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Example-based mesh deformation methods are powerful tools for realistic shape editing. However, existing techniques typically combine all the example deformation modes, which can lead to overfitting, i.e. using a overly complicated model to…

Graphics · Computer Science 2017-09-06 Lin Gao , Yu-Kun Lai , Jie Yang , Ling-Xiao Zhang , Leif Kobbelt , Shihong Xia

We present parameter-interpolated dynamic mode decomposition (piDMD), a parametric reduced-order modeling framework that embeds known parameter-affine structure directly into the DMD regression step. Unlike existing parametric DMD methods…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Ananda Chakrabarti , Haitham H. Saleh , Indranil Nayak , Balasubramaniam Shanker , Fernando L. Teixeira , Debdipta Goswami

This study presents a meshless-based local reanalysis (MLR) method. The purpose of this study is to extend reanalysis methods to the Kriging interpolation meshless method due to its high efficiency. In this study, two reanalysis methods:…

Computational Engineering, Finance, and Science · Computer Science 2017-11-15 Zhenxing Cheng , Hu Wang

Stiffener layout optimization of complex surfaces is fulfilled within the framework of topology optimization. A combined parameterization method is developed in two aspects. One is to parameterize the material distribution of the stiffener…

Computational Engineering, Finance, and Science · Computer Science 2022-01-26 Weihong Zhang , Shengqi Feng

This paper presents an evaluation of efficient radial basis function mesh deformation for complex iced geometries. Given the high computational cost of mesh deformation, state-of-the-art radial basis function techniques are used for data…

Numerical Analysis · Mathematics 2021-07-30 Myles Morelli , Tommaso Bellosta , Alberto Guardone

In Evolutionary Robotics, evolutionary algorithms are used to co-optimize morphology and control. However, co-optimizing leads to different challenges: How do you optimize a controller for a body that often changes its number of inputs and…

Neural and Evolutionary Computing · Computer Science 2022-06-28 Mia-Katrin Kvalsund , Kyrre Glette , Frank Veenstra

We present HyperMorph, a learning-based strategy for deformable image registration that removes the need to tune important registration hyperparameters during training. Classical registration methods solve an optimization problem to find a…

Computer Vision and Pattern Recognition · Computer Science 2021-05-06 Andrew Hoopes , Malte Hoffmann , Bruce Fischl , John Guttag , Adrian V. Dalca

Simulations with an explicit description of intermolecular forces using electronic structure methods are still not feasible for many systems of interest. As a result, empirical methods such as force fields (FF) have become an established…

Chemical Physics · Physics 2022-06-02 Moritz Thürlemann , Lennard Böselt , Sereina Riniker

The ability to accurately produce geometries with specified properties is perhaps the most important characteristic of a manufacturing process. 3D printing is marked by exceptional design freedom and complexity but is also prone to…

Graphics · Computer Science 2025-02-04 Christos Margadji , Andi Kuswoyo , Sebastian W. Pattinson

An important step in shape optimization with partial differential equation constraints is to adapt the geometry during each optimization iteration. Common strategies are to employ mesh-deformation or re-meshing, where one or the other…

Numerical Analysis · Mathematics 2018-06-27 Jorgen S. Dokken , Simon W. Funke , August Johansson , Stephan Schmidt

We develop a new optimisation technique that combines multiresolution subdivision surfaces for boundary description with immersed finite elements for the discretisation of the primal and adjoint problems of optimisation. Similar to wavelets…

Numerical Analysis · Mathematics 2016-01-20 Kosala Bandara , Thomas Rüberg , Fehmi Cirak

A mesh-based parametrization is a parametrization of a geometric object that is defined solely from a mesh of the object, e.g., without an analytical expression or computer-aided design (CAD) representation of the object. In this work, we…

Computational Physics · Physics 2025-03-11 Alexander M. Perez Reyes , Matthew J. Zahr

Reactive molecular dynamics (MD) simulation is performed using a reactive force field (ReaxFF). To this end, we developed a new method to optimize the ReaxFF parameters based on a machine learning approach. This approach combines the…

Chemical Physics · Physics 2018-12-11 Hiroya Nakata , Shandan Bai

We present a fast learning-based algorithm for deformable, pairwise 3D medical image registration. Current registration methods optimize an objective function independently for each pair of images, which can be time-consuming for large…

Computer Vision and Pattern Recognition · Computer Science 2019-03-14 Guha Balakrishnan , Amy Zhao , Mert R. Sabuncu , John Guttag , Adrian V. Dalca

This paper describes a class of shape optimization problems for optical metamaterials comprised of periodic microscale inclusions composed of a dielectric, low-dimensional material suspended in a non-magnetic bulk dielectric. The shape…

Numerical Analysis · Mathematics 2024-01-08 Manaswinee Bezbaruah , Matthias Maier , Winnifried Wollner

Despite recent advances in geometric modeling, 3D mesh modeling still involves a considerable amount of manual labor by experts. In this paper, we introduce Mesh Draping: a neural method for transferring existing mesh structure from one…

Graphics · Computer Science 2021-10-12 Amir Hertz , Or Perel , Raja Giryes , Olga Sorkine-Hornung , Daniel Cohen-Or

When numerically solving partial differential equations, for a given problem and operating condition, adaptive mesh refinement (AMR) has proven its efficiency to automatically build a discretization achieving a prescribed accuracy at low…

We suggest a novel shape matching algorithm for three-dimensional surface meshes of disk or sphere topology. The method is based on the physical theory of nonlinear elasticity and can hence handle large rotations and deformations.…

Computational Geometry · Computer Science 2015-07-29 Konrad Simon , Sameer Sheorey , David Jacobs , Ronen Basri

Curve and surface fairing is crucial in computer-aided geometric design, influencing product quality, physical performance, and aesthetics. Traditional methods often apply global modifications, lacking fine-grained control. This paper…

Graphics · Computer Science 2026-04-28 Jia Lin , Hongwei Lin , Weixian Huang , Azan Zhang

A grouping-circular-based (GCB) greedy algorithm is proposed to promote the efficiency of mesh deformation. By incorporating the multigrid concept that the computational errors on the fine mesh can be approximated with those on the coarse…

Numerical Analysis · Mathematics 2021-03-17 Hong Fang , He Zhang , Fanli Shan , Ming Tie , Xing Zhang , Jinghua Sun