12 citations · 69 across the 29 of their papers we have counts for
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A posteriori modeling error estimates in the optimization of two-scale elastic composite materials
Sergio Conti, Benedict Geihe, Martin Lenz +1
The a posteriori analysis of the discretization error and the modeling error is studied for a compliance cost functional in the context of the optimization of composite elastic mat…
Shape Aware Matching of Implicit Surfaces based on Thin Shell Energies
José A. Iglesias, Martin Rumpf, Otmar Scherzer
A shape sensitive, variational approach for the matching of surfaces considered as thin elastic shells is investigated. The elasticity functional to be minimized takes into account…
A Posteriori Error Control for the Binary Mumford-Shah Model
Benjamin Berkels, Alexander Effland, Martin Rumpf
The binary Mumford-Shah model is a widespread tool for image segmentation and can be considered as a basic model in shape optimization with a broad range of applications in compute…
A Functional and its Relaxation for Joint Motion Estimation and Image Sequence Recovery
Sergio Conti, Janusz Ginster, Martin Rumpf
The estimation of motion in an image sequence is a fundamental task in image processing. Frequently, the image sequence is corrupted by noise and one simultaneously asks for the un…
A generalized model for optimal transport of images including dissipation and density modulation
Jan Maas, Martin Rumpf, Carola Schönlieb +1
In this paper the optimal transport and the metamorphosis perspectives are combined. For a pair of given input images geodesic paths in the space of images are defined as minimizer…
A Nested Variational Time Discretization for Parametric Anisotropic Willmore Flow
Ricardo Perl, Paola Pozzi, Martin Rumpf
A variational time discretization of anisotropic Willmore flow combined with a spatial discretization via piecewise affine finite elements is presented. Here, both the energy and t…
On Isogeometric Subdivision Methods for PDEs on Surfaces
Bert Jüttler, Angelos Mantzaflaris, Ricardo Perl +1
Subdivision surfaces are proven to be a powerful tool in geometric modeling and computer graphics, due to the great flexibility they offer in capturing irregular topologies. This p…
Bézier curves in the space of images
Alexander Effland, Martin Rumpf, Stefan Simon +2
Bézier curves are a widespread tool for the design of curves in Euclidian space. This paper generalizes the notion of Bézier curves to the infinite-dimensional space of images. To…
Time Discrete Geodesic Paths in the Space of Images
Benjamin Berkels, Alexander Effland, Martin Rumpf
In this paper the space of images is considered as a Riemannian manifold using the metamorphosis approach, where the underlying Riemannian metric simultaneously measures the cost o…
Hysteresis in Magnetic Shape Memory Composites: Modeling and Simulation
Sergio Conti, Martin Lenz, Martin Rumpf
Magnetic shape memory alloys are characterized by the coupling between a structural phase transition and magnetic one. This permits to control the shape change via an external magn…
A posteriori error estimates for sequential laminates in shape optimization
Benedict Geihe, Martin Rumpf
A posteriori error estimates are derived in the context of two-dimensional structural elastic shape optimization under the compliance objective. It is known that the optimal shape…
3D Adaptive Central Schemes: part I Algorithms for Assembling the Dual Mesh
Sebastian Noelle, Wolfram Rosenbaum, Martin Rumpf
Central schemes are frequently used for incompressible and compressible flow calculations. The present paper is the first in a forthcoming series where a new approach to a 2nd orde…