Martin Rumpf

Orcid: 0000-0001-6049-9390

According to our database1, Martin Rumpf authored at least 137 papers between 1992 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
A pessimistic bilevel stochastic problem for elastic shape optimization.
Math. Program., April, 2023

Two-Scale Elastic Shape Optimization for Additive Manufacturing.
Multiscale Model. Simul., March, 2023

Consistent Approximation of Interpolating Splines in Image Metamorphosis.
J. Math. Imaging Vis., January, 2023

Two-Scale Finite Element Approximation of a Homogenized Plate Model.
CoRR, 2023

Approximation of Splines in Wasserstein Spaces.
CoRR, 2023

An Elastic Basis for Spectral Shape Correspondence.
Proceedings of the ACM SIGGRAPH 2023 Conference Proceedings, 2023

The Variational Approach to the Flow of Sobolev-Diffeomorphisms Model.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2023

Parametrizing Product Shape Manifolds by Composite Networks.
Proceedings of the Eleventh International Conference on Learning Representations, 2023

2022
Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces.
SIAM J. Numer. Anal., October, 2022

Learning Low Bending and Low Distortion Manifold Embeddings: Theory and Applications.
CoRR, 2022

2021
Image Morphing in Deep Feature Spaces: Theory and Applications.
J. Math. Imaging Vis., 2021

A phase-field approach to variational hierarchical surface segmentation.
Comput. Aided Geom. Des., 2021

Splines for Image Metamorphosis.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2021

Learning Low Bending and Low Distortion Manifold Embeddings.
Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition Workshops, 2021

2020
Convergence of the Time Discrete Metamorphosis Model on Hadamard Manifolds.
SIAM J. Imaging Sci., 2020

Computation of optimal transport on discrete metric measure spaces.
Numerische Mathematik, 2020

Mean curvature motion of point cloud varifolds.
CoRR, 2020

On Material Optimisation for Nonlinearly Elastic Plates and Shells.
CoRR, 2020

Nonlinear Deformation Synthesis via Sparse Principal Geodesic Analysis.
Comput. Graph. Forum, 2020

Geometric optimization using nonlinear rotation-invariant coordinates.
Comput. Aided Geom. Des., 2020

Statistical shape analysis of tap roots: a methodological case study on laser scanned sugar beets.
BMC Bioinform., 2020

2019
Consistent Curvature Approximation on Riemannian Shape Spaces.
CoRR, 2019

Geometry of martensite needles in shape memory alloys.
CoRR, 2019

Elastic Correspondence between Triangle Meshes.
Comput. Graph. Forum, 2019

Joint reconstruction and classification of tumor cells and cell interactions in melanoma tissue sections with synthesized training data.
Int. J. Comput. Assist. Radiol. Surg., 2019

Solving Variational Problems Using Nonlinear Rotation-invariant Coordinates.
Proceedings of the Eurographics Symposium on Geometry Processing - Posters, 2019

Time Discrete Geodesics in Deep Feature Spaces for Image Morphing.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2019

2018
Image Extrapolation for the Time Discrete Metamorphosis Model: Existence and Applications.
SIAM J. Imaging Sci., 2018

Stochastic Dominance Constraints in Elastic Shape Optimization.
SIAM J. Control. Optim., 2018

Shape-Aware Matching of Implicit Surfaces Based on Thin Shell Energies.
Found. Comput. Math., 2018

Principal Geodesic Analysis in the Space of Discrete Shells.
Comput. Graph. Forum, 2018

Variational Networks for Joint Image Reconstruction and Classification of Tumor Immune Cell Interactions in Melanoma Tissue Sections.
Proceedings of the Bildverarbeitung für die Medizin 2018 - Algorithmen - Systeme, 2018

2017
Functional Thin Films on Surfaces.
IEEE Trans. Vis. Comput. Graph., 2017

A posteriori error control for the binary Mumford-Shah model.
Math. Comput., 2017

Smooth interpolation of key frames in a Riemannian shell space.
Comput. Aided Geom. Des., 2017

Transport Based Image Morphing with Intensity Modulation.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2017

Time Discrete Extrapolation in a Riemannian Space of Images.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2017

GPU-Based Image Geodesics for Optical Coherence Tomography.
Proceedings of the Bildverarbeitung für die Medizin 2017 - Algorithmen - Systeme, 2017

2016
Splines in the Space of Shells.
Comput. Graph. Forum, 2016

2015
Variational Methods in Shape Analysis.
Proceedings of the Handbook of Mathematical Methods in Imaging, 2015

Time Discrete Geodesic Paths in the Space of Images.
SIAM J. Imaging Sci., 2015

Modeling and Simulation of Sport Games, Sport Movements, and Adaptations to Training (Dagstuhl Seminar 15382).
Dagstuhl Reports, 2015

Bézier Curves in the Space of Images.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2015

Shell PCA: Statistical Shape Modelling in Shell Space.
Proceedings of the 2015 IEEE International Conference on Computer Vision, 2015

2014
Exploring the Geometry of the Space of Shells.
Comput. Graph. Forum, 2014

Co-registration of intra-operative brain surface photographs and pre-operative MR images.
Int. J. Comput. Assist. Radiol. Surg., 2014

2013
Discrete Geodesic Calculus in Shape Space and Applications in the Space of Viscous Fluidic Objects.
SIAM J. Imaging Sci., 2013

Risk averse elastic shape optimization with parametrized fine scale geometry.
Math. Program., 2013

Cortical Surface Co-Registration based on MRI Images and Photos
CoRR, 2013

A Thin Shell Approach to the Registration of Implicit Surfaces.
Proceedings of the 18th International Workshop on Vision, Modeling, and Visualization, 2013

Discrete Geodesic Regression in Shape Space.
Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2013

Co-Registration of Intra-Operative Photographs and Pre-Operative MR Images.
Proceedings of the Bildverarbeitung für die Medizin 2013 - Algorithmen - Systeme, 2013

2012
Discrete geodesic calculus in the space of viscous fluidic objects
CoRR, 2012

Time-Discrete Geodesics in the Space of Shells.
Comput. Graph. Forum, 2012

Marker-Less Reconstruction of Dense 4-D Surface Motion Fields Using Active Laser Triangulation for Respiratory Motion Management.
Proceedings of the Medical Image Computing and Computer-Assisted Intervention - MICCAI 2012, 2012

On Shape Optimization with Stochastic Loadings.
Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012

2011
3D Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients.
SIAM J. Sci. Comput., 2011

A Convergent Finite Volume Scheme for Diffusion on Evolving Surfaces.
SIAM J. Numer. Anal., 2011

Risk Averse Shape Optimization.
SIAM J. Control. Optim., 2011

A Continuum Mechanical Approach to Geodesics in Shape Space.
Int. J. Comput. Vis., 2011

An Elasticity-Based Covariance Analysis of Shapes.
Int. J. Comput. Vis., 2011

Sulci Detection in Photos of the Human Cortex Based on Learned Discriminative Dictionaries.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2011

Joint ToF Image Denoising and Registration with a CT Surface in Radiation Therapy.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2011

2010
An SL(2) Invariant Shape Median.
J. Math. Imaging Vis., 2010

Convex Relaxation for Grain Segmentation at Atomic Scale.
Proceedings of the 15th International Workshop on Vision, Modeling, and Visualization, 2010

Interactive Motion Segmentation.
Proceedings of the Pattern Recognition, 2010

2009
Finite Element Methods on Very Large, Dynamic Tubular Grid Encoded Implicit Surfaces.
SIAM J. Sci. Comput., 2009

Shape Optimization Under Uncertainty---A Stochastic Programming Perspective.
SIAM J. Optim., 2009

A Nonlinear Elastic Shape Averaging Approach.
SIAM J. Imaging Sci., 2009

An Elasticity Approach to Principal Modes of Shape Variation.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

Two Step Time Discretization of Willmore Flow.
Proceedings of the Mathematics of Surfaces XIII, 2009

Geodesics in Shape Space via Variational Time Discretization.
Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2009

Reconstructing Optical Flow Fields by Motion Inpainting.
Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2009

Flow Visualization via Partial Differential Equations.
Proceedings of the Mathematical Foundations of Scientific Visualization, 2009

2008
Extracting Grain Boundaries and Macroscopic Deformations from Images on Atomic Scale.
J. Sci. Comput., 2008

Shape Median Based on Symmetric Area Differences.
Proceedings of the 13th International Fall Workshop on Vision, Modeling, and Visualization, 2008

2007
Mumford-Shah Model for One-to-One Edge Matching.
IEEE Trans. Image Process., 2007

A Phase Field Method for Joint Denoising, Edge Detection, and Motion Estimation in Image Sequence Processing.
SIAM J. Appl. Math., 2007

Multiscale Joint Segmentation and Registration of Image Morphology.
IEEE Trans. Pattern Anal. Mach. Intell., 2007

Anisotropic Curvature Motion for Structure Enhancing Smoothing of 3D MR Angiography Data.
J. Math. Imaging Vis., 2007

Narrow Band Methods for PDEs on Very Large Implicit Surface.
Proceedings of the 12th International Fall Workshop on Vision, Modeling, and Visualization, 2007

Identification of Grain Boundary Contours at Atomic Scale.
Proceedings of the Scale Space and Variational Methods in Computer Vision, 2007

A Variational Framework for Simultaneous Motion Estimation and Restoration of Motion-Blurred Video.
Proceedings of the IEEE 11th International Conference on Computer Vision, 2007

2006
A Variational Approach to Joint Denoising, Edge Detection and Motion Estimation.
Proceedings of the Pattern Recognition, 2006

A Variational Framework for Joint Image Registration, Denoising and Edge Detection.
Proceedings of the Bildverarbeitung für die Medizin 2006, Algorithmen, Systeme, Anwendungen, Proceedings des Workshops vom 19., 2006

2005
An Image Processing Approach to Surface Matching.
Proceedings of the Third Eurographics Symposium on Geometry Processing, 2005

2004
Feature sensitive multiscale editing on surfaces.
Vis. Comput., 2004

Robust Feature Detection and Local Classification for Surfaces Based on Moment Analysis.
IEEE Trans. Vis. Comput. Graph., 2004

Processing textured surfaces via anisotropic geometric diffusion.
IEEE Trans. Image Process., 2004

A Variational Approach to Nonrigid Morphological Image Registration.
SIAM J. Appl. Math., 2004

Image Registration by a Regularized Gradient Flow. A Streaming Implementation in DX9 Graphics Hardware.
Computing, 2004

A new software for prediction of femoral neck fractures.
Comput. Methods Programs Biomed., 2004

Surface processing methods for point sets using finite elements.
Comput. Graph., 2004

Axioms and variational problems in surface parameterization .
Comput. Aided Geom. Des., 2004

A finite element method for surface restoration with smooth boundary conditions.
Comput. Aided Geom. Des., 2004

Flow Field Clustering via Algebraic Multigrid.
Proceedings of the 15th IEEE Visualization Conference, 2004

Finite Elements on Point Based Surfaces.
Proceedings of the 1st Symposium on Point Based Graphics, 2004

Surface Processing by Partial Differential Equation.
Proceedings of the 2004 Geometric Modeling and Processing (GMP 2004), 2004

Fairing of Point Based Surfaces.
Proceedings of the 2004 Computer Graphics International (CGI 2004), 16-19 June 2004, 2004

2003
Multiresolution Visualization of Higher Order Adaptive Finite Element Simulations.
Computing, 2003

Extracting motion velocities from 3D image sequences and coupled spatio-temporal smoothing.
Proceedings of the Visualization and Data Analysis 2003, 2003

Nonrigid morphological image registration & its practical issues.
Proceedings of the 2003 International Conference on Image Processing, 2003

Non-Rigid Morphological Image Registration.
Proceedings of the Bildverarbeitung für die Medizin 2003, Algorithmen - Systeme, 2003

2002
A Level Set Method for Anisotropic Geometric Diffusion in 3D Image Processing.
SIAM J. Appl. Math., 2002

A cascadic geometric filtering approach to subdivision.
Comput. Aided Geom. Des., 2002

A Continuous Skeletonization Method Based on Level Sets.
Proceedings of the 4th Joint Eurographics - IEEE TCVG Symposium on Visualization, 2002

A Multiscale Fairing Method for Textured Surfaces.
Proceedings of the Third International Workshop "Visualization and Mathematics", 2002

2001
A Phase Field Model for Continuous Clustering on Vector Fields.
IEEE Trans. Vis. Comput. Graph., 2001

On Geometric Evolution and Cascadic Multigrid in Subdivision.
Proceedings of the 6th International Fall Workshop on Vision, Modeling, and Visualization, 2001

Transport and Anisotropic Diffusion in Time-Dependent Flow Visualization.
Proceedings of the 12th IEEE Visualization Conference, 2001

Nonlinear Diffusion in Graphics Hardware.
Proceedings of the 3rd Joint Eurographics - IEEE TCVG Symposium on Visualization, 2001

Using Graphics Cards for Quantized FEM Computations.
Proceedings of the IASTED International Conference on Visualization, 2001

An Adaptive Level Set Method for Medical Image Segmentation.
Proceedings of the Information Processing in Medical Imaging, 2001

Level set segmentation in graphics hardware.
Proceedings of the 2001 International Conference on Image Processing, 2001

2000
Anisotropic Diffusion in Vector Field Visualization on Euclidean Domains and Surfaces.
IEEE Trans. Vis. Comput. Graph., 2000

Nonnegativity preserving convergent schemes for the thin film equation.
Numerische Mathematik, 2000

An Adaptive Finite Element Method for Large Scale Image Processing.
J. Vis. Commun. Image Represent., 2000

Error indicators for multilevel visualization and computing on nested grids.
Comput. Graph., 2000

A Multilevel Segmentation Method.
Proceedings of the 5th International Fall Workshop on Vision Modeling and Visualization, 2000

Visualization of Principal Curvature Directions by Anisotropic Diffusion.
Proceedings of the 5th International Fall Workshop on Vision Modeling and Visualization, 2000

A continuous clustering method for vector fields.
Proceedings of the 11th IEEE Visualization Conference, 2000

Anisotropic geometric diffusion in surface processing.
Proceedings of the 11th IEEE Visualization Conference, 2000

Multi-Resolutional Parallel Isosurface Extraction based on Tetrahedral Bisection.
Proceedings of the Volume Graphics, 2000

1999
Adaptive Projection Operators in Multiresolution Scientific Visualization.
IEEE Trans. Vis. Comput. Graph., 1999

Recent numerical methods - A challenge for efficient visualization.
Future Gener. Comput. Syst., 1999

Anisotropic Nonlinear Diffusion in Flow Visualization.
Proceedings of the 10th IEEE Visualization Conference, 1999

A Comparison of Error Indicators for Multilevel Visualization on Nested Grids.
Proceedings of the 1st Joint Eurographics, 1999

1998
An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation.
Math. Comput., 1998

Visualization of Time-Dependent Velocity Fields by Texture Transport.
Proceedings of the Visualization in Scientific Computing '98, 1998

Interactive Visualization of Particle Systems.
Proceedings of the Computer Graphics International Conference, 1998

1997
Hierarchical and Adaptive Visualization on Nested Grids.
Computing, 1997

Efficient Visualization of Large - Scale Data on Hierarchical Meshes.
Proceedings of the Visualization in Scientific Computing '97, 1997

Efficient Visualization of Data on Sparse Grids.
Proceedings of the Mathematical Visualization, Algorithms, Applications and Numerics, 1997

1996
Functions Defining Arbitrary Meshes - A Flexible Interface between Numerical Data and Visualization.
Comput. Graph. Forum, 1996

1995
On a Unified Visualization Approach for Data from Advanced Numerical Methods.
Proceedings of the Visualization in Scientific Computing '95, 1995

Visualization of Parallel Data based on Procedural Access.
Proceedings of the Visualization and Mathematics, 1995

1992
GRAPE - Eine objektorientierte Visualisierungs- und Numerikplattform.
Inform. Forsch. Entwickl., 1992


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