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The cost and accuracy of simulating complex physical systems using the Finite Element Method (FEM) scales with the resolution of the underlying mesh. Adaptive meshes improve computational efficiency by refining resolution in critical…

Autoregressive models for 3D mesh generation suffer from a fundamental limitation: they flatten meshes into long vertex-coordinate sequences. This results in prohibitive computational costs, hindering the efficient synthesis of…

Computer Vision and Pattern Recognition · Computer Science 2026-03-04 Hanxiao Wang , Yuan-Chen Guo , Ying-Tian Liu , Zi-Xin Zou , Biao Zhang , Weize Quan , Ding Liang , Yan-Pei Cao , Dong-Ming Yan

Textured mesh quality assessment (TMQA) is critical for various 3D mesh applications. However, existing TMQA methods often struggle to provide accurate and robust evaluations. Motivated by the effectiveness of fields in representing both 3D…

Graphics · Computer Science 2025-05-19 Kaifa Yang , Qi Yang , Zhu Li , Yiling Xu

Many engineering systems require accurate simulations of complex physical systems. Yet, analytical solutions are only available for simple problems, necessitating numerical approximations such as the Finite Element Method (FEM). The cost…

Recent image-to-3D reconstruction models have greatly advanced geometry generation, but they still struggle to faithfully generate realistic appearance. To address this, we introduce ARM, a novel method that reconstructs high-quality 3D…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Xiang Feng , Chang Yu , Zoubin Bi , Yintong Shang , Feng Gao , Hongzhi Wu , Kun Zhou , Chenfanfu Jiang , Yin Yang

This paper considers flow problems in multiscale heterogeneous porous media. The multiscale nature of the modeled process significantly complicates numerical simulations due to the need to compute huge and ill-conditioned sparse matrices,…

Numerical Analysis · Mathematics 2024-10-16 Djulustan Nikiforov , Leonardo A. Poveda , Dmitry Ammosov , Yesy Sarmiento , Juan Galvis

Many real-world physics and engineering problems arise in geometrically complex domains discretized by meshes for numerical simulations. The nodes of these potentially irregular meshes naturally form point clouds whose limited tractability…

Machine Learning · Computer Science 2025-06-17 Shirin Hosseinmardi , Ramin Bostanabad

Despite recent progress, recovering parametric CAD construction sequences from geometric input, such as meshes or point clouds, is a key challenge for design and manufacturing, as existing CAD reconstruction and generation methods are…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Ghadi Nehme , Eamon Whalen , Faez Ahmed

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

A new field of numerical astrophysics is introduced which addresses the solution of large, multidimensional structural or slowly-evolving problems (rotating stars, interacting binaries, thick advective accretion disks, four dimensional…

Astrophysics · Physics 2009-10-30 David L. Meier

Although polygon meshes have been a standard representation in geometry processing, their irregular and combinatorial nature hinders their suitability for learning-based applications. In this work, we introduce a novel learnable mesh…

Computer Vision and Pattern Recognition · Computer Science 2024-03-20 Nissim Maruani , Maks Ovsjanikov , Pierre Alliez , Mathieu Desbrun

With the emergence of neural radiance fields (NeRFs), view synthesis quality has reached an unprecedented level. Compared to traditional mesh-based assets, this volumetric representation is more powerful in expressing scene geometry but…

Computer Vision and Pattern Recognition · Computer Science 2023-03-29 Yuan-Chen Guo , Yan-Pei Cao , Chen Wang , Yu He , Ying Shan , Xiaohu Qie , Song-Hai Zhang

In this paper, we introduce the Phantom Domain Finite Element Method (PDFEM), a novel computational approach tailored for the efficient analysis of heterogeneous and composite materials. Inspired by fictitious domain methods, this method…

Numerical Analysis · Mathematics 2025-05-06 Tianlong He , Philippe Karamian-Surville , Daniel Choï

Directly generating 3D meshes, the default representation for 3D shapes in the graphics industry, using auto-regressive (AR) models has become popular these days, thanks to their sharpness, compactness in the generated results, and ability…

Graphics · Computer Science 2025-09-26 Jiabao Lei , Kewei Shi , Zhihao Liang , Kui Jia

Masked Image Modeling (MIM) has garnered significant attention in self-supervised learning, thanks to its impressive capacity to learn scalable visual representations tailored for downstream tasks. However, images inherently contain…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Wenzhao Xiang , Chang Liu , Hongyang Yu , Xilin Chen

In stress field analysis, the finite element analysis is a crucial approach, in which the mesh-density has a significant impact on the results. High mesh density usually contributes authentic to simulation results but costs more computing…

Computational Engineering, Finance, and Science · Computer Science 2021-04-20 Qingfeng Xu , Zhenguo Nie , Handing Xu , Haosu Zhou , Xinjun Liu

The emergence of large-scale pre-trained point cloud models has significantly advanced 3D scene understanding, but adapting these models to specific downstream tasks typically demands full fine-tuning, incurring high computational and…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Liyao Tang , Zhe Chen , Dacheng Tao

Some methods based on simple regularizing geometric element transformations have heuristically been shown to give runtime efficient and quality effective smoothing algorithms for meshes. We describe the mathematical framework and a…

Computational Geometry · Computer Science 2013-07-09 Dimitris Vartziotis , Benjamin Himpel

Surface reconstruction with preservation of geometric features is a challenging computer vision task. Despite significant progress in implicit shape reconstruction, state-of-the-art mesh extraction methods often produce aliased,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Natalia Soboleva , Olga Gorbunova , Maria Ivanova , Evgeny Burnaev , Matthias Nießner , Denis Zorin , Alexey Artemov

Simplifying complex 3D meshes is a crucial step in robotics applications to enable efficient motion planning and physics simulation. Common methods, such as approximate convex decomposition, represent a mesh as a collection of simple parts,…

Robotics · Computer Science 2025-09-30 Brandon Vu , Shameek Ganguly , Pushkar Joshi