bib | Abstract ]
[40] M. Rumpf and R. Strzodka. Using graphics cards for quantized fem computations. In Proceedings VIIP Conference on Visualization and Image Processing, 2001. [ bib | .pdf | Abstract ]
[41] R. Strzodka and M. Rumpf. Level set segmentation in graphics hardware. In Proceedings of IEEE International Conference on Image Processing (ICIP'01), 3, pages 1103-1106, 2001. [ bib | .pdf | Abstract ]
[42] U. Clarenz, U. Diewald, and M. Rumpf. Nonlinear anisotropic diffusion in surface processing. In B. H. T. Ertl and A. Varshney, editors, Proceedings Visualization 2000, pages 397-405, 2000. [ bib | .pdf | Abstract ]
[43] M. Dellnitz, O. Junge, M. Rumpf, and R. Strzodka. The computation of an unstable invariant set inside a cylinder containing a knotted flow. In B. Fiedler, K. Gröger, and J. Sprekels, editors, Proceedings of the Equadiff 1999, pages 1015-1020. World Scientific, 2000. [ bib | Abstract ]
[44] U. Diewald and M. Rumpf. Visualization of principal curvature directions by anisotropic diffusion. In B. Girod, G. Greiner, H. Niemann, and H.-P. Seidel, editors, Proc. Vision, Modeling and Visualization 2000, MPI Saarbrücken, pages 293-301, 2000. [ bib | .pdf | Abstract ]
[45] M. Droske, T. Preußer, and M. Rumpf. A multilevel segmentation method. In B. Girod, G. Greiner, H. Niemann, and H.-P. Seidel, editors, Proc. Vision, Modeling and Visualization, MPI Informatik, Saarbrücken, Germany, pages 327-336, 2000. [ bib | .pdf | Abstract ]
[46] H. Garcke, T. Preußer, M. Rumpf, A. Telea, U. Weikard, and J. Van Wijk. A continuous clustering method for vector fields. In Visualization 2000, pages 351-358. IEEE Computer Society Washington, DC, USA, 2000. [ bib | .pdf | Abstract ]
[47] S. Noelle, W. Rosenbaum, and M. Rumpf. An adaptive staggered grid scheme for conservation laws. In Proceedings Eight International Conference on Hyperbolic Problems 1999, 2000. [ bib | .pdf ]
[48] D. Bürkle, M. Dellnitz, O. Junge, M. Rumpf, and M. Spielberg. Visualizing complicated dynamics. In Late Braking Hot Topic Visualization 1999 Conference, pages 33-36, 1999. [ bib | .pdf ]
[49] T. Gerstner and M. Rumpf. Multiresolutional parallel isosurface extraction based on tetrahedral bisection. In Proceedings of the VolVis '99 Workshop at Swansee. Springer, 1999. [ bib | .pdf ]
[50] G. Grün and M. Rumpf. Entropy consistent finite volume schemes for the thin film equation. In D. H. R. Vilsmeier, F. Benkhaldoun, editor, Finite volume schemes for complex applications II. Hermes Science Publications, Paris, 1999. [ bib ]
[51] T. Preußer and M. Rumpf. Anisotropic nonlinear diffusion in flow visualization. In Proceedings Visualization 1999, 1999. [ bib | .pdf | Abstract ]
[52] A. Backes, A. Dahr, and M. Rumpf. Interactive visualization of particle systems. In CGI '98: Proceedings of the Computer Graphics International 1998, pages 88-95, Washington, DC, USA, 1998. IEEE Computer Society. [ bib ]
[53] J. Becker and M. Rumpf. Visualization of time-dependent velocity fields by texture transport. In Proceedings of the Eurographics Scientific Visualization Workshop '98. Springer, 1998. [ bib ]
[54] M. Metscher and M. Rumpf. Optimal searching on hierarchical grids based on local coordinates. In Proceedings of the GAMM-Seminar, Kiel. Vieweg, 1998. [ bib ]
[55] R. Neubauer, M. Ohlberger, M. Rumpf, and R. Schwörer. Efficient visualization of large scale data on hierarchical meshes. In W. Lefer and M. Grave, editors, Visualization in Scientific Computing '97, pages 125-138. Springer, 1997. [ bib | .pdf ]
[56] M. Rumpf. The equilibrium state of an elastic solid in an incompressible fluid flow. In J. G. H. et al., editor, Theory of the Navier-Stokes Equations, volume 47. World Scientific Publisher, 1997. Preprint, Sonderforschungsbereich 256, Bonn, 1992. [ bib ]
[57] R. T. Happe and M. Rumpf. Characterizing global features of simulation data by selected local icons. In Proceedings of the Eurographics workshop on Virtual environments and scientific visualization '96, pages 234-242. Springer, 1996. [ bib ]
[58] K. Polthier and M. Rumpf. A concept for time-dependent processes. In M. Göbel, H. Müller, and B. Urban, editors, Scientific Visualization. Springer, 1995. [ bib | .pdf ]
[59] M. Rumpf, A. Schmidt, and K. Siebert. On a unified visualization approach for data from advanced numerical methods. In R. Scateni, J. Van Wijk, and P. Zanarini, editors, Visualization in Scientific Computing, pages 35-44. Springer, 1995. [ bib ]
[60] M. Rumpf and B. Schupp. Visualization of parallel data based on procedural access. In Proceedings MathVis Conference, Berlin, pages 197-ff. Springer, 1995. [ bib ]
[61] M. Rumpf. Adapting meshes by deformation, numerical examples and applications. In Proceedings of the 10th GAMM Seminar, Kiel. Vieweg, 1994. [ bib ]
[62] M. Rumpf and M. Wierse. Visualization concepts for adaptive nonstationary flow. In Proceedings of the DFG Workshops Visualisierung Paderborn. World Scientific Publisher, 1994. [ bib ]
[63] K. Polthier and M. Rumpf. WYSIWYO in differential geometry (what you see is where you operate). In Proceedings of the Eurographics Workshop on Computer Graphics and Mathematics, Genua, 1991. [ bib ]

Miscellaneous Publications

[1] 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. Mathematical Methods in Time Series Analysis and Digital Image Processing, chapter Inverse Problems and Parameter Identification in Image Processing, pages 111-151. Understanding Complex Systems. Springer, 2008. [ bib | .pdf ]
[2] J. Dohmen, N. Grunewald, F. Otto, and M. Rumpf. Mathematics - Key Technology for the Future, chapter Micro Structures in Thin Coating Layers: Micro Structure Evolution and Macroscopic Contact Angle. Springer, 2007. [ bib | .pdf ]
[3] H. Garcke, M. Lenz, B. Niethammer, M. Rumpf, and U. Weikard. Multiple scales in phase separating systems with elastic misfit. In A. Mielke, editor, Analysis, Modeling and Simulation of Multiscale Problems. Springer, 2006. Final report of DFG priority program 1095. [ bib | http | .pdf ]
[4] M. Rumpf and R. Strzodka. Graphics processor units: New prospects for parallel computing. In Numerical Solution of Partial Differential Equations on Parallel Computers, pages 89-132. Springer, 2005. [ bib ]
[5] R. Strzodka, M. Droske, and M. Rumpf. Gradient flow registration - a streaming implementation in DX9 graphics hardware. Technical report, research center caesar, Jan 2003. [ bib | .pdf ]
[6] J. Becker, D. Bürkle, R.-T. Happe, T. Preußer, M. Rumpf, M. Spielberg, and R. Strzodka. Asspects on data analysis and visualization for complex dynamical systems. 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. [ bib | Abstract ]
[7] T. Geßner, B. Haasdonk, R. Kende, M. Lenz, R. Neubauer, M. Metscher, M. Ohlberger, W. Rosenbaum, M. Rumpf, R. Schwörer, M. Spielberg, and U. Weikard. A procedural interface to hierarchical grids. Technical report, SFB 256, University Bonn, 1999. [ bib | .html | .pdf | Abstract ]
[8] R. Kleinrensing and M. Rumpf. Asynchronous local mesh adaption for domain decomposition methods. Technical Report Preprint 5, Mathematische Fakultät, Freiburg, 1995. [ bib ]
[9] A. Schmidt, M. Rumpf, and K. G. Siebert. On a unified visualization approach for data from advanced numerical methods. In R. Scateni, J. V. Wijk, and P. Zanarini, editors, Visualization in Scientific Computing '95, pages 35-44. Springer, 1995. [ bib ]
[10] M. Geiben and M. Rumpf. Visualization of finite elements and tools for numerical analysis. In F. Post and A. H. Hin, editors, Advances in Scientific Visualization, pages 1-23. Springer, 1993. [ bib ]
[11] J. Nakielski and M. Rumpf. Growth in apical meristems of plants, visualization tools and growth tensor methods. Technical Report 11, SFB 256, Bonn, 1992. [ bib ]