Martin Rumpf

Christoph Smoch

SIAM J. Numer. Anal., 2024

2023

A pessimistic bilevel stochastic problem for elastic shape optimization.

[BibT_eX]

[DOI]

Math. Program., April, 2023

Two-Scale Elastic Shape Optimization for Additive Manufacturing.

[BibT_eX]

[DOI]

Sergio Conti

Multiscale Model. Simul., March, 2023

Consistent Approximation of Interpolating Splines in Image Metamorphosis.

[BibT_eX]

[DOI]

Jorge Justiniano

Marko Rajkovic

J. Math. Imaging Vis., January, 2023

Approximation of Splines in Wasserstein Spaces.

[BibT_eX]

[DOI]

Jorge Justiniano

Matthias Erbar

CoRR, 2023

An Elastic Basis for Spectral Shape Correspondence.

[BibT_eX]

[DOI]

Proceedings of the ACM SIGGRAPH 2023 Conference Proceedings, 2023

The Variational Approach to the Flow of Sobolev-Diffeomorphisms Model.

[BibT_eX]

[DOI]

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2023

Parametrizing Product Shape Manifolds by Composite Networks.

[BibT_eX]

[DOI]

Proceedings of the Eleventh International Conference on Learning Representations, 2023

2022

Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces.

[BibT_eX]

[DOI]

Christoph Smoch

SIAM J. Numer. Anal., October, 2022

Learning Low Bending and Low Distortion Manifold Embeddings: Theory and Applications.

[BibT_eX]

[DOI]

CoRR, 2022

2021

Image Morphing in Deep Feature Spaces: Theory and Applications.

[BibT_eX]

[DOI]

J. Math. Imaging Vis., 2021

A phase-field approach to variational hierarchical surface segmentation.

[BibT_eX]

[DOI]

Janos Meny

Josua Sassen

Comput. Aided Geom. Des., 2021

Splines for Image Metamorphosis.

[BibT_eX]

[DOI]

Jorge Justiniano

Marko Rajkovic

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2021

Learning Low Bending and Low Distortion Manifold Embeddings.

[BibT_eX]

[DOI]

Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition Workshops, 2021

2020

Convergence of the Time Discrete Metamorphosis Model on Hadamard Manifolds.

[BibT_eX]

[DOI]

Sebastian Neumayer

SIAM J. Imaging Sci., 2020

Computation of optimal transport on discrete metric measure spaces.

[BibT_eX]

[DOI]

Numerische Mathematik, 2020

Mean curvature motion of point cloud varifolds.

[BibT_eX]

[DOI]

Blanche Buet

CoRR, 2020

On Material Optimisation for Nonlinearly Elastic Plates and Shells.

[BibT_eX]

[DOI]

Peter Hornung

CoRR, 2020

Nonlinear Deformation Synthesis via Sparse Principal Geodesic Analysis.

[BibT_eX]

[DOI]

Josua Sassen

Klaus Hildebrandt

Comput. Graph. Forum, 2020

Geometric optimization using nonlinear rotation-invariant coordinates.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2020

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

[BibT_eX]

[DOI]

BMC Bioinform., 2020

2019

Consistent Curvature Approximation on Riemannian Shape Spaces.

[BibT_eX]

[DOI]

CoRR, 2019

Geometry of martensite needles in shape memory alloys.

[BibT_eX]

[DOI]

CoRR, 2019

Elastic Correspondence between Triangle Meshes.

[BibT_eX]

[DOI]

Comput. Graph. Forum, 2019

Joint reconstruction and classification of tumor cells and cell interactions in melanoma tissue sections with synthesized training data.

[BibT_eX]

[DOI]

Int. J. Comput. Assist. Radiol. Surg., 2019

Solving Variational Problems Using Nonlinear Rotation-invariant Coordinates.

[BibT_eX]

[DOI]

Proceedings of the Eurographics Symposium on Geometry Processing - Posters, 2019

Time Discrete Geodesics in Deep Feature Spaces for Image Morphing.

[BibT_eX]

[DOI]

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2019

2018

Image Extrapolation for the Time Discrete Metamorphosis Model: Existence and Applications.

[BibT_eX]

[DOI]

Florian Schäfer

SIAM J. Imaging Sci., 2018

Stochastic Dominance Constraints in Elastic Shape Optimization.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2018

Shape-Aware Matching of Implicit Surfaces Based on Thin Shell Energies.

[BibT_eX]

[DOI]

José A. Iglesias

Otmar Scherzer

Found. Comput. Math., 2018

Principal Geodesic Analysis in the Space of Discrete Shells.

[BibT_eX]

[DOI]

Comput. Graph. Forum, 2018

Variational Networks for Joint Image Reconstruction and Classification of Tumor Immune Cell Interactions in Melanoma Tissue Sections.

[BibT_eX]

[DOI]

Proceedings of the Bildverarbeitung für die Medizin 2018 - Algorithmen - Systeme, 2018

2017

Functional Thin Films on Surfaces.

[BibT_eX]

[DOI]

IEEE Trans. Vis. Comput. Graph., 2017

A posteriori error control for the binary Mumford-Shah model.

[BibT_eX]

[DOI]

Math. Comput., 2017

Smooth interpolation of key frames in a Riemannian shell space.

[BibT_eX]

[DOI]

Pascal Huber

Ricardo Perl

Comput. Aided Geom. Des., 2017

Transport Based Image Morphing with Intensity Modulation.

[BibT_eX]

[DOI]

Jan Maas

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2017

Time Discrete Extrapolation in a Riemannian Space of Images.

[BibT_eX]

[DOI]

Steffen Schmitz-Valckenberg

Florian Schäfer

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2017

GPU-Based Image Geodesics for Optical Coherence Tomography.

[BibT_eX]

[DOI]

Proceedings of the Bildverarbeitung für die Medizin 2017 - Algorithmen - Systeme, 2017

2016

Splines in the Space of Shells.

[BibT_eX]

[DOI]

Comput. Graph. Forum, 2016

2015

Variational Methods in Shape Analysis.

[BibT_eX]

[DOI]

Proceedings of the Handbook of Mathematical Methods in Imaging, 2015

Time Discrete Geodesic Paths in the Space of Images.

[BibT_eX]

[DOI]

SIAM J. Imaging Sci., 2015

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

[BibT_eX]

[DOI]

Dagstuhl Reports, 2015

Bézier Curves in the Space of Images.

[BibT_eX]

[DOI]

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2015

Shell PCA: Statistical Shape Modelling in Shell Space.

[BibT_eX]

[DOI]

Proceedings of the 2015 IEEE International Conference on Computer Vision, 2015

2014

Exploring the Geometry of the Space of Shells.

[BibT_eX]

[DOI]

Comput. Graph. Forum, 2014

Co-registration of intra-operative brain surface photographs and pre-operative MR images.

[BibT_eX]

[DOI]

Int. J. Comput. Assist. Radiol. Surg., 2014

2013

Discrete Geodesic Calculus in Shape Space and Applications in the Space of Viscous Fluidic Objects.

[BibT_eX]

[DOI]

SIAM J. Imaging Sci., 2013

Risk averse elastic shape optimization with parametrized fine scale geometry.

[BibT_eX]

[DOI]

Math. Program., 2013

Cortical Surface Co-Registration based on MRI Images and Photos

[BibT_eX]

[DOI]

CoRR, 2013

A Thin Shell Approach to the Registration of Implicit Surfaces.

[BibT_eX]

[DOI]

Proceedings of the 18th International Workshop on Vision, Modeling, and Visualization, 2013

Discrete Geodesic Regression in Shape Space.

[BibT_eX]

[DOI]

Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2013

Co-Registration of Intra-Operative Photographs and Pre-Operative MR Images.

[BibT_eX]

[DOI]

Proceedings of the Bildverarbeitung für die Medizin 2013 - Algorithmen - Systeme, 2013

2012

Discrete geodesic calculus in the space of viscous fluidic objects

[BibT_eX]

[DOI]

Simplice Firmin Nemadjieu

CoRR, 2012

Time-Discrete Geodesics in the Space of Shells.

[BibT_eX]

[DOI]

Comput. Graph. Forum, 2012

Marker-Less Reconstruction of Dense 4-D Surface Motion Fields Using Active Laser Triangulation for Respiratory Motion Management.

[BibT_eX]

[DOI]

Proceedings of the Medical Image Computing and Computer-Assisted Intervention - MICCAI 2012, 2012

On Shape Optimization with Stochastic Loadings.

[BibT_eX]

[DOI]

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.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2011

A Convergent Finite Volume Scheme for Diffusion on Evolving Surfaces.

[BibT_eX]

[DOI]

Martin Lenz

SIAM J. Numer. Anal., 2011

Risk Averse Shape Optimization.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2011

A Continuum Mechanical Approach to Geodesics in Shape Space.

[BibT_eX]

[DOI]

Int. J. Comput. Vis., 2011

An Elasticity-Based Covariance Analysis of Shapes.

[BibT_eX]

[DOI]

Int. J. Comput. Vis., 2011

Sulci Detection in Photos of the Human Cortex Based on Learned Discriminative Dictionaries.

[BibT_eX]

[DOI]

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.

[BibT_eX]

[DOI]

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2011

2010

An SL(2) Invariant Shape Median.

[BibT_eX]

[DOI]

Gina Linkmann

J. Math. Imaging Vis., 2010

Convex Relaxation for Grain Segmentation at Atomic Scale.

[BibT_eX]

[DOI]

Proceedings of the 15th International Workshop on Vision, Modeling, and Visualization, 2010

Interactive Motion Segmentation.

[BibT_eX]

[DOI]

Proceedings of the Pattern Recognition, 2010

2009

Finite Element Methods on Very Large, Dynamic Tubular Grid Encoded Implicit Surfaces.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2009

Shape Optimization Under Uncertainty---A Stochastic Programming Perspective.

[BibT_eX]

[DOI]

SIAM J. Optim., 2009

A Nonlinear Elastic Shape Averaging Approach.

[BibT_eX]

[DOI]

SIAM J. Imaging Sci., 2009

An Elasticity Approach to Principal Modes of Shape Variation.

[BibT_eX]

[DOI]

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

Two Step Time Discretization of Willmore Flow.

[BibT_eX]

[DOI]

Nadine Olischläger

Proceedings of the Mathematics of Surfaces XIII, 2009

Geodesics in Shape Space via Variational Time Discretization.

[BibT_eX]

[DOI]

Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2009

Reconstructing Optical Flow Fields by Motion Inpainting.

[BibT_eX]

[DOI]

Proceedings of the Energy Minimization Methods in Computer Vision and Pattern Recognition, 2009

Flow Visualization via Partial Differential Equations.

[BibT_eX]

[DOI]

Tobias Preusser

Proceedings of the Mathematical Foundations of Scientific Visualization, 2009

2008

Extracting Grain Boundaries and Macroscopic Deformations from Images on Atomic Scale.

[BibT_eX]

[DOI]

J. Sci. Comput., 2008

Shape Median Based on Symmetric Area Differences.

[BibT_eX]

Gina Linkmann

Proceedings of the 13th International Fall Workshop on Vision, Modeling, and Visualization, 2008

2007

Mumford-Shah Model for One-to-One Edge Matching.

[BibT_eX]

[DOI]

IEEE Trans. Image Process., 2007

A Phase Field Method for Joint Denoising, Edge Detection, and Motion Estimation in Image Sequence Processing.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2007

Multiscale Joint Segmentation and Registration of Image Morphology.

[BibT_eX]

[DOI]

IEEE Trans. Pattern Anal. Mach. Intell., 2007

Anisotropic Curvature Motion for Structure Enhancing Smoothing of 3D MR Angiography Data.

[BibT_eX]

[DOI]

J. Math. Imaging Vis., 2007

Narrow Band Methods for PDEs on Very Large Implicit Surface.

[BibT_eX]

Proceedings of the 12th International Fall Workshop on Vision, Modeling, and Visualization, 2007

Identification of Grain Boundary Contours at Atomic Scale.

[BibT_eX]

[DOI]

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.

[BibT_eX]

[DOI]

Proceedings of the IEEE 11th International Conference on Computer Vision, 2007

2006

A Variational Approach to Joint Denoising, Edge Detection and Motion Estimation.

[BibT_eX]

[DOI]

Proceedings of the Pattern Recognition, 2006

A Variational Framework for Joint Image Registration, Denoising and Edge Detection.

[BibT_eX]

[DOI]

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.

[BibT_eX]

[DOI]

Proceedings of the Third Eurographics Symposium on Geometry Processing, 2005

2004

Feature sensitive multiscale editing on surfaces.

[BibT_eX]

[DOI]

Michael Griebel

Marc Alexander Schweitzer

Vis. Comput., 2004

Robust Feature Detection and Local Classification for Surfaces Based on Moment Analysis.

[BibT_eX]

[DOI]

IEEE Trans. Vis. Comput. Graph., 2004

Processing textured surfaces via anisotropic geometric diffusion.

[BibT_eX]

[DOI]

IEEE Trans. Image Process., 2004

A Variational Approach to Nonrigid Morphological Image Registration.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2004

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

[BibT_eX]

[DOI]

Computing, 2004

A new software for prediction of femoral neck fractures.

[BibT_eX]

[DOI]

Comput. Methods Programs Biomed., 2004

Surface processing methods for point sets using finite elements.

[BibT_eX]

[DOI]

Comput. Graph., 2004

Axioms and variational problems in surface parameterization .

[BibT_eX]

[DOI]

Nathan Litke

Comput. Aided Geom. Des., 2004

A finite element method for surface restoration with smooth boundary conditions.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2004

Flow Field Clustering via Algebraic Multigrid.

[BibT_eX]

[DOI]

Michael Griebel

Marc Alexander Schweitzer

Proceedings of the 15th IEEE Visualization Conference, 2004

Finite Elements on Point Based Surfaces.

[BibT_eX]

[DOI]

Proceedings of the 1st Symposium on Point Based Graphics, 2004

Surface Processing by Partial Differential Equation.

[BibT_eX]

[DOI]

Proceedings of the 2004 Geometric Modeling and Processing (GMP 2004), 2004

Fairing of Point Based Surfaces.

[BibT_eX]

[DOI]

Proceedings of the 2004 Computer Graphics International (CGI 2004), 16-19 June 2004, 2004

2003

Multiresolution Visualization of Higher Order Adaptive Finite Element Simulations.

[BibT_eX]

[DOI]

Computing, 2003

Extracting motion velocities from 3D image sequences and coupled spatio-temporal smoothing.

[BibT_eX]

[DOI]

Tobias Preusser

Proceedings of the Visualization and Data Analysis 2003, 2003

Nonrigid morphological image registration & its practical issues.

[BibT_eX]

[DOI]

Carlo Schaller

Proceedings of the 2003 International Conference on Image Processing, 2003

Non-Rigid Morphological Image Registration.

[BibT_eX]

[DOI]

Carlo Schaller

Proceedings of the Bildverarbeitung für die Medizin 2003, Algorithmen - Systeme, 2003

2002

A Level Set Method for Anisotropic Geometric Diffusion in 3D Image Processing.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2002

A cascadic geometric filtering approach to subdivision.

[BibT_eX]

[DOI]

Serena Morigi

Comput. Aided Geom. Des., 2002

A Continuous Skeletonization Method Based on Level Sets.

[BibT_eX]

[DOI]

Proceedings of the 4th Joint Eurographics - IEEE TCVG Symposium on Visualization, 2002

A Multiscale Fairing Method for Textured Surfaces.

[BibT_eX]

[DOI]

Proceedings of the Third International Workshop "Visualization and Mathematics", 2002

2001

A Phase Field Model for Continuous Clustering on Vector Fields.

[BibT_eX]

[DOI]

IEEE Trans. Vis. Comput. Graph., 2001

On Geometric Evolution and Cascadic Multigrid in Subdivision.

[BibT_eX]

[DOI]

Serena Morigi

Proceedings of the 6th International Fall Workshop on Vision, Modeling, and Visualization, 2001

Transport and Anisotropic Diffusion in Time-Dependent Flow Visualization.

[BibT_eX]

[DOI]

David Bürkle

Proceedings of the 12th IEEE Visualization Conference, 2001

Nonlinear Diffusion in Graphics Hardware.

[BibT_eX]

[DOI]

Proceedings of the 3rd Joint Eurographics - IEEE TCVG Symposium on Visualization, 2001

Using Graphics Cards for Quantized FEM Computations.

[BibT_eX]

Proceedings of the IASTED International Conference on Visualization, 2001

An Adaptive Level Set Method for Medical Image Segmentation.

[BibT_eX]

[DOI]

Proceedings of the Information Processing in Medical Imaging, 2001

Level set segmentation in graphics hardware.

[BibT_eX]

[DOI]

Proceedings of the 2001 International Conference on Image Processing, 2001

2000

Anisotropic Diffusion in Vector Field Visualization on Euclidean Domains and Surfaces.

[BibT_eX]

[DOI]

IEEE Trans. Vis. Comput. Graph., 2000

Nonnegativity preserving convergent schemes for the thin film equation.

[BibT_eX]

[DOI]

Günther Grün

Numerische Mathematik, 2000

An Adaptive Finite Element Method for Large Scale Image Processing.

[BibT_eX]

[DOI]

J. Vis. Commun. Image Represent., 2000

Error indicators for multilevel visualization and computing on nested grids.

[BibT_eX]

[DOI]

Thomas Gerstner

Ulrich Weikard

Comput. Graph., 2000

A Multilevel Segmentation Method.

[BibT_eX]

Proceedings of the 5th International Fall Workshop on Vision Modeling and Visualization, 2000

Visualization of Principal Curvature Directions by Anisotropic Diffusion.

[BibT_eX]

Proceedings of the 5th International Fall Workshop on Vision Modeling and Visualization, 2000

A continuous clustering method for vector fields.

[BibT_eX]

[DOI]

Proceedings of the 11th IEEE Visualization Conference, 2000

Anisotropic geometric diffusion in surface processing.

[BibT_eX]

[DOI]

Proceedings of the 11th IEEE Visualization Conference, 2000

Multi-Resolutional Parallel Isosurface Extraction based on Tetrahedral Bisection.

[BibT_eX]

[DOI]

Thomas Gerstner

Proceedings of the Volume Graphics, 2000

1999

Adaptive Projection Operators in Multiresolution Scientific Visualization.

[BibT_eX]

[DOI]

Mario Ohlberger

IEEE Trans. Vis. Comput. Graph., 1999

Recent numerical methods - A challenge for efficient visualization.

[BibT_eX]

[DOI]

Future Gener. Comput. Syst., 1999

Anisotropic Nonlinear Diffusion in Flow Visualization.

[BibT_eX]

[DOI]

Proceedings of the 10th IEEE Visualization Conference, 1999

A Comparison of Error Indicators for Multilevel Visualization on Nested Grids.

[BibT_eX]

[DOI]

Thomas Gerstner

Ulrich Weikard

Proceedings of the 1st Joint Eurographics, 1999

1998

An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation.

[BibT_eX]

[DOI]

Willy Dörfler

Math. Comput., 1998

Visualization of Time-Dependent Velocity Fields by Texture Transport.

[BibT_eX]

[DOI]

Joachim Becker

Proceedings of the Visualization in Scientific Computing '98, 1998

Interactive Visualization of Particle Systems.

[BibT_eX]

[DOI]

Andreas Backes

Armin Dahr

Proceedings of the Computer Graphics International Conference, 1998

1997

Hierarchical and Adaptive Visualization on Nested Grids.

[BibT_eX]

[DOI]

Mario Ohlberger

Computing, 1997

Efficient Visualization of Large - Scale Data on Hierarchical Meshes.

[BibT_eX]

[DOI]

Proceedings of the Visualization in Scientific Computing '97, 1997

Efficient Visualization of Data on Sparse Grids.

[BibT_eX]

[DOI]

Norbert Heußer

Proceedings of the Mathematical Visualization, Algorithms, Applications and Numerics, 1997

1996

Functions Defining Arbitrary Meshes - A Flexible Interface between Numerical Data and Visualization.

[BibT_eX]

[DOI]

Alfred Schmidt

Kunibert G. Siebert

Comput. Graph. Forum, 1996

1995

On a Unified Visualization Approach for Data from Advanced Numerical Methods.

[BibT_eX]

[DOI]

Alfred Schmidt

Kunibert G. Siebert

Proceedings of the Visualization in Scientific Computing '95, 1995

Visualization of Parallel Data based on Procedural Access.

[BibT_eX]

[DOI]

Bernhard Schupp

Proceedings of the Visualization and Mathematics, 1995

1992

GRAPE - Eine objektorientierte Visualisierungs- und Numerikplattform.

[BibT_eX]

Andreas Wierse