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Triangulated meshes have become ubiquitous discrete-surface representations. In this paper we address the problem of how to maintain the manifold properties of a surface while it undergoes strong deformations that may cause topological…

Computer Vision and Pattern Recognition · Computer Science 2020-12-11 Andrei Zaharescu , Edmond Boyer , Radu Horaud

Parametric shape optimization aims at minimizing an objective function f(x) where x are CAD parameters. This task is difficult when f is the output of an expensive-to-evaluate numerical simulator and the number of CAD parameters is large.…

Machine Learning · Statistics 2021-05-06 David Gaudrie , Rodolphe Le Riche , Victor Picheny , Benoit Enaux , Vincent Herbert

Optimizing robotic action parameters is a significant challenge for manipulation tasks that demand high levels of precision and generalization. Using a model-based approach, the robot must quickly reason about the outcomes of different…

Robotics · Computer Science 2024-03-19 M. Yunus Seker , Oliver Kroemer

An efficient computational approach for optimal reconstruction of binary-type images suitable for models in various applications including biomedical imaging is developed and validated. The methodology includes derivative-free optimization…

Optimization and Control · Mathematics 2022-09-27 Paul R. Arbic , Vladislav Bukshtynov

We present the results of the application of a parameter space reduction methodology based on active subspaces (AS) to the hull hydrodynamic design problem. Several parametric deformations of an initial hull shape are considered to assess…

Numerical Analysis · Mathematics 2018-11-07 Marco Tezzele , Nicola Demo , Mahmoud Gadalla , Andrea Mola , Gianluigi Rozza

Aerodynamic shape optimization has established itself as a valuable tool in the engineering design process to achieve highly efficient results. A central aspect for such approaches is the mapping from the design parameters which encode the…

Computational Engineering, Finance, and Science · Computer Science 2019-10-17 Jakub Kmec , Sebastian Schmitt

Representing 3D shape deformations by linear models in high-dimensional space has many applications in computer vision and medical imaging, such as shape-based interpolation or segmentation. Commonly, using Principal Components Analysis a…

Computer Vision and Pattern Recognition · Computer Science 2016-05-12 Florian Bernard , Peter Gemmar , Frank Hertel , Jorge Goncalves , Johan Thunberg

In the context of the optimization of rotating electric machines, many different objective functions are of interest and considering this during the optimization is of crucial importance. While evolutionary algorithms can provide a Pareto…

Optimization and Control · Mathematics 2024-04-19 Alessio Cesarano , Peter Gangl

The development of materials with specific structural properties is of huge practical interest, for example, for medical applications or for the development of light weight structures in aeronautics. In this article, we combine shape…

Numerical Analysis · Mathematics 2021-06-01 Helmut Harbrecht , Michael Multerer , Remo von Rickenbach

We introduce a new approach for estimating the 3D pose and the 3D shape of an object from a single image. Given a training set of view exemplars, we learn and select appearance-based discriminative parts which are mapped onto the 3D model…

Computer Vision and Pattern Recognition · Computer Science 2015-02-03 Menglong Zhu , Xiaowei Zhou , Kostas Daniilidis

In this paper we investigate infinite horizon optimal control problems for parametrized partial differential equations. We are interested in feedback control via dynamic programming equations which is well-known to suffer from the curse of…

Optimization and Control · Mathematics 2018-10-02 Alessandro Alla , Bernard Haasdonk , Andreas Schmidt

We derive a model for the optimization of the bending and torsional rigidities of non-homogeneous elastic rods. This is achieved by studying a sharp interface shape optimization problem with perimeter penalization, that treats both…

Optimization and Control · Mathematics 2024-05-01 Patrick Dondl , Alberto Maione , Steve Wolff-Vorbeck

A variational framework, initially developed for high-order mesh optimisation, is being extended for r-adaptation. The method is based on the minimisation of a functional of the mesh deformation. To achieve adaptation, elements of the…

Computational Geometry · Computer Science 2019-01-07 Julian Marcon , Michael Turner , David Moxey , Spencer J. Sherwin , Joaquim Peiró

The current advances in generative AI for learning large neural network models with the capability to produce essays, images, music and even 3D assets from text prompts create opportunities for a manifold of disciplines. In the present…

Computation and Language · Computer Science 2023-07-06 Thiago Rios , Stefan Menzel , Bernhard Sendhoff

Compliant mechanisms achieve motion through elastic deformation. In this work, we address the synthesis of a compliant cross-hinge mechanism capable of large angular strokes while approximating the behavior of an ideal revolute joint. To…

Numerical Analysis · Mathematics 2025-04-24 Alexander Humer , Sebastian Platzer

We present MeshODE, a scalable and robust framework for pairwise CAD model deformation without prespecified correspondences. Given a pair of shapes, our framework provides a novel shape feature-preserving mapping function that continuously…

Graphics · Computer Science 2020-05-26 Jingwei Huang , Chiyu Max Jiang , Baiqiang Leng , Bin Wang , Leonidas Guibas

Inferring viscoelasticity parameters is a key challenge that often leads to non-unique solutions when fitting rheological data. In this context, we propose a machine learning approach that utilizes Bayesian optimization for parameter…

Soft Condensed Matter · Physics 2025-02-27 Isaac Y. Miranda-Valdez , Tero Mäkinen , Juha Koivisto , Mikko J. Alava

In this paper a phase-field approach for structural topology optimization for a 3D-printing process which includes stress constraint and potentially multiple materials or multiscales is analyzed. First order necessary optimality conditions…

Optimization and Control · Mathematics 2019-07-16 Ferdinando Auricchio , Elena Bonetti , Massimo Carraturo , Dietmar Hömberg , Alessandro Reali , Elisabetta Rocca

Finding the optimal design of a hydrodynamic or aerodynamic surface is often impossible due to the expense of evaluating the cost functions (say, with computational fluid dynamics) needed to determine the performances of the flows that the…

Computational Geometry · Computer Science 2022-11-15 Haris Moazam Sheikh , Tess A. Callan , Kealan J. Hennessy , Philip S. Marcus

Accurate mathematical models of aerodynamic properties play an important role in the aerospace field. In some cases, system parameters of an aircraft can be estimated reliably only via flight tests. In order to obtain meaningful…

Optimization and Control · Mathematics 2017-11-29 Giovanni Licitra , Adrian Bürger , Paul Williams , Richard Ruiterkamp , Moritz Diehl
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