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Triangular meshes are a widely used representation in the field of 3D modeling. In this paper, we present a novel approach for edge length-based linear subdivision on triangular meshes, along with two auxiliary techniques. We conduct a…

Graphics · Computer Science 2023-10-04 Junyi Shen

We present a learning based framework for mesh quality improvement on unstructured triangular and quadrilateral meshes. Our model learns to improve mesh quality according to a prescribed objective function purely via self-play reinforcement…

Computational Geometry · Computer Science 2023-09-14 Arjun Narayanan , Yulong Pan , Per-Olof Persson

Multiscale modeling and analysis of multiphysics coupling processes in highly heterogeneous media present significant challenges. In this paper, we propose a novel multiphysics embedding localized orthogonal decomposition (ME-LOD) method…

Numerical Analysis · Mathematics 2025-07-21 Yuzhou Nan , Yajun Wang , Changqing Ye , Xiaofei Guan

Fault tolerance is a prerequisite for scalable quantum computing. Architectures based on 2D topological codes are effective for near-term implementations of fault tolerance. To obtain high performance with these architectures, we require a…

Quantum Physics · Physics 2018-10-23 Ben Criger , Imran Ashraf

In this paper, we introduce a novel 3D mesh convolution-based autoencoder for geometry compression, able to deal with irregular mesh data without requiring neither preprocessing nor manifold/watertightness conditions. The proposed approach…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Germain Bregeon , Marius Preda , Radu Ispas , Titus Zaharia

Advancements in 3D curve skeletonization are accelerating progress across a wide range of applications. However, developing robust skeletonization algorithms that capture intricate object details remains challenging. Skeletonization via…

Graphics · Computer Science 2026-05-26 Jai Bardhan , Ramya Hebbalaguppe , Aravind Udupa

Single-view 3D object reconstruction is a fundamental and challenging computer vision task that aims at recovering 3D shapes from single-view RGB images. Most existing deep learning based reconstruction methods are trained and evaluated on…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Xianghui Yang , Guosheng Lin , Luping Zhou

Polygonal meshes provide an efficient representation for 3D shapes. They explicitly capture both shape surface and topology, and leverage non-uniformity to represent large flat regions as well as sharp, intricate features. This…

Machine Learning · Computer Science 2019-07-03 Rana Hanocka , Amir Hertz , Noa Fish , Raja Giryes , Shachar Fleishman , Daniel Cohen-Or

Trimming is a core technique in geometric modeling. Unfortunately, the resulting objects do not take the requirements of numerical simulations into account and yield various problems. This paper outlines principal issues of trimmed models…

Graphics · Computer Science 2019-02-05 Benjamin Marussig

Edge detection is a fundamental technique in various computer vision tasks. Edges are indeed effectively delineated by pixel discontinuity and can offer reliable structural information even in textureless areas. State-of-the-art heavily…

Computer Vision and Pattern Recognition · Computer Science 2024-01-05 Leng Kai , Zhang Zhijie , Liu Jie , Zed Boukhers , Sui Wei , Cong Yang , Li Zhijun

Fluid-structure interactions are a widespread phenomenon in nature. Although their numerical modeling have come a long way, the application of numerical design tools to these multiphysics problems is still lagging behind. Gradient-based…

Numerical Analysis · Mathematics 2021-09-27 Mohamed Abdelhamid , Aleksander Czekanski

A generalization of vector fields, referred to as N-direction fields or cross fields when N = 4, has been recently introduced and studied for geometry processing, with applications in quadrilateral (quad) meshing, texture mapping, and…

Computational Geometry · Computer Science 2018-11-09 Ryan Viertel , Braxton Osting

We propose an end-to-end pipeline to robustly generate high-quality, high-order and coarse quadrilateral meshes on CAD models. This kind of mesh enables the use of high-order analysis techniques such as high-order finite element methods or…

Computational Engineering, Finance, and Science · Computer Science 2021-08-06 Mattéo Couplet , Maxence Reberol , Jean-François Remacle

Many engineering failures in orientation-dependent systems are geometric failure modes: changing the geometry can eliminate what changing the material merely delays. The mono-monostatic property (exactly one stable equilibrium under…

Computational Engineering, Finance, and Science · Computer Science 2026-05-05 Vincent Wesley Couey

Recently, how to achieve precise image editing has attracted increasing attention, especially given the remarkable success of text-to-image generation models. To unify various spatial-aware image editing abilities into one framework, we…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Yueru Jia , Yuhui Yuan , Aosong Cheng , Chuke Wang , Ji Li , Huizhu Jia , Shanghang Zhang

Current quantization methods for LLMs predominantly rely on block-wise structures to maintain efficiency, often at the cost of representational flexibility. In this work, we demonstrate that element-wise quantization can be made as…

Machine Learning · Computer Science 2026-02-02 Pingzhi Tang , Ruijie Zhou , Fanxu Meng , Wenjie Pei , Muhan Zhang

The increasing deployment of powerful Multimodal Large Language Models (MLLMs), typically hosted on cloud platforms, urgently requires effective compression techniques to efficiently transmit signal inputs (e.g., images, videos) from edge…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Jinming Liu , Zhaoyang Jia , Jiahao Li , Bin Li , Xin Jin , Wenjun Zeng , Yan Lu

The isometric embedding of surfaces in three-dimensional space is fundamental to various physical systems, from elastic sheets to programmable materials. While continuous surfaces typically admit unique solutions under suitable boundary…

Disordered Systems and Neural Networks · Physics 2025-05-13 Kyungeun Kim , Christian D. Santangelo

Subdivision surfaces are proven to be a powerful tool in geometric modeling and computer graphics, due to the great flexibility they offer in capturing irregular topologies. This paper discusses the robust and efficient implementation of an…

Numerical Analysis · Mathematics 2015-03-13 Bert Jüttler , Angelos Mantzaflaris , Ricardo Perl , Martin Rumpf

Laser cutting is an old and multi-physical process that was quickly adopted by the metallurgical industry. However, this fast industrialisation has had a significant impact on quality control. Several studies have been carried out to…

Classical Physics · Physics 2025-11-03 Maria Ramard , Romain Laniel , Mathieu Miroir , Olivier Kerbrat