[1] |
M. Erbar, M. Rumpf, B. Schmitzer, and S. Simon.
Computation of optimal transport on discrete metric measure spaces,
2017.
submitted. [ bib | arXiv | .pdf 1 ] |
[1] |
S. Conti, M. Rumpf, R. Schultz, and S. Tölkes.
Stochastic dominance constraints in elastic shape optimization.
SIAM Journal on Control and Optimization, 2018.
accepted. [ bib | arXiv | .pdf 1 | Abstract ] |
[2] |
A. Effland.
Discrete Riemannian Calculus and A Posteriori Error Control on
Shape Spaces.
PhD thesis, University of Bonn, 2018. [ bib | http ] |
[3] |
A. Effland, M. Hölzel, T. Klatzer, E. Kobler, J. Landsberg, L. Neuhäuser,
T. Pock, and M. Rumpf.
Variational networks for joint image reconstruction and
classification of tumor immune cell interactions in melanoma tissue sections.
In Bildverarbeitung für die Medizin, 2018. [ bib | .pdf 1 ] |
[4] |
A. Effland, M. Rumpf, and F. Schäfer.
Image extrapolation for the time discrete metamorphosis model:
Existence and applications.
SIAM J. Imaging Sci., 11(1):834-862, 2018. [ bib | arXiv | .pdf 1 ] |
[5] |
B. Heeren, C. Zhang, M. Rumpf, and W. Smith.
Principal geodesic analysis in the space of discrete shells.
Comput. Graph. Forum, 37(5), 2018. [ bib | DOI | .pdf 1 ] |
[1] |
D. Gallistl, P. Huber, and D. Peterseim.
On the stability of the Rayleigh-Ritz method for eigenvalues.
Numerische Mathematik, 137(2):339-351, Oct 2017. [ bib | DOI | http | Abstract ] |
[2] |
B. Berkels, M. Buchner, A. Effland, M. Rumpf, and S. Schmitz-Valckenberg.
GPU based image geodesics for optical coherence tomography.
In Bildverarbeitung für die Medizin, Informatik aktuell,
pages 68-73. Springer, 2017. [ bib | DOI | .pdf 1 ] |
[3] |
B. Berkels, A. Effland, and M. Rumpf.
A posteriori error control for the binary Mumford-Shah model.
Math. Comp., 86(306):1769-1791, 2017. [ bib | DOI | arXiv | .pdf 1 | Abstract ] |
[4] |
S. Conti, B. Geihe, M. Lenz, and M. Rumpf.
A posteriori modeling error estimates in the optimization of
two-scale elastic composite materials.
ESAIM: Mathematical Modelling and Numerical Analysis, 2017.
to appear. [ bib | arXiv | .pdf 1 | Abstract ] |
[5] |
A. Effland, M. Rumpf, and F. Schäfer.
Time discrete extrapolation in a Riemannian space of images.
In Proc. of International Conference on Scale Space and
Variational Methods in Computer Vision, volume 10302, pages 473-485.
Springer, Cham, 2017.
Lecture Notes in Computer Science. [ bib | .pdf 1 ] |
[6] |
B. Heeren, M. Rumpf, and B. Wirth.
Variational time discretization of Riemannian splines.
IMA J. Numer. Anal., 2017.
accepted. [ bib | arXiv | .pdf 1 ] |
[7] |
P. Hornung, M. Rumpf, and S. Simon.
Material optimization for nonlinearly elastic planar beams.
ESAIM: Control, Optimisation and Calculus of Variations, 2017. [ bib | DOI | arXiv | .pdf 1 ] |
[8] |
P. Huber, R. Perl, and M. Rumpf.
Smooth interpolation of key frames in a Riemannian shell space.
Comput. Aided Geom. Design, 52 - 53:313 - 328, 2017. [ bib | DOI | http | .pdf 1 | Abstract ] |
[9] |
J. A. Iglesias, M. Rumpf, and O. Scherzer.
Shape-aware matching of implicit surfaces based on thin shell
energies.
Found. Comput. Math., Online First, 2017. [ bib | DOI | .pdf 1 | Abstract ] |
[10] |
N. Lüthen, M. Rumpf, S. Tölkes, and O. Vantzos.
Branching structures in elastic shape optimization.
2017.
in print. [ bib | arXiv | .pdf 1 | Abstract ] |
[11] |
J. Maas, M. Rumpf, and S. Simon.
Transport based image morphing with intensity modulation.
In Proc. of International Conference on Scale Space and
Variational Methods in Computer Vision. Springer, Cham, 2017. [ bib | .pdf 1 ] |
[12] |
S. Markett, M. Reuter, B. Heeren, B. Lachmann, B. Weber, and C. Montag.
Working memory capacity and the functional connectome - insights from
resting-state fMRI and voxelwise eigenvector centrality mapping.
Brain Imaging and Behavior, 2017.
accepted. [ bib ] |
[13] |
O. Vantzos, O. Azencot, M. Wardetzky, M. Rumpf, and M. Ben-Chen.
Functional thin films on surfaces.
IEEE Transactions of Visualization and Computer Graphics, 2017.
to appear. [ bib | .pdf 1 | Abstract ] |
[1] |
S. Conti, M. Lenz, and M. Rumpf.
Hysteresis in magnetic shape memory composites: Modeling and
simulation.
J. Mech. Phys. Solids, 89:272-286, 2016. [ bib | DOI | arXiv | .pdf 1 | Abstract ] |
[2] |
P. W. Dondl, B. Heeren, and M. Rumpf.
Optimization of the branching pattern in coherent phase transitions.
C. R. Math. Acad. Sci. Paris, 354(6):639-644, 2016. [ bib | arXiv | Abstract ] |
[3] |
B. Geihe and M. Rumpf.
A posteriori error estimates for sequential laminates in shape
optimization.
Discrete and Continuous Dynamical Systems - Series S,
9(5):1377-1392, 2016. [ bib | DOI | arXiv | http | .pdf 1 | Abstract ] |
[4] |
B. Heeren.
Numerical Methods in Shape Spaces and Optimal Branching
Patterns.
PhD thesis, University of Bonn, 2016. [ bib ] |
[5] |
B. Heeren, M. Rumpf, P. Schröder, M. Wardetzky, and B. Wirth.
Splines in the space of shells.
Comput. Graph. Forum, 35(5):111-120, 2016. [ bib | .pdf 1 ] |
[6] |
B. Jüttler, A. Mantzaflaris, R. Perl, and M. Rumpf.
On numerical integration in isogeometric subdivision methods for
PDEs on surfaces.
Computer Methods in Applied Mechanics and Engineering,
302:131-146, 2016. [ bib | DOI ] |
[7] |
S. Markett, C. Montag, B. Heeren, R. Sariyska, B. Lachmann, B. Weber, and
M. Reuter.
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.
Brain Structure and Function, 221:2755-2765, 2016. [ bib | DOI ] |
[1] |
O. Azencot, O. Vantzos, M. Wardetzky, M. Rumpf, and M. Ben-Chen.
Functional thin films on surfaces.
In Proc. of ACM SIGGRAPH/Eurographics Symposium on Computer
Animation, pages 137-146, 2015. [ bib | DOI | Abstract ] |
[2] |
B. Berkels, A. Effland, and M. Rumpf.
Time discrete geodesic paths in the space of images.
SIAM J. Imaging Sci., 8(3):1457-1488, 2015. [ bib | DOI | arXiv | .pdf 1 | Abstract ] |
[3] |
S. Conti, J. Ginster, and M. Rumpf.
A BV functional and its relaxation for joint motion estimation and
image sequence recovery.
ESAIM: Mathematical Modelling and Numerical Analysis,
49(5):1463-1487, 2015. [ bib | DOI | Abstract ] |
[4] |
A. Effland, M. Rumpf, S. Simon, K. Stahn, and B. Wirth.
Bézier curves in the space of images.
In Proc. of International Conference on Scale Space and
Variational Methods in Computer Vision, volume 9087 of Lecture Notes in
Computer Science, pages 372-384. Springer, Cham, 2015. [ bib | Abstract ] |
[5] |
J. Maas, M. Rumpf, C. Schönlieb, and S. Simon.
A generalized model for optimal transport of images including
dissipation and density modulation.
ESAIM Math. Model. Numer. Anal., 49(6):1745-1769, 2015. [ bib | DOI | arXiv | Abstract ] |
[6] |
R. Perl.
Isogeometric Approximation of Variational Problems for Shells.
PhD thesis, University of Bonn, 2015. [ bib ] |
[7] |
M. Rumpf and B. Wirth.
Variational time discretization of geodesic calculus.
IMA J. Numer. Anal., 35(3):1011-1046, 2015. [ bib | DOI | arXiv ] |
[8] |
C. Zhang, B. Heeren, M. Rumpf, and W. Smith.
Shell PCA: statistical shape modelling in shell space.
In Proc. of IEEE International Conference on Computer Vision,
2015. [ bib | .pdf 1 ] |
[1] |
B. Berkels, I. Cabrilo, S. Haller, M. Rumpf, and K. Schaller.
Co-registration of intra-operative brain surface photographs and
pre-operative MR images.
International Journal of Computer Assisted Radiology and
Surgery, 9(3):387-400, May 2014. [ bib | DOI | .pdf 1 ] |
[2] |
S. Conti, B. Geihe, M. Rumpf, and R. Schultz.
Two-stage stochastic optimization meets two-scale simulation.
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. [ bib | DOI | http | .pdf 1 | Abstract ] |
[3] |
B. Heeren, M. Rumpf, P. Schröder, M. Wardetzky, and B. Wirth.
Exploring the geometry of the space of shells.
Comput. Graph. Forum, 33(5):247-256, 2014. [ bib | .pdf 1 ] |
[4] |
M. Pach.
Risikoaverse Formoptimierung - Risikomaße und stochastische
Ordnungen.
Dissertation, Universität Duisburg-Essen, 2014. [ bib | http ] |
[5] |
R. Perl, P. Pozzi, and M. Rumpf.
A nested variational time discretization for parametric anisotropic
willmore flow.
In M. Griebel, editor, Singular Phenomena and Scaling in
Mathematical Models, pages 221-241. Springer, Cham, 2014. [ bib | DOI | Abstract ] |
[6] |
M. Rumpf and M. Wardetzky.
Geometry processing from an elastic perspective.
GAMM-Mitt., 37(2):184-216, 2014. [ bib | DOI | .pdf 1 ] |
[7] |
O. Vantzos.
Thin viscous films on curved geometries.
PhD thesis, University of Bonn, 2014. [ bib | http ] |
[1] |
B. Berkels, S. Bauer, S. Ettl, O. Arold, J. Hornegger, and M. Rumpf.
Joint surface reconstruction and 4D deformation estimation from
sparse data and prior knowledge for marker-less respiratory motion tracking.
Medical Physics, 40(9):091703, September 2013. [ bib | DOI ] |
[2] |
A. B. Yankovich, B. Berkels, W. Dahmen, R. C. Sharpley, P. Binev, and P. M.
Voyles.
Measuring surface atom bond length contraction in Au and Pt
nanoparticles using high-precision STEM imaging.
In Microscopy and Microanalysis, volume 19 (Supplement 2),
pages 1688-1689. Cambridge University Press, August 2013. [ bib | DOI ] |
[3] |
B. Berkels, I. Cabrilo, S. Haller, M. Rumpf, and K. Schaller.
Co-registration of intra-operative photographs and pre-operative MR
images.
In Bildverarbeitung für die Medizin 2013, Informatik
aktuell, pages 122-127. Springer, 2013. [ bib | DOI | .pdf 1 ] |
[4] |
B. Berkels, P. T. Fletcher, B. Heeren, M. Rumpf, and B. Wirth.
Discrete geodesic regression in shape space.
In Proc. of 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 1 ] |
[5] |
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 1 ] |
[6] |
B. Geihe, M. Lenz, M. Rumpf, and R. Schultz.
Risk averse elastic shape optimization with parametrized fine scale
geometry.
Mathematical Programming, 141(1-2):383-403, 2013. [ bib | DOI | http | .pdf 1 | Abstract ] |
[7] |
J. Iglesias, B. Berkels, M. Rumpf, and O. Scherzer.
A thin shell approach to the registration of implicit surfaces.
In M. Bronstein, J. Favre, and K. Hormann, editors, Vision,
Modeling and Visualization, pages 89-96. Eurographics Association, 2013. [ bib | DOI | .pdf 1 ] |
[8] |
M. Rumpf and O. Vantzos.
Natural gradient flow discretization of viscous thin films on curved
geometries.
Mathematical Models and Methods in Applied Sciences,
23(05):917-947, 2013. [ bib | DOI | .pdf 1 ] |
[9] |
M. Rumpf and B. Wirth.
Discrete geodesic calculus in shape space and applications in the
space of viscous fluidic objects.
SIAM J. Imaging Sci., 6(4):2581-2602, 2013. [ bib | arXiv | .pdf 1 | Abstract ] |
[1] |
P. Atwal, S. Conti, B. Geihe, M. Pach, M. Rumpf, and R. Schultz.
On shape optimization with stochastic loadings.
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. [ bib | DOI | http | .pdf 1 | Abstract ] |
[2] |
N. Balzani and M. Rumpf.
A nested variational time discretization for parametric Willmore
flow.
Interfaces Free Bound., 14(4):431-454, 2012. [ bib | DOI | .pdf 1 ] |
[3] |
S. Bauer, B. Berkels, S. Ettl, O. Arold, J. Hornegger, and M. Rumpf.
Marker-less reconstruction of dense 4-d surface motion fields using
active laser triangulation from sparse measurements for respiratory motion
management.
In Medical Image Computing and Computer-Assisted Intervention
(MICCAI), volume 7510 of Lecture Notes in Computer Science, pages
414-421. Springer, 2012. [ bib | DOI | .pdf 1 ] |
[4] |
S. Conti, M. Lenz, and M. Rumpf.
Modeling and simulation of large microstructured particles in
magnetic-shape-memory.
Advanced Engineering Materials, 14(8):582-588, 2012. [ bib | DOI | .pdf 1 | Abstract ] |
[5] |
B. Heeren, M. Rumpf, M. Wardetzky, and B. Wirth.
Time-discrete geodesics in the space of shells.
Comput. Graph. Forum, 31(5):1755-1764, 2012. [ bib | DOI | .pdf 1 ] |
[6] |
S. F. Nemadjieu.
Finite Volume Methods for Advection Diffusion on Moving
Interfaces and Application on Surfactant Driven Thin Film Flow.
Dissertation, University of Bonn, 2012. [ bib | http | .pdf 1 ] |
[7] |
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 1 ] |
[1] |
S. Bauer, B. Berkels, J. Hornegger, and M. Rumpf.
Joint ToF image denoising and registration with a CT surface in
radiation therapy.
In Third International Conference on Scale Space Methods and
Variational Methods in Computer Vision, Lecture Notes in Computer Science,
pages 98-109. Springer, 2011. [ bib | DOI | .pdf 1 ] |
[2] |
B. Berkels, M. Kotowski, M. Rumpf, and C. Schaller.
Sulci detection in photos of the human cortex based on learned
discriminative dictionaries.
In Third International Conference on Scale Space Methods and
Variational Methods in Computer Vision, Lecture Notes in Computer Science,
pages 326-337. Springer, 2011. [ bib | DOI | .pdf 1 ] |
[3] |
S. Conti, H. Held, M. Pach, M. Rumpf, and R. Schultz.
Risk averse shape optimization.
SIAM Journal on Control and Optimization, 49(3):927-947, 2011. [ bib | DOI | .pdf 1 | Abstract ] |
[4] |
B. Heeren.
Geodätische im Raum von Schalenformen.
diploma thesis, 2011. [ bib | .pdf 1 ] |
[5] |
M. Lenz, S. F. Nemadjieu, and M. Rumpf.
A convergent finite volume scheme for diffusion on evolving surfaces.
SIAM Journal on Numerical Analysis, 49(1):15-37, 2011. [ bib | DOI | .pdf 1 | Abstract ] |
[6] |
T. Preusser, M. Rumpf, S. Sauter, and L. O. Schwen.
3D composite finite elements for elliptic boundary value problems
with discontinuous coefficients.
SIAM Journal on Scientific Computing, 33(5):2115-2143, 2011. [ bib | DOI | .pdf 1 | Abstract ] |
[7] |
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 1 ] |
[8] |
M. Rumpf and B. Wirth.
An elasticity-based covariance analysis of shapes.
Int. J. Comput. Vis., 92(3):281-295, 2011. [ bib | DOI | .pdf 1 ] |
[9] |
B. Wirth, L. Bar, M. Rumpf, and G. Sapiro.
A continuum mechanical approach to geodesics in shape space.
Int. J. Comput. Vis., 93(3):293-318, 2011. [ bib | DOI | .pdf 1 ] |
[1] |
B. Berkels.
Joint methods in imaging based on diffuse image
representations.
Dissertation, University of Bonn, 2010. [ bib | http | Abstract ] |
[2] |
B. Berkels, G. Linkmann, and M. Rumpf.
An SL(2) invariant shape median.
Journal of Mathematical Imaging and Vision, 37(2):85-97, 2010. [ bib | DOI | .pdf 1 ] |
[3] |
M. Boerdgen, B. Berkels, M. Rumpf, and D. Cremers.
Convex relaxation for grain segmentation at atomic scale.
In D. Fellner, editor, Vision, Modeling and Visualization,
pages 179-186. Eurographics Association, 2010. [ bib | DOI | .pdf 1 ] |
[4] |
S. W. von Deylen.
Diplomarbeit über einen Variationsansatz zur optimalen
Parametrisierung implizit gegebener Flächen und seine numerische
Implementation.
Diplomarbeit, Bonn University, 2010. [ bib | .pdf 1 ] |
[5] |
S. F. Nemadjieu.
A convergent finite volume type o-method on evolving surfaces.
In Proceedings of the 8th International Conference of Numerical
Analysis and Applied Mathematics, volume 1281 of AIP Conference
Proceedings, pages 2184-2187, 2010. [ bib | DOI | .pdf 1 | Abstract ] |
[6] |
C. Nieuwenhuis, B. Berkels, M. Rumpf, and D. Cremers.
Interactive motion segmentation.
In 32nd DAGM Symposium on Pattern Recognition, volume 6376 of
Lecture Notes in Computer Science, pages 483-492. Springer, 2010. [ bib | DOI | .pdf 1 ] |
[7] |
N. Olischläger.
Processing Elastic Surfaces and Related Gradient Flows.
Dissertation, University Bonn, 2010. [ bib | http | .pdf 1 | Abstract ] |
[8] |
M. Rumpf, L. O. Schwen, H.-J. Wilke, and U. Wolfram.
Numerical homogenization of trabecular bone specimens using composite
finite elements.
In Multiphysics Simulations - Advanced Methods for Industrial
Engineering, pages 127-143. Fraunhofer, Multi-Science Publishing, 2010. [ bib | .pdf 1 | Abstract ] |
[9] |
C. Schlimper, O. Nemitz, U. Dorenbeck, J. Scorzin, R. Whitaker, T. Tasdizen,
M. Rumpf, and K. Schaller.
Restoring three-dimensional magnetic resonance angiography images
with mean curvature motion.
Neurological Research, 32(1):87-93, 2010. [ bib | DOI | Abstract ] |
[10] |
L. O. Schwen.
Composite Finite Elements for Trabecular Bone Microstructures.
Dissertation, University of Bonn, 2010. [ bib | .pdf 1 | Abstract ] |
[1] |
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 1 | Abstract ] |
[2] |
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 1 | Abstract ] |
[3] |
B. Berkels.
An unconstrained multiphase thresholding approach for image
segmentation.
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 26-37. Springer,
2009. [ bib | DOI | .pdf 1 ] |
[4] |
B. Berkels, C. Kondermann, C. Garbe, and M. Rumpf.
Reconstructing optical flow fields by motion inpainting.
In 7th International Conference on Energy Minimization Methods
in Computer Vision and Pattern Recognition, volume 5681 of Lecture
Notes in Computer Science, pages 388-400. Springer, 2009. [ bib | DOI | .pdf 1 ] |
[5] |
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, 2009. [ bib | DOI | .pdf 1 ] |
[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 1 ] |
[7] |
C. Eck, M. Fontelos, G. Grün, F. Klingbeil, and O. Vantzos.
On a phase-field model for electrowetting.
Interfaces and Free Boundaries, 11(2):259-290, 2009. [ bib | DOI ] |
[8] |
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, 31(3):2258-2281, 2009. [ bib | DOI | .pdf 1 | Abstract ] |
[9] |
N. Olischläger and M. Rumpf.
Two step time discretization of Willmore flow.
In E. R. Hancock, R. R. Martin, and M. A. Sabin, editors, IMA
Conference on the Mathematics of Surfaces, volume 5654 of Lecture Notes
in Computer Science, pages 278-292. Springer, 2009. [ bib | DOI | .pdf 1 ] |
[10] |
M. Rumpf.
Variational methods in image matching and motion extraction.
In M. Burger and S. Osher, editors, Level Set and PDE based
Reconstruction Methods: Applications to Inverse Problems and Image
Processing, Lecture Notes in Mathematics. Springer, 2009.
to appear as CIME course notes. [ bib | .pdf 1 ] |
[11] |
M. Rumpf and B. Wirth.
A nonlinear elastic shape averaging approach.
SIAM J. Imaging Sci., 2(3):800-833, 2009. [ bib | DOI | .pdf 1 | Abstract ] |
[12] |
M. Rumpf and B. Wirth.
An elasticity approach to principal modes of shape variation.
In Proc. of 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 1 ] |
[13] |
L. O. Schwen, T. Preusser, and M. Rumpf.
Composite finite elements for 3D elasticity with discontinuous
coefficients.
In 16th Workshop on the Finite Element Method in Biomedical
Engineering, Biomechanics and Related Fields. University of Ulm, 2009.
to appear. [ bib | .pdf 1 | Abstract ] |
[14] |
B. Wirth.
Variational methods in shape space.
Dissertation, University Bonn, 2009. [ bib | http ] |
[15] |
B. Wirth, L. Bar, M. Rumpf, and G. Sapiro.
Geodesics in shape space via variational time discretization.
In Proc. of 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 1 ] |
[1] |
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, April 2008. [ bib | DOI | .pdf 1 ] |
[2] |
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 | DOI | .pdf 1 ] |
[3] |
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, pages 399-407. AKA Publishing, 2008. [ bib | .pdf 1 ] |
[4] |
S. Conti, M. Lenz, and M. Rumpf.
Macroscopic behaviour of magnetic shape-memory polycrystals and
polymer composites.
In 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 1 | Abstract ] |
[5] |
M. Fontelos, U. Kindelan, and O. Vantzos.
Evolution of neutral and charged droplets in an electric field.
Physics of Fluids, 20(9), 2008. [ bib | DOI ] |
[6] |
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 1 | Abstract ] |
[7] |
O. Nemitz.
Anisotrope Verfahren in der Bildverarbeitung:
Gradientenflüsse, Level-Sets und Narrow Bands.
Dissertation, University of Bonn, 2008. [ bib | http | .pdf 1 | Abstract ] |
[8] |
L. O. Schwen, U. Wolfram, H.-J. Wilke, and M. Rumpf.
Determining effective elasticity parameters of microstructured
materials.
In 15th Workshop on the Finite Element Method in Biomedical
Engineering, Biomechanics and Related Fields, pages 41-62. University of
Ulm, 2008. [ bib | .pdf 1 | Abstract ] |
[1] |
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,
November 2007. [ bib | DOI | .pdf 1 ] |
[2] |
L. Bar, B. Berkels, M. Rumpf, and G. Sapiro.
A variational framework for simultaneous motion estimation and
restoration of motion-blurred video.
In 11th IEEE International Conference on Computer Vision. IEEE,
2007. [ bib | DOI | .pdf 1 ] |
[3] |
B. Berkels, A. Rätz, M. Rumpf, and A. Voigt.
Identification of grain boundary contours at atomic scale.
In First International Conference on Scale Space Methods and
Variational Methods in Computer Vision, volume 4485 of Lecture Notes in
Computer Science, pages 765-776. Springer, 2007. [ bib | DOI | .pdf 1 | Abstract ] |
[4] |
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 1 | Abstract ] |
[5] |
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 1 ] |
[6] |
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 1 ] |
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M. Droske and M. Rumpf.
Multi scale joint segmentation and registration of image morphology.
IEEE Transactions on Pattern Recognition and Machine
Intelligence, 29(12):2181-2194, 2007. [ bib | .pdf 1 ] |
[8] |
M. Lenz.
Modellierung und Simulation des effektiven Verhaltens von
Grenzflächen in Metalllegierungen.
Dissertation, University Bonn, 2007. [ bib | http | .pdf 1 | Abstract ] |
[9] |
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, pages
171-180, 2007. [ bib | .pdf 1 | Abstract ] |
[10] |
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 1 | Abstract ] |
[11] |
T. Preusser, M. Rumpf, and L. O. Schwen.
Finite element simulation of bone microstructures.
In 14th Workshop on the Finite Element Method in Biomedical
Engineering, Biomechanics and Related Fields, pages 52-66. University of
Ulm, 2007. [ bib | .pdf 1 | Abstract ] |
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M. Teusner.
Variationsmethoden höherer Ordnung zur
Flächenbearbeitung (variational methods of higher order for surface
processing).
Diploma thesis, University Bonn, 2007. [ bib | .pdf 1 ] |
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A. E. Lefohn, J. Kniss, R. Strzodka, S. Sengupta, and J. D. Owens.
Glift: An abstraction for generic, efficient GPU data structures.
Technical report, Oct 2006.
ACM Transacitons on Graphics, 25 (1) 2006. [ bib | .pdf 1 ] |
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B. Berkels, M. Burger, M. Droske, O. Nemitz, and M. Rumpf.
Cartoon extraction based on anisotropic image classification.
In Vision, Modeling and Visualization, pages 293-300. AKA
Publishing, 2006. [ bib | .pdf 1 ] |
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U. Clarenz, M. Droske, S. Henn, M. Rumpf, and K. Witsch.
Computational methods for nonlinear image registration.
In O. Scherzer, editor, Mathematical Models for Registration and
Applications to Medical Imaging, Mathematics in Industry, volume 10, 2006. [ bib | .pdf 1 | Abstract ] |
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M. Droske, C. Garbe, T. Preußer, M. Rumpf, and A. Telea.
A variational approach to joint denoising, edge detection and motion
estimation.
In 28th DAGM Symposium on Pattern Recognition, volume 4174 of
Lecture Notes in Computer Science, pages 525-535. Springer, 2006. [ bib | .pdf 1 ] |
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M. Droske and W. Ring.
A Mumford-Shah level-set approach for geometric image
registration.
SIAM Journal on Applied Mathematics, 66(6):2127-2148, 2006. [ bib | .pdf 1 ] |
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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 1 ] |
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H. Gonska, D. Kacsó, O. Nemitz, and P. Pitul.
Piecewise linear interpolation revisited: BLaC-wavelets.
Studia Univ. “BABES-BOLYAI”, Mathematica, 2006. [ bib | .pdf 1 ] |
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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, pages 246-250.
Springer, 2006. [ bib | DOI | .pdf 1 ] |
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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 1 ] |
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D. Göddeke, R. Strzodka, and S. Turek.
Accelerating double precision FEM simulations with GPUs.
In Proceedings of ASIM 2005 - 18th Syposium on Simulation
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U. Clarenz, M. Droske, S. Henn, M. Rumpf, and K. Witsch.
Computational methods for nonlinear image registration.
DFG Schwerpunktprogramm 1114, Preprint 79, Januar 2005. [ bib | .pdf 1 ] |
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B. Berkels.
Gradientenflussmethoden bei inversen Problemen in der
Fernerkennung.
Diploma thesis, University of Duisburg-Essen, 2005. [ bib | .pdf 1 ] |
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M. Droske.
On Variational Problems and Gradient Flows in Image Processing.
Dissertation, University Duisburg, 2005. [ bib | .pdf 1 ] |
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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 1 ] |
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N. Litke, M. Droske, M. Rumpf, and P. Schröder.
An image processing approach to surface matching.
In Proc. of Eurographics Symposium on Geometry Processing,
pages 207-216, 2005. [ bib | Abstract ] |
[7] |
S. Noelle, W. Rosenbaum, and M. Rumpf.
Analysis and numerics for conservation laws, chapter
Multidimensional adaptive staggered grids, pages 479-493.
Springer, Berlin, 2005. [ bib ] |
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N. Olischläger.
Optimale konforme Parametrisierungen von topologischen
Sphären.
Diploma thesis, University Duisburg, 2005. [ bib | .pdf 1 ] |
[9] |
M. Pach.
Levelsetverfahren in der Shapeoptimierung.
Diploma thesis, University Duisburg, 2005. [ bib | .pdf 1 ] |
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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 ] |
[11] |
L. O. Schwen.
Numerical simulation of transport and diffusion in drainage media.
Diploma thesis, Duisburg-Essen University, 2005. [ bib | .pdf 1 | Abstract ] |
[1] |
P. Bastian, M. Droske, C. Engwer, R. Klöfkorn, 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, 15th International Conference on Domain
Decomposition Methods, Vol. 40, Lecture notes in Computational Science and
Engineering, 2004. [ bib | .pdf 1 | Abstract ] |
[2] |
B. Berkels, U. Clarenz, S. Crewell, U. Löhnert, 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 1 | Abstract ] |
[3] |
U. Clarenz.
The Wulff-shape minimizes an anisotropic Willmore functional.
Interfaces and Free Boundaries, 6(3):351-359, 2004. [ bib | .pdf 1 | Abstract ] |
[4] |
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 1 | Abstract ] |
[5] |
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 1 | Abstract ] |
[6] |
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 1 | Abstract ] |
[7] |
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 1 | Abstract ] |
[8] |
U. Clarenz, N. Litke, and M. Rumpf.
Axioms and variational problems in surface parameterization.
Comput. Aided Geom. Design, 21(8):727-749, 2004. [ bib | .pdf 1 | Abstract ] |
[9] |
U. Clarenz and H. von der Mosel.
On surfaces of prescribed f-mean curvature.
Pacific Journal of Mathematics, 213(1):15-36, 2004. [ bib | .pdf 1 | Abstract ] |
[10] |
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 1 | Abstract ] |
[11] |
U. Clarenz, M. Rumpf, and A. Telea.
Fairing of point based surfaces.
In Computer Graphics International, pages 600-603, 2004. [ bib | .pdf 1 | Abstract ] |
[12] |
U. Clarenz, M. Rumpf, and A. Telea.
Finite elements on point based surfaces.
In Eurographics Symposium of Point Based Graphics, 2004. [ bib | Abstract ] |
[13] |
U. Clarenz, M. Rumpf, and A. Telea.
Surface processing methods for point sets using finite elements.
Computers & Graphics, 28(6):851-868, 2004. [ bib ] |
[14] |
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 1 | Abstract ] |
[15] |
M. Droske and M. Rumpf.
A level set formulation for Willmore flow.
Interfaces and Free Boundaries, 6(3):361-378, 2004. [ bib | .pdf 1 | Abstract ] |
[16] |
M. Griebel, T. Preußer, M. Rumpf, A. Schweitzer, and A. Telea.
Flow field clustering via algebraic multigrid.
In Visualization. IEEE CS Press, 2004. [ bib | .pdf 1 | Abstract ] |
[17] |
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 1 | Abstract ] |
[18] |
F. Liehr.
Ein effizienter Löser für elastische Mikrostrukturen.
Diploma thesis, University Duisburg, 2004. [ bib ] |
[19] |
R. Strzodka.
Hardware Efficient PDE Solvers in Quantized Image Processing.
Dissertation, University Duisburg, 2004. [ bib | .pdf 1 | Abstract ] |
[20] |
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 1 | Abstract ] |
[21] |
R. Strzodka and C. Garbe.
Real-time motion estimation and visualization on graphics cards.
In Proceedings Visualization Conference 2004, pages 545-552,
2004. [ bib | .pdf 1 | Abstract ] |
[22] |
R. Strzodka and A. Telea.
Generalized distance transforms and skeletons in graphics hardware.
In Proceedings of EG/IEEE TCVG Symposium on Visualization VisSym
'04, pages 221-230, 2004. [ bib | Abstract ] |
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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 1 | Abstract ] |
[2] |
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 1 ] |
[3] |
U. Clarenz.
A stability criterion for extremals of elliptic parametric
functionals.
Pacific Journal of Mathematics, 208(2):231-242, 2003. [ bib | .pdf 1 | Abstract ] |
[4] |
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. [ bib | Abstract ] |
[5] |
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 1 | Abstract ] |
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M. Droske, M. Rumpf, and C. Schaller.
Non-rigid morphological registration and its practical issues.
In IEEE International Conference on Image Processing, pages II:
699-702, 2003. [ bib | .pdf 1 | Abstract ] |
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H. Garcke, S. Maier-Paape, and U. Weikard.
Spinodal decomposition in the presence of elastic interactions, 2003. [ bib | .pdf 1 ] |
[8] |
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 1 | Abstract ] |
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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 ] |
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K. Mikula, T. Preußer, and M. Rumpf.
Morphological image sequence processing.
Computing and Visualization in Science, 6(4):197-209, 2003. [ bib | .pdf 1 | Abstract ] |
[11] |
T. Preußer and M. Rumpf.
Extracting motion velocities from 3D image sequences.
In SPIE Conference on Visualization and Data Analysis, 2003. [ bib | .pdf 1 | Abstract ] |
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T. Preusser.
Anisotropic geometric diffusion in image and image-sequence
processing.
Dissertation, University Duisburg, 2003. [ bib | .pdf 1 | Abstract ] |
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R. Strzodka, I. Ihrke, and M. Magnor.
A graphics hardware implementation of the generalized hough transform
for fast object recognition, scale, and 3d pose detection.
In International Conference on Image Analysis and Processing
(ICIAP 2003), pages 188-193, 2003. [ bib | Abstract ] |
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O. Wilderotter.
An adaptive numerical method for the Richards equation with root
growth.
Plant and Soil, 251(2):255-267, 2003. [ bib | .pdf 1 | Abstract ] |
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R. Strzodka.
Image processing on the XPP.
http://numod.ins.uni-bonn.de/research/papers/public/St02XPP.pdf, Aug.
2002.
Evaluation study. [ bib | .pdf 1 ] |
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J. Becker, G. Grün, and M. Rumpf.
On space-time-adaptive convergent finite-element schemes for a
general class of lubrication -type equations.
In World Congress on Computational Mechanics, 2002. [ bib | Abstract ] |
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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 ] |
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U. Clarenz.
Enclosure theorems for extremals of elliptic parametric functionals.
Calculus of Variations, 15:313-324, 2002. [ bib | .pdf 1 | Abstract ] |
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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 1 | Abstract ] |
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U. Clarenz, S. Henn, M. Rumpf, and K. Witsch.
Relations between optimization and gradient flow methods with
applications to image registration.
In GAMM Seminar on Multigrid and Related Methods for
Optimisation Problems, pages 11-30, 2002. [ bib | .pdf 1 | Abstract ] |
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U. Clarenz and H. von der Mosel.
Isoperimetric inequalities for parametric variational problems.
Ann. I. H. Poincaré - AN, 19(5):617-629, 2002. [ bib | .pdf 1 | Abstract ] |
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U. Diewald, S. Morigi, and M. Rumpf.
A cascadic geometric filtering approach to subdivision.
Computer Aided Geometric Design, 19:675-694, 2002. [ bib | .pdf 1 | Abstract ] |
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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 1 | Abstract ] |
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S. Klupsch, M. Ernst, S. A. Huss, M. Rumpf, and R. Strzodka.
Real time image processing based on reconfigurablhimoe hardware
acceleration.
In Heterogeneous reconfigurable Systems on Chip, 2002. [ bib | .pdf 1 | Abstract ] |
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M. Lenz.
Finite Volumen Methoden für degenerierte parabolische
Systeme - Ausbreitung eines Surfactant auf einem dünnen
Flüssigkeitsfilm.
Diploma thesis, University Bonn, 2002. [ bib | .pdf 1 | Abstract ] |
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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 1 | Abstract ] |
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M. Rumpf and A. Telea.
A continuous skeletonization method based on level sets.
In Eurographics/IEEE TCVG Symposium on Visualization, pages
151-157, 2002. [ bib | Abstract ] |
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R. Strzodka.
Virtual 16 bit precise operations on RGBA8 textures.
In Vision Modeling and Visualisation 2002, pages 171-178,
2002. [ bib | .pdf 1 | Abstract ] |
[1] |
D. Bürkle, T. Preußer, and M. Rumpf.
Transport and anisotropic diffusion in time-dependent flow
visualization.
In Visualization, 2001. [ bib | .pdf 1 | Abstract ] |
[2] |
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, Vision, Modeling and Visualization, pages 67-75, 2001. [ bib | .pdf 1 | Abstract ] |
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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 ] |
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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, Annual Symposium on
Information Processing in Medical Imaging. Springer, Lecture Notes Computer
Science, 2001. [ bib | .pdf 1 | Abstract ] |
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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 1 | Abstract ] |
[6] |
H. Garcke, M. Rumpf, and U. Weikard.
The Cahn-Hilliard equation with elasticity, finite element
approximation and qualitative analysis.
Interfaces and Free Boundaries, 3(1):101-118, 2001. [ bib | .pdf 1 | Abstract ] |
[7] |
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 ] |
[8] |
K. Mikula, T. Preußer, M. Rumpf, and F. Sgallari.
On anisotropic geometric diffusion in 3D image processing and image
sequence analysis.
In M. Kirkilionis, S. Krömker, R. Rannacher, and F. Tomi, editors,
Trends in Nonlinear Analysis, 2001. [ bib | .pdf 1 | Abstract ] |
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M. Rumpf and R. Strzodka.
Nonlinear diffusion in graphics hardware.
In Eurographics/IEEE TCVG Symposium on Visualization, pages
75-84, 2001. [ bib | Abstract ] |
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M. Rumpf and R. Strzodka.
Using graphics cards for quantized fem computations.
In VIIP Conference on Visualization and Image Processing, 2001. [ bib | .pdf 1 | Abstract ] |
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R. Strzodka and M. Rumpf.
Level set segmentation in graphics hardware.
In IEEE International Conference on Image Processing, pages
1103-1106, 2001. [ bib | .pdf 1 | Abstract ] |
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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 ] |
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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 1 | Abstract ] |
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U. Clarenz, U. Diewald, and M. Rumpf.
Nonlinear anisotropic diffusion in surface processing.
In B. H. T. Ertl and A. Varshney, editors, Visualization, pages
397-405, 2000. [ bib | .pdf 1 | Abstract ] |
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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,
Equadiff, pages 1015-1020. World Scientific, 2000. [ bib | Abstract ] |
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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 1 | Abstract ] |
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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,
Vision, Modeling and Visualization, pages 293-301, 2000. [ bib | .pdf 1 | Abstract ] |
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M. Droske, T. Preußer, and M. Rumpf.
A multilevel segmentation method.
In B. Girod, G. Greiner, H. Niemann, and H.-P. Seidel, editors,
Vision, Modeling and Visualization, pages 327-336, 2000. [ bib | .pdf 1 | Abstract ] |
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H. Garcke, T. Preußer, M. Rumpf, A. Telea, U. Weikard, and J. Van Wijk.
A continuous clustering method for vector fields.
In Visualization, pages 351-358. IEEE Computer Society, 2000. [ bib | .pdf 1 | Abstract ] |
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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 | DOI | http | Abstract ] |
[10] |
G. Grün and M. Rumpf.
Nonnegativity preserving convergent schemes for the thin film
equation.
Numerische Mathematik, 87:113-152, 2000. [ bib | .pdf 1 | Abstract ] |
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S. Noelle, W. Rosenbaum, and M. Rumpf.
An adaptive staggered grid scheme for conservation laws.
In H. Freistühler and G. Warnecke, editors, Hyperbolic
Problems: Theory, Numerics, Applications. Eighth International Conference,
volume 141 of International Series of Numerical Mathematics, pages
775-784, Basel, 2000. Birkhäuser. [ bib | .pdf 1 ] |
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T. Preußer and M. Rumpf.
An adaptive finite element method for large scale image processing.
Journal of Visual Communication and Image Representation,
11(2):183-195, 2000. [ bib | DOI | .pdf 1 | Abstract ] |
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D. Bürkle, M. Dellnitz, O. Junge, M. Rumpf, and M. Spielberg.
Visualizing complicated dynamics.
In Late Breaking Hot Topic Visualization 1999 Conference, pages
33-36, 1999. [ bib | .pdf 1 ] |
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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 1 | Abstract ] |
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T. Gerstner and M. Rumpf.
Multiresolutional parallel isosurface extraction based on tetrahedral
bisection.
In International Workshop on Volume Graphics. Springer, 1999. [ bib | .pdf 1 ] |
[4] |
G. Grün and M. Rumpf.
Entropy consistent finite volume schemes for the thin film equation.
In D. H. R. Vilsmeier, F. Benkhaldoun, editor, Finite Volumes
for Complex Applications II. Hermes Science Publications, Paris, 1999. [ bib ] |
[5] |
M. Ohlberger and M. Rumpf.
Adaptive projection operators in multiresolutional scientific
visualization.
IEEE Transactions on Visualization and Computer Graphics,
5-1(4):74-94, 1999. [ bib | .pdf 1 ] |
[6] |
T. Preußer and M. Rumpf.
Anisotropic nonlinear diffusion in flow visualization.
In Visualization, 1999. [ bib | .pdf 1 | Abstract ] |
[7] |
M. Rumpf.
Recent numerical methods - a challenge for data analysis and
visualization.
Future Generation Computer Systems, 15(1):43-58, 1999. [ bib ] |
[1] |
A. Backes, A. Dahr, and M. Rumpf.
Interactive visualization of particle systems.
In Computer Graphics International, pages 88-95. IEEE Computer
Society, 1998. [ bib ] |
[2] |
J. Becker and M. Rumpf.
Visualization of time-dependent velocity fields by texture transport.
In Eurographics Scientific Visualization Workshop '98.
Springer, 1998. [ bib ] |
[3] |
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 ] |
[4] |
M. Metscher and M. Rumpf.
Optimal searching on hierarchical grids based on local coordinates.
In GAMM Seminar on Concepts of Numerical Software. Vieweg,
1998. [ bib ] |
[1] |
M. Dellnitz, A. Hohmann, O. Junge, and M. Rumpf.
Exploring invariant sets and invariant measures.
Chaos, 7(2):221-228, 1997. [ bib | .pdf 1 ] |
[2] |
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 ] |
[3] |
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, pages 125-138. Springer, 1997. [ bib | .pdf 1 ] |
[4] |
M. Ohlberger and M. Rumpf.
Hierarchical and adaptive visualization on nested grids.
Computing, 59(4):365-385, 1997. [ bib ] |
[5] |
M. Rumpf.
The equilibrium state of an elastic solid in an incompressible fluid
flow.
In J. G. Heywood et al., editors, Theory of the Navier-Stokes
Equations, volume 47. World Scientific Publisher, 1997. [ bib ] |
[1] |
R. T. Happe and M. Rumpf.
Characterizing global features of simulation data by selected local
icons.
In Eurographics Workshop on Virtual environments and scientific
visualization '96, pages 234-242. Springer, 1996. [ bib ] |
[2] |
M. Rumpf.
A variational approach to optimal meshes.
Numerische Mathematik, 72(4):523-540, 1996. [ bib ] |
[3] |
M. Rumpf, A. Schmidt, and K. Siebert.
Functions defining arbitrary meshes, a flexible interface between
numerical data and visualization routines.
Comput. Graph. Forum, 15(2):129-141, 1996. [ bib | .pdf 1 ] |
[1] |
R. Kleinrensing and M. Rumpf.
Asynchronous local mesh adaption for domain decomposition methods.
Technical Report Preprint 5, Mathematische Fakultät, Freiburg,
1995. [ bib ] |
[2] |
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 1 ] |
[3] |
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 ] |
[4] |
M. Rumpf and B. Schupp.
Visualization of parallel data based on procedural access.
In Visualization and Mathematics, pages 197-ff. Springer,
1995. [ bib ] |
[5] |
M. Rumpf.
Adapting meshes by deformation, numerical examples and applications.
In GAMM Seminar on Fast Solvers for Flow Problems. Vieweg,
1994. [ bib ] |
[6] |
M. Rumpf and M. Wierse.
Visualization concepts for adaptive nonstationary flow.
In DFG Workshop on Visualisierung in Paderborn. World
Scientific Publisher, 1994. [ bib ] |
[7] |
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 ] |
[8] |
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 ] |
[9] |
M. Rumpf and A. Wierse.
GRAPE, Eine interaktive Umgebung für Visualisierung und
Numerik.
Informatik, Forschung und Entwicklung, 7:145-151, 1992. [ bib ] |
[10] |
K. Polthier and M. Rumpf.
WYSIWYO in differential geometry (what you see is where you
operate).
In Eurographics Workshop on Computer Graphics and Mathematics,
Genua, 1991. [ bib ] |