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This work is about ME, the Method of Ellipcenters. ME was recently introduced by these very authors as a first order accelerated scheme for unconstrained minimization. Its iterates are all centers of ellipses carefully designed to somehow…

Optimization and Control · Mathematics 2026-05-14 Roger Behling , Ramyro Correa , Eduarda Ferreira , Vincent Guigues

We give a generalized definition of stretch that simplifies the efficient construction of low-stretch embeddings suitable for graph algorithms. The generalization, based on discounting highly stretched edges by taking their $p$-th power for…

Data Structures and Algorithms · Computer Science 2014-02-07 Michael B. Cohen , Gary L. Miller , Jakub W. Pachocki , Richard Peng , Shen Chen Xu

Mesh offsetting plays an important role in discrete geometric processing. In this paper, we propose a parallel feature-preserving mesh offsetting framework with variable distance. Different from the traditional method based on distance and…

Graphics · Computer Science 2023-10-16 Hongyi Cao , Gang Xu , Renshu Gu , Jinlan Xu , Xiaoyu Zhang , Timon Rabczuk

In the context of additive manufacturing we present a novel technique for direct slicing of a dilated or eroded volume, where the input volume boundary is a triangle mesh. Rather than computing a 3D model of the boundary of the dilated or…

Graphics · Computer Science 2019-11-15 Sylvain Lefebvre

Recent advances in 3D vision have led to specialized models for either 3D understanding (e.g., shape classification, segmentation, reconstruction) or 3D generation (e.g., synthesis, completion, and editing). However, these tasks are often…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Peng Huang , Yifeng Chen , Zeyu Zhang , Hao Tang

Current 3D mesh steganography algorithms relying on geometric modification are prone to detection by steganalyzers. In traditional steganography, adaptive steganography has proven to be an efficient means of enhancing steganography…

Multimedia · Computer Science 2025-10-29 Yushu Zhang , Jiahao Zhu , Mignfu Xue , Xinpeng Zhang , Xiaochun Cao

We present a simple yet effective method for skeleton-free motion retargeting. Previous methods transfer motion between high-resolution meshes, failing to preserve the inherent local-part motions in the mesh. Addressing this issue, our…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Haoyu Wang , Shaoli Huang , Fang Zhao , Chun Yuan , Ying Shan

In this paper, we present a new framework for reducing the computational complexity of geometric vision problems through targeted reweighting of the cost functions used to minimize reprojection errors. Triangulation - the task of estimating…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Felix Rydell , Georg Bökman , Fredrik Kahl , Kathlén Kohn

The presented article contains a 3D mesh generation routine optimized with the Metropolis algorithm. The procedure enables to produce meshes of a prescribed volume V_0 of elements. The finite volume meshes are used with the Finite Element…

Computational Geometry · Computer Science 2011-03-31 Ilona D. Kosinska

Numerical homogenization for mechanical multiscale modeling by means of the finite element method (FEM) is an elegant way of obtaining structure-property relations, if the behavior of the constituents of the lower scale is well understood.…

Numerical Analysis · Mathematics 2025-08-07 Nils Lange , Geralf Hütter , Bjoern Kiefer

Streamline-based quad meshing algorithms use smooth cross fields to partition surfaces into quadrilateral regions by tracing cross field separatrices. In practice, re-entrant corners and misalignment of singularities lead to small regions…

Computational Geometry · Computer Science 2019-08-06 Ryan Viertel , Braxton Osting , Matthew Staten

Computational Fluid Dynamics (CFD) is a major sub-field of engineering. Corresponding flow simulations are typically characterized by heavy computational resource requirements. Often, very fine and complex meshes are required to resolve…

Machine Learning · Computer Science 2021-02-26 Keefe Huang , Moritz Krügener , Alistair Brown , Friedrich Menhorn , Hans-Joachim Bungartz , Dirk Hartmann

Simplifying the geometry of a CAD model using defeaturing techniques enables more efficient discretisation and subsequent simulation for engineering analysis problems. Understanding the effect this simplification has on the solution helps…

Numerical Analysis · Mathematics 2019-10-15 Navid Rahimi , Pierre Kerfriden , Frank C Langbein , Ralph R Martin

Converting a three-dimensional medical image into a 3D mesh that satisfies both the quality and fidelity constraints of predictive simulations and image-guided surgical procedures remains a critical problem. Presented is an image-to-mesh…

Graphics · Computer Science 2025-10-30 Fotis Drakopoulos , Kevin Garner , Christopher Rector , Nikos Chrisochoides

The generation of triangle meshes from point clouds, i.e. meshing, is a core task in computer graphics and computer vision. Traditional techniques directly construct a surface mesh using local decision heuristics, while some recent methods…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Mathias Vetsch , Sandro Lombardi , Marc Pollefeys , Martin R. Oswald

The rapidly evolving field of engineering design of functional surfaces necessitates sophisticated tools to manage the inherent complexity of high-dimensional design spaces. This survey paper offers a scoping review, i.e., a literature…

Optimization and Control · Mathematics 2025-04-09 Andrea Serani , Matteo Diez

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

Folding is emerging as a promising manufacturing process to transform flat materials into functional structures, offering efficiency by reducing the need for welding, gluing, and molding, while minimizing waste and enabling automation.…

Soft Condensed Matter · Physics 2025-10-20 João C. Neves , Bernardo R. Marques , Cristóvão S. Dias , Nuno A. M. Araújo

We propose an approach for approximating the partition function which is based on two steps: (1) computing the partition function of a simplified model which is obtained by deleting model edges, and (2) rectifying the result by applying an…

Machine Learning · Computer Science 2012-06-18 Arthur Choi , Adnan Darwiche

Existing auto-regressive mesh generation approaches suffer from ineffective topology preservation, which is crucial for practical applications. This limitation stems from previous mesh tokenization methods treating meshes as simple…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Gaochao Song , Zibo Zhao , Haohan Weng , Jingbo Zeng , Rongfei Jia , Shenghua Gao