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We consider the task of generating realistic 3D shapes, which is useful for a variety of applications such as automatic scene generation and physical simulation. Compared to other 3D representations like voxels and point clouds, meshes are…

Graphics · Computer Science 2023-04-18 Zhen Liu , Yao Feng , Michael J. Black , Derek Nowrouzezahrai , Liam Paull , Weiyang Liu

Mesh is a fundamental representation of 3D assets in various industrial applications, and is widely supported by professional softwares. However, due to its irregular structure, mesh creation and manipulation is often time-consuming and…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Zhaoyang Lyu , Ben Fei , Jinyi Wang , Xudong Xu , Ya Zhang , Weidong Yang , Bo Dai

High-order quadrilateral meshes offer superior accuracy and computational efficiency in numerical simulations. However, existing methods struggle to simultaneously preserve boundary/interface features, ensure high quality, and achieve…

Graphics · Computer Science 2026-03-25 Yongjia Weng , Lufeng Liu , Zhonggui Chen , Xuan Zhou , Juan Cao

Geometrical Volume-of-Fluid (VoF) methods mainly support structured meshes, and only a small number of contributions in the scientific literature report results with unstructured meshes and three spatial dimensions. Unstructured meshes are…

Computational Physics · Physics 2024-02-07 Tomislav Maric , Douglas B. Kothe , Dieter Bothe

Despite the rapidly evolving field of computational electromagnetics, few open-source tools have managed to tackle the problem of automatic mesh generation for properly discretizing the problem of interest into a finite set of elements…

Signal Processing · Electrical Eng. & Systems 2022-09-22 Apostolos Spanakis-Misirlis

In this paper, we present a class of finite volume schemes for incompressible flow problems. The unknowns are collocated at the center of the control volumes, and the stability of the schemes is obtained by adding to the mass balance…

Numerical Analysis · Mathematics 2020-03-13 R. Eymard , R. Herbin , J. -C Latché , B Piar

Deep generative models have shown success in generating 3D shapes with different representations. In this work, we propose Neural Volumetric Mesh Generator(NVMG) which can generate novel and high-quality volumetric meshes. Unlike the…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Yan Zheng , Lemeng Wu , Xingchao Liu , Zhen Chen , Qiang Liu , Qixing Huang

CNN-based volumetric methods that label individual voxels now dominate the field of biomedical segmentation. However, 3D surface representations are often required for proper analysis. They can be obtained by post-processing the labeled…

Computer Vision and Pattern Recognition · Computer Science 2020-04-02 Udaranga Wickramasinghe , Edoardo Remelli , Graham Knott , Pascal Fua

3D meshes are a fundamental representation widely used in computer science and engineering. In robotics, they are particularly valuable because they capture objects in a form that aligns directly with how robots interact with the physical…

Robotics · Computer Science 2026-01-01 Qian Wang , Omar Abdellall , Tony Gao , Xiatao Sun , Daniel Rakita

In this work, we propose an automatic mesh generation algorithm, FlowMesher, which can be used to generate unstructured meshes for mesh domains in any shape with minimum (or even no) user intervention. The approach can generate high-quality…

Graphics · Computer Science 2021-03-11 Zhujiang Wang , Arun R. Srinivasa , J. N. Reddy , Adam Dubrowski

In this paper, we propose a novel unstructured mesh control volume method to deal with the space fractional derivative on arbitrarily shaped convex domains, which to the best of our knowledge is a new contribution to the literature.…

Numerical Analysis · Mathematics 2024-12-20 Libo Feng , Fawang Liu , Ian Turner

3D content creation has long been a complex and time-consuming process, often requiring specialized skills and resources. While recent advancements have allowed for text-guided 3D object and scene generation, they still fall short of…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Xingyi Li , Yizheng Wu , Jun Cen , Juewen Peng , Kewei Wang , Ke Xian , Zhe Wang , Zhiguo Cao , Guosheng Lin

Mesh generation remains a key technology in many areas where numerical simulations are required. As numerical algorithms become more efficient and computers become more powerful, the percentage of time devoted to mesh generation becomes…

Graphics · Computer Science 2022-10-19 Xinhai Chen , Jie Liu , Junjun Yan , Zhichao Wang , Chunye Gong

Recent progress in 3D object generation has greatly improved both the quality and efficiency. However, most existing methods generate a single mesh with all parts fused together, which limits the ability to edit or manipulate individual…

Computer Vision and Pattern Recognition · Computer Science 2025-06-12 Jiaxiang Tang , Ruijie Lu , Zhaoshuo Li , Zekun Hao , Xuan Li , Fangyin Wei , Shuran Song , Gang Zeng , Ming-Yu Liu , Tsung-Yi Lin

Manually creating 3D environments for AR/VR applications is a complex process requiring expert knowledge in 3D modeling software. Pioneering works facilitate this process by generating room meshes conditioned on textual style descriptions.…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Jonas Schult , Sam Tsai , Lukas Höllein , Bichen Wu , Jialiang Wang , Chih-Yao Ma , Kunpeng Li , Xiaofang Wang , Felix Wimbauer , Zijian He , Peizhao Zhang , Bastian Leibe , Peter Vajda , Ji Hou

In this work, we explore the idea that effective generative models for point clouds under the autoencoding framework must acknowledge the relationship between a continuous surface, a discretized mesh, and a set of points sampled from the…

Machine Learning · Computer Science 2019-12-10 Austin Dill , Chun-Liang Li , Songwei Ge , Eunsu Kang

Computational mathematics plays an increasingly important role in computational fluid dynamics (CFD). The aeronautics and aerospace re- search community is working on next generation of CFD capacity that is accurate, automatic, and fast. A…

Computational Geometry · Computer Science 2015-07-15 Guojun G Liao , Xi Chen , Xianxin Cai , Ben Hildebrand , Dion Fleitas

Mesh generation is of great value in various applications involving computer graphics and virtual content, yet designing generative models for meshes is challenging due to their irregular data structure and inconsistent topology of meshes…

Computer Vision and Pattern Recognition · Computer Science 2023-03-16 Zhaoyang Lyu , Jinyi Wang , Yuwei An , Ya Zhang , Dahua Lin , Bo Dai

This paper shows that lumped directed-area vectors at edges and dual control volumes required to implement the edge-based discretization can be computed without explicitly defining the dual control volume around each node for triangular and…

Numerical Analysis · Mathematics 2025-02-04 Hiroaki Nishikawa

We introduce Scan2Mesh, a novel data-driven generative approach which transforms an unstructured and potentially incomplete range scan into a structured 3D mesh representation. The main contribution of this work is a generative neural…

Computer Vision and Pattern Recognition · Computer Science 2019-04-03 Angela Dai , Matthias Nießner
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