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For linear elastic problems, it is well-known that mesh generation dominates the total analysis time. Different types of methods have been proposed to directly or indirectly alleviate this burden associated with mesh generation. We review…

Numerical Analysis · Mathematics 2012-11-01 H. Lian , S. P. A. Bordas , R. Sevilla , R. N. Simpson

We describe a simple geometric transformation of triangles which leads to an efficient and effective algorithm to smooth triangle and tetrahedral meshes. Our focus lies on the convergence properties of this algorithm: we prove the…

Numerical Analysis · Mathematics 2014-11-18 Dimitris Vartziotis , Doris Bohnet

The compression of geometric structures is a relatively new field of data compression. Since about 1995, several articles have dealt with the coding of meshes, using for most of them the following approach: the vertices of the mesh are…

Computational Geometry · Computer Science 2007-05-23 Olivier Devillers , Pierre-Maris Gandoin

Current video-to-4D methods struggle with complex topology changes, transparent materials, thin structures, and inner surfaces. We present Helix4D, a dynamic mesh generation framework by inheriting the expressive representation of Trellis2,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Jiraphon Yenphraphai , Jianqi Chen , Jian Wang , Gordon Qian , Sergey Tulyakov , Rameen Abdal , Raymond A. Yeh , Peter Wonka , Chaoyang Wang

In this paper, we present a feature-aware SPH method for the concurrent and automated isotropic unstructured mesh generation. Two additional objectives are achieved with the proposed method compared to the original SPH-based mesh generator…

Graphics · Computer Science 2021-02-03 Zhe Ji , Lin Fu , Xiangyu Hu , Nikolaus Adams

Recently, 3D assets created via reconstruction and generation have matched the quality of manually crafted assets, highlighting their potential for replacement. However, this potential is largely unrealized because these assets always need…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Yiwen Chen , Tong He , Di Huang , Weicai Ye , Sijin Chen , Jiaxiang Tang , Xin Chen , Zhongang Cai , Lei Yang , Gang Yu , Guosheng Lin , Chi Zhang

Meshes are fundamental representations of 3D surfaces. However, creating high-quality meshes is a labor-intensive task that requires significant time and expertise in 3D modeling. While a delicate object often requires over $10^4$ faces to…

Graphics · Computer Science 2024-12-13 Zekun Hao , David W. Romero , Tsung-Yi Lin , Ming-Yu Liu

Hexahedral meshes are widely used in simulation pipelines, yet automatic generation remains challenging for complex CAD geometries. Polycube-based hexahedral meshing is a representative approach due to its regular, parameterization-friendly…

Graphics · Computer Science 2026-05-21 Lu He , Qitao Deng , Junjiang Deng , Liangbin Deng , Yanjun Liang , Wenting Yang , Guoqiang Wang , Na Lei

We present TetGAN, a convolutional neural network designed to generate tetrahedral meshes. We represent shapes using an irregular tetrahedral grid which encodes an occupancy and displacement field. Our formulation enables defining…

Computer Vision and Pattern Recognition · Computer Science 2022-10-13 William Gao , April Wang , Gal Metzer , Raymond A. Yeh , Rana Hanocka

Mesh generation plays a crucial role in scientific computing. Traditional mesh generation methods, such as TFI and PDE-based methods, often struggle to achieve a balance between efficiency and mesh quality. To address this challenge,…

Machine Learning · Computer Science 2025-01-23 Jing Xiao , Xinhai Chen , Qingling Wang , Jie Liu

Meshes serve as a primary representation for 3D assets. Autoregressive mesh generators serialize faces into sequences and train on truncated segments with sliding-window inference to cope with memory limits. However, this mismatch breaks…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Junkai Lin , Hang Long , Huipeng Guo , Jielei Zhang , JiaYi Yang , Tianle Guo , Yang Yang , Jianwen Li , Wenxiao Zhang , Matthias Nießner , Wei Yang

Articulated 3D object generation is fundamental for creating realistic, functional, and interactable virtual assets which are not simply static. We introduce MeshArt, a hierarchical transformer-based approach to generate articulated 3D…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Daoyi Gao , Yawar Siddiqui , Lei Li , Angela Dai

We introduce MeshPad, a generative approach that creates 3D meshes from sketch inputs. Building on recent advances in artist-reminiscent triangle mesh generation, our approach addresses the need for interactive mesh creation. To this end,…

Graphics · Computer Science 2025-08-12 Haoxuan Li , Ziya Erkoc , Lei Li , Daniele Sirigatti , Vladyslav Rozov , Angela Dai , Matthias Nießner

We introduce a smoothing algorithm for triangle, quadrilateral, tetrahedral and hexahedral meshes whose centerpiece is a simple geometric triangle transformation. The first part focuses on the mathematical properties of the element…

Numerical Analysis · Mathematics 2017-08-29 Dimitris Vartziotis , Doris Bohnet

Mesh generation plays a crucial role in 3D content creation, as mesh is widely used in various industrial applications. Recent works have achieved impressive results but still face several issues, such as unrealistic patterns or pits on…

Computer Vision and Pattern Recognition · Computer Science 2025-04-09 Jiaqi Li , Ruowei Wang , Yu Liu , Qijun Zhao

Recent generative models can create visually plausible 3D representations of objects. However, the generation process often allows for implicit control signals, such as contextual descriptions, and rarely supports bold geometric distortions…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Changwoon Choi , Hyunsoo Lee , Clément Jambon , Yael Vinker , Young Min Kim

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

Polygon meshes are an efficient representation of 3D geometry, and are of central importance in computer graphics, robotics and games development. Existing learning-based approaches have avoided the challenges of working with 3D meshes,…

Graphics · Computer Science 2020-02-26 Charlie Nash , Yaroslav Ganin , S. M. Ali Eslami , Peter W. Battaglia

Geometric rounding of a mesh is the task of approximating its vertex coordinates by floating point numbers while preserving mesh structure. Geometric rounding allows algorithms of computational geometry to interface with numerical…

Computational Geometry · Computer Science 2018-05-10 Victor Milenkovic , Elisha Sacks

In the current practices of both industry and academia, the convergence and accuracy of finite element calculations are closely related to the methods and quality of mesh generation. For years, the research on high-quality mesh generation…

Graphics · Computer Science 2025-07-24 Hui Zhao