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This paper introduces a new learning-based method, NASM, for anisotropic surface meshing. Our key idea is to propose a graph neural network to embed an input mesh into a high-dimensional (high-d) Euclidean embedding space to preserve…

Computer Vision and Pattern Recognition · Computer Science 2024-11-04 Hongbo Li , Haikuan Zhu , Sikai Zhong , Ningna Wang , Cheng Lin , Xiaohu Guo , Shiqing Xin , Wenping Wang , Jing Hua , Zichun Zhong

The mesh flexibility offered by the virtual element method through the permission of arbitrary element geometries, and the seamless incorporation of `hanging' nodes, has made the method increasingly attractive in the context of adaptive…

Numerical Analysis · Mathematics 2024-07-19 Daniel van Huyssteen , Felipe Lopez Rivarola , Guillermo Etse , Paul Steinmann

Modern computational methods, involving highly sophisticated mathematical formulations, enable several tasks like modeling complex physical phenomenon, predicting key properties and design optimization. The higher fidelity in these computer…

Computational Engineering, Finance, and Science · Computer Science 2023-04-13 Lele Luan , Nesar Ramachandra , Sandipp Krishnan Ravi , Anindya Bhaduri , Piyush Pandita , Prasanna Balaprakash , Mihai Anitescu , Changjie Sun , Liping Wang

Despite stereo matching accuracy has greatly improved by deep learning in the last few years, recovering sharp boundaries and high-resolution outputs efficiently remains challenging. In this paper, we propose Stereo Mixture Density Networks…

Computer Vision and Pattern Recognition · Computer Science 2021-04-09 Fabio Tosi , Yiyi Liao , Carolin Schmitt , Andreas Geiger

Traditional approaches based on finite element analyses have been successfully used to predict the macro-scale behavior of heterogeneous materials (composites, multicomponent alloys, and polycrystals) widely used in industrial applications.…

Materials Science · Physics 2022-11-24 Rajat Arora

We propose a novel deep neural network methodology for density estimation on product Riemannian manifold domains. In our approach, the network directly parameterizes the unknown density function and is trained using a penalized maximum…

Machine Learning · Statistics 2026-01-01 William Consagra , Zhiling Gu , Zhengwu Zhang

The latest sheet stamping processes enable efficient manufacturing of complex shape structural components that have high stiffness to weight ratios, but these processes can introduce defects. To assist component design for stamping…

Machine Learning · Computer Science 2022-02-09 Hamid Reza Attar , Alistair Foster , Nan Li

Data-driven fault detection has been regarded as a 3D image segmentation task. The models trained from synthetic data are difficult to generalize in some surveys. Recently, training 3D fault segmentation using sparse manual 2D slices is…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Yimin Dou , Kewen Li , Jianbing Zhu , Timing Li , Shaoquan Tan , Zongchao Huang

For the numerical solution of shape optimization problems, particularly those constrained by partial differential equations (PDEs), the quality of the underlying mesh is of utmost importance. Particularly when investigating complex…

Optimization and Control · Mathematics 2025-10-14 Sebastian Blauth , Christian Leithäuser

We develop an all-hex meshing strategy for the interstitial space in beds of densely packed spheres that is tailored to turbulent flow simulations based on the spectral element method (SEM). The SEM achieves resolution through elevated…

Computational Engineering, Finance, and Science · Computer Science 2021-06-03 Yu-Hsiang Lan , Paul Fischer , Elia Merzari , Misun Min

In this paper we present a scalable approach for robustly computing a 3D surface mesh from multi-scale multi-view stereo point clouds that can handle extreme jumps of point density (in our experiments three orders of magnitude). The…

Computer Vision and Pattern Recognition · Computer Science 2017-05-03 Christian Mostegel , Rudolf Prettenthaler , Friedrich Fraundorfer , Horst Bischof

Hashing methods have been widely used for efficient similarity retrieval on large scale image database. Traditional hashing methods learn hash functions to generate binary codes from hand-crafted features, which achieve limited accuracy…

Computer Vision and Pattern Recognition · Computer Science 2017-11-08 Jian Zhang , Yuxin Peng

Pixel- and voxel-based representations of microstructures obtained from tomographic imaging methods is an established standard in computational materials science. The corresponding highly resolved, uniform discretitization in numerical…

Numerical Analysis · Mathematics 2019-08-27 Andreas Fischer , Bernhard Eidel

Current dynamic networks and dynamic pruning methods have shown their promising capability in reducing theoretical computation complexity. However, dynamic sparse patterns on convolutional filters fail to achieve actual acceleration in…

Computer Vision and Pattern Recognition · Computer Science 2021-03-25 Changlin Li , Guangrun Wang , Bing Wang , Xiaodan Liang , Zhihui Li , Xiaojun Chang

In the rapidly evolving field of 3D reconstruction, 3D Gaussian Splatting (3DGS) and 2D Gaussian Splatting (2DGS) represent significant advancements. Although 2DGS compresses 3D Gaussian primitives into 2D Gaussian surfels to effectively…

Computer Vision and Pattern Recognition · Computer Science 2024-07-17 Zhuoxiao Li , Shanliang Yao , Yijie Chu , Angel F. Garcia-Fernandez , Yong Yue , Eng Gee Lim , Xiaohui Zhu

In order to reduce the computational cost of the simulation of electromagnetic responses in geophysical settings that involve highly heterogeneous media, we develop a multiscale finite volume method with oversampling for the quasi-static…

Computational Physics · Physics 2016-10-10 Luz Angelica Caudillo Mata , Eldad Haber , Christoph Schwarzbach

Meshless methods are commonly used to determine numerical solutions to partial differential equations (PDEs) for problems involving free surfaces and/or complex geometries, approximating spatial derivatives at collocation points via local…

Numerical Analysis · Mathematics 2025-10-24 H. Broadley , J. R. C. King , S. J. Lind

Data reduction in storage systems is becoming increasingly important as an effective solution to minimize the management cost of a data center. To maximize data-reduction efficiency, existing post-deduplication delta-compression techniques…

Machine Learning · Computer Science 2022-02-23 Jisung Park , Jeoggyun Kim , Yeseong Kim , Sungjin Lee , Onur Mutlu

Finite element methods usually construct basis functions and quadrature rules for multidimensional domains via tensor products of one-dimensional counterparts. While straightforward, this approach results in integration spaces larger than…

Numerical Analysis · Mathematics 2026-01-09 Tomas Teijeiro , Pouria Behnoudfar , Jamie M. Taylor , David Pardo , Victor M. Calo

3D point cloud semantic segmentation is a challenging topic in the computer vision field. Most of the existing methods in literature require a large amount of fully labeled training data, but it is extremely time-consuming to obtain these…

Computer Vision and Pattern Recognition · Computer Science 2022-04-07 Shuang Deng , Qiulei Dong , Bo Liu , Zhanyi Hu