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The generalized winding number is an essential part of the geometry processing toolkit, allowing to quantify how much a given point is inside a surface, even when the surface has boundaries and noise. We propose a new universal method to…

Graphics · Computer Science 2025-09-16 Cedric Martens , Mikhail Bessmeltsev

Point cloud analysis (such as 3D segmentation and detection) is a challenging task, because of not only the irregular geometries of many millions of unordered points, but also the great variations caused by depth, viewpoint, occlusion, etc.…

Computer Vision and Pattern Recognition · Computer Science 2023-07-28 Tuo Feng , Wenguan Wang , Xiaohan Wang , Yi Yang , Qinghua Zheng

Point clouds and polygonal meshes are widely used when modeling real-world scenarios. Here, point clouds arise, for instance, from acquisition processes applied in various surroundings, such as reverse engineering, rapid prototyping, or…

Computational Geometry · Computer Science 2025-11-24 Henriette Lipschütz , Ulrich Reitebuch , Konrad Polthier , Martin Skrodzki

Recently, several networks that operate directly on point clouds have been proposed. There is significant utility in understanding their mechanisms to classify point clouds, which can potentially help diagnosing these networks and designing…

Computer Vision and Pattern Recognition · Computer Science 2020-09-02 Chen Ziwen , Wenxuan Wu , Zhongang Qi , Li Fuxin

Point cloud is often regarded as a discrete sampling of Riemannian manifold and plays a pivotal role in the 3D image interpretation. Particularly, rotation perturbation, an unexpected small change in rotation caused by various factors (like…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Xinyu Xu , Huazhen Liu , Feiming Wei , Huilin Xiong , Wenxian Yu , Tao Zhang

Over the past two decades, we have seen an exponentially increased amount of point clouds collected with irregular shapes in various areas. Motivated by the importance of solid modeling for point clouds, we develop a novel and efficient…

Computation · Statistics 2023-02-21 Xinyi Li , Shan Yu , Yueying Wang , Guannan Wang , Ming-Jun Lai , Li Wang

This paper presents a new method, Diffusing Winding Gradients (DWG), for reconstructing watertight 3D surfaces from unoriented point clouds. Our method exploits the alignment between the gradients of the generalized winding number (GWN)…

Graphics · Computer Science 2024-10-10 Weizhou Liu , Jiaze Li , Xuhui Chen , Fei Hou , Shiqing Xin , Xingce Wang , Zhongke Wu , Chen Qian , Ying He

In this paper, we propose a new distortion quantification method for point clouds, the multiscale potential energy discrepancy (MPED). Currently, there is a lack of effective distortion quantification for a variety of point cloud perception…

Computer Vision and Pattern Recognition · Computer Science 2022-10-12 Qi Yang , Yujie Zhang , Siheng Chen , Yiling Xu , Jun Sun , Zhan Ma

In recent years, deep learning-based point cloud normal estimation has made great progress. However, existing methods mainly rely on the PCPNet dataset, leading to overfitting. In addition, the correlation between point clouds with…

Computer Vision and Pattern Recognition · Computer Science 2024-06-25 Wei Jin , Jun Zhou , Nannan Li , Haba Madeline , Xiuping Liu

In recent years, three-dimensional point clouds are used increasingly to document natural environments. Each dataset contains a diverse set of objects, at varying shapes and sizes, distributed throughout the data and intricately intertwined…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Reuma Arav , Dennis Wittich , Franz Rottensteiner

Point clouds obtained from capture devices or 3D reconstruction techniques are often noisy and interfere with downstream tasks. The paper aims to recover the underlying surface of noisy point clouds. We design a novel model, NoiseTrans,…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Guangzhe Hou , Guihe Qin , Minghui Sun , Yanhua Liang , Jie Yan , Zhonghan Zhang

Natural language offers a highly intuitive interface for enabling localized fine-grained edits of 3D shapes. However, prior works face challenges in preserving global coherence while locally modifying the input 3D shape. In this work, we…

Graphics · Computer Science 2025-07-22 Etai Sella , Noam Atia , Ron Mokady , Hadar Averbuch-Elor

3D point clouds deep learning is a promising field of research that allows a neural network to learn features of point clouds directly, making it a robust tool for solving 3D scene understanding tasks. While recent works show that point…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Zhiyuan Zhang , Binh-Son Hua , Sai-Kit Yeung

This paper proposes an innovative approach to Hierarchical Edge Aware 3D Point Cloud Learning (HEA-Net) that seeks to address the challenges of noise in point cloud data, and improve object recognition and segmentation by focusing on edge…

Computer Vision and Pattern Recognition · Computer Science 2023-10-26 Lei Li

Downsampling and feature extraction are essential procedures for 3D point cloud understanding. Existing methods are limited by the inconsistent point densities of different parts in the point cloud. In this work, we analyze the limitation…

Computer Vision and Pattern Recognition · Computer Science 2022-12-06 Qi Wang , Sheng Shi , Jiahui Li , Wuming Jiang , Xiangde Zhang

In this paper, we propose a point cloud classification method based on graph neural network and manifold learning. Different from the conventional point cloud analysis methods, this paper uses manifold learning algorithms to embed point…

Computer Vision and Pattern Recognition · Computer Science 2020-10-19 Dinghao Yang , Wei Gao

Learning and selecting important points on a point cloud is crucial for point cloud understanding in various applications. Most of early methods selected the important points on 3D shapes by analyzing the intrinsic geometric properties of…

Computer Vision and Pattern Recognition · Computer Science 2023-05-11 Xinhai Liu , Zhizhong Han , Sanghuk Lee , Yan-Pei Cao , Yu-Shen Liu

Point cloud segmentation is a fundamental task in 3D. Despite recent progress on point cloud segmentation with the power of deep networks, current learning methods based on the clean label assumptions may fail with noisy labels. Yet, class…

Computer Vision and Pattern Recognition · Computer Science 2022-12-07 Shuquan Ye , Dongdong Chen , Songfang Han , Jing Liao

In recent years new application areas have emerged in which one aims to capture the geometry of objects by means of three-dimensional point clouds. Often the obtained data consist of a dense sampling of the object's surface, containing many…

Numerical Analysis · Mathematics 2019-10-01 Daniel Tenbrinck , Fjedor Gaede , Martin Burger

Learning-based point cloud registration methods can handle clean point clouds well, while it is still challenging to generalize to noisy, partial, and density-varying point clouds. To this end, we propose a novel point cloud registration…

Computer Vision and Pattern Recognition · Computer Science 2024-01-12 Leida Zhang , Zhengda Lu , Kai Liu , Yiqun Wang