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We give a global geometric decomposition of continuously differentiable vector fields on $\mathbb{R}^n$. More precisely, given a vector field of class $\mathcal{C}^{1}$ on $\mathbb{R}^{n}$, and a geometric structure on $\mathbb{R}^n$, we…

Dynamical Systems · Mathematics 2019-05-31 Razvan M. Tudoran

Vector extraction retrieves structured vector geometry from raster images, offering high-fidelity representation and broad applicability. Existing methods, however, are usually tailored to a single vector type (e.g., polygons, polylines,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-16 Yinglong Yan , Jun Yue , Shaobo Xia , Hanmeng Sun , Tianxu Ying , Chengcheng Wu , Sifan Lan , Min He , Pedram Ghamisi , Leyuan Fang

Self-supervised depth learning from monocular images normally relies on the 2D pixel-wise photometric relation between temporally adjacent image frames. However, they neither fully exploit the 3D point-wise geometric correspondences, nor…

Computer Vision and Pattern Recognition · Computer Science 2022-10-04 Kaichen Zhou , Lanqing Hong , Changhao Chen , Hang Xu , Chaoqiang Ye , Qingyong Hu , Zhenguo Li

We propose a Point-Voxel DeConvolution (PVDeConv) module for 3D data autoencoder. To demonstrate its efficiency we learn to synthesize high-resolution point clouds of 10k points that densely describe the underlying geometry of Computer…

Computer Vision and Pattern Recognition · Computer Science 2021-01-13 Kseniya Cherenkova , Djamila Aouada , Gleb Gusev

We propose a novel approach for 3D shape completion by synthesizing multi-view depth maps. While previous work for shape completion relies on volumetric representations, meshes, or point clouds, we propose to use multi-view depth maps from…

Computer Vision and Pattern Recognition · Computer Science 2019-09-24 Tao Hu , Zhizhong Han , Abhinav Shrivastava , Matthias Zwicker

Geometric deep learning has attracted significant attention in recent years, in part due to the availability of exotic data types for which traditional neural network architectures are not well suited. Our goal in this paper is to…

Computer Vision and Pattern Recognition · Computer Science 2020-03-09 Jose J. Bouza , Chun-Hao Yang , David Vaillancourt , Baba C. Vemuri

General Purpose Vision (GPV) systems are models that are designed to solve a wide array of visual tasks without requiring architectural changes. Today, GPVs primarily learn both skills and concepts from large fully supervised datasets.…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 Amita Kamath , Christopher Clark , Tanmay Gupta , Eric Kolve , Derek Hoiem , Aniruddha Kembhavi

Cross-View Geo-Localization (CVGL) involves determining the localization of drone images by retrieving the most similar GPS-tagged satellite images. However, the imaging gaps between platforms are often significant and the variations in…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Zhongwei Chen , Zhao-Xu Yang , Hai-Jun Rong

With the rapid development of 3D vision, point cloud has become an increasingly popular 3D visual media content. Due to the irregular structure, point cloud has posed novel challenges to the related research, such as compression,…

Computer Vision and Pattern Recognition · Computer Science 2023-06-02 Ziyu Shan , Qi Yang , Rui Ye , Yujie Zhang , Yiling Xu , Xiaozhong Xu , Shan Liu

Shape completion, the problem of estimating the complete geometry of objects from partial observations, lies at the core of many vision and robotics applications. In this work, we propose Point Completion Network (PCN), a novel…

Computer Vision and Pattern Recognition · Computer Science 2019-09-30 Wentao Yuan , Tejas Khot , David Held , Christoph Mertz , Martial Hebert

We introduce MV-DeepSimNets, a comprehensive suite of deep neural networks designed for multi-view similarity learning, leveraging epipolar geometry for training. Our approach incorporates an online geometry prior to characterize pixel…

Computer Vision and Pattern Recognition · Computer Science 2025-05-19 Mohamed Ali Chebbi , Ewelina Rupnik , Paul Lopes , Marc Pierrot-Deseilligny

Owing to the development of research on local aggregation operators, dramatic breakthrough has been made in point cloud analysis models. However, existing local aggregation operators in the current literature fail to attach decent…

Computer Vision and Pattern Recognition · Computer Science 2021-06-02 Haotian Hu , Fanyi Wang , Huixiao Le

Unified visual grounding pursues a simple and generic technical route to leverage multi-task data with less task-specific design. The most advanced methods typically present boxes and masks as vertex sequences to model referring detection…

Computer Vision and Pattern Recognition · Computer Science 2023-03-15 Zesen Cheng , Kehan Li , Peng Jin , Xiangyang Ji , Li Yuan , Chang Liu , Jie Chen

In the context of Concentrated Solar Power (CSP) plants, aerial images captured by drones present a unique set of challenges. Unlike urban or natural landscapes commonly found in existing datasets, solar fields contain highly reflective…

Computer Vision and Pattern Recognition · Computer Science 2025-08-04 M. A. Pérez-Cutiño , J. Valverde , J. Capitán , J. M. Díaz-Báñez

Learning universal graph representations across heterogeneous domains is difficult because graph datasets differ in topology, node-attribute semantics, feature dimensions, and even attribute availability. We propose GraphVec, a…

Machine Learning · Computer Science 2026-05-08 Qi Feng , Jicong Fan

PointNet has recently emerged as a popular representation for unstructured point cloud data, allowing application of deep learning to tasks such as object detection, segmentation and shape completion. However, recent works in literature…

Computer Vision and Pattern Recognition · Computer Science 2019-12-13 Vinit Sarode , Xueqian Li , Hunter Goforth , Yasuhiro Aoki , Animesh Dhagat , Rangaprasad Arun Srivatsan , Simon Lucey , Howie Choset

Stereo matching is a fundamental building block for many vision and robotics applications. An informative and concise cost volume representation is vital for stereo matching of high accuracy and efficiency. In this paper, we present a novel…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Gangwei Xu , Yun Wang , Junda Cheng , Jinhui Tang , Xin Yang

This paper addresses the problem of generating uniform dense point clouds to describe the underlying geometric structures from given sparse point clouds. Due to the irregular and unordered nature, point cloud densification as a generative…

Computer Vision and Pattern Recognition · Computer Science 2020-03-10 Yue Qian , Junhui Hou , Sam Kwong , Ying He

Anchor-based multi-view clustering (MVC) has received extensive attention due to its efficient performance. Existing methods only focus on how to dynamically learn anchors from the original data and simultaneously construct anchor graphs…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Yawei Chen , Huibing Wang , Jinjia Peng , Yang Wang

Scene text detection has witnessed rapid development in recent years. However, there still exists two main challenges: 1) many methods suffer from false positives in their text representations; 2) the large scale variance of scene texts…

Computer Vision and Pattern Recognition · Computer Science 2020-04-13 Yuxin Wang , Hongtao Xie , Zhengjun Zha , Mengting Xing , Zilong Fu , Yongdong Zhang