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08/28/2023
Two-Scale Finite Element Approximation of a Homogenized Plate Model
This paper studies the discretization of a homogenization and dimension ...
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02/28/2023
Parametrizing Product Shape Manifolds by Composite Networks
Parametrizations of data manifolds in shape spaces can be computed using...
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02/21/2023
Approximation of Splines in Wasserstein Spaces
This paper investigates a time discrete variational model for splines in...
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08/22/2022
Learning Low Bending and Low Distortion Manifold Embeddings: Theory and Applications
Autoencoders, which consist of an encoder and a decoder, are widely used...
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11/29/2021
Two-scale elastic shape optimization for additive manufacturing
In this paper, a two-scale approach for elastic shape optimization of fi...
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10/26/2021
Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces
In this paper, the numerical approximation of isometric deformations of ...
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08/02/2021
Splines for Image Metamorphosis
This paper investigates a variational model for splines in the image met...
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04/27/2021
Learning low bending and low distortion manifold embeddings
Autoencoders are a widespread tool in machine learning to transform high...
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03/03/2021
A Pessimistic Bilevel Stochastic Problem for Elastic Shape Optimization
We consider pessimistic bilevel stochastic programs in which the followe...
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10/19/2020
Mean curvature motion of point cloud varifolds
This paper investigates a discretization scheme for mean curvature motio...
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02/28/2020
On Material Optimisation for Nonlinearly Elastic Plates and Shells
This paper investigates the optimal distribution of hard and soft materi...
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02/28/2020
On Material Optimisation for Nonlinearly ElasticPlates and Shells
This paper investigates the optimal distribution of hard and soft materi...
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12/16/2019
Consistent Curvature Approximation on Riemannian Shape Spaces
We describe how to approximate the Riemann curvature tensor as well as s...
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12/03/2019
Geometry of martensite needles in shape memory alloys
We study the geometry of needle-shaped domains in shape-memory alloys. N...
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10/28/2019
Image Morphing in Deep Feature Spaces: Theory and Applications
This paper combines image metamorphosis with deep features. To this end,...
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08/30/2019
Geometric optimization using nonlinear rotation-invariant coordinates
Geometric optimization problems are at the core of many applications in ...
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03/22/2013
Cortical Surface Co-Registration based on MRI Images and Photos
Brain shift, i.e. the change in configuration of the brain after opening...
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10/02/2012