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Matrix approximation is a common tool in machine learning for building accurate prediction models for recommendation systems, text mining, and computer vision. A prevalent assumption in constructing matrix approximations is that the…

Machine Learning · Computer Science 2013-01-16 Joonseok Lee , Seungyeon Kim , Guy Lebanon , Yoram Singer

Existing position based point cloud filtering methods can hardly preserve sharp geometric features. In this paper, we rethink point cloud filtering from a non-learning non-local non-normal perspective, and propose a novel position based…

Computer Vision and Pattern Recognition · Computer Science 2021-10-15 Jinxi Wang , Jincen Jiang , Xuequan Lu , Meili Wang

Point cloud filtering, the main bottleneck of which is removing noise (outliers) while preserving geometric features, is a fundamental problem in 3D field. The two-step schemes involving normal estimation and position update have been shown…

Graphics · Computer Science 2020-04-27 Dening Lu , Xuequan Lu , Yangxing Sun , Jun Wang

In this paper, we propose a normal estimation method for unstructured 3D point clouds. In this method, a feature constraint mechanism called Local Plane Features Constraint (LPFC) is used and then a multi-scale selection strategy is…

Graphics · Computer Science 2019-10-22 Jun Zhou , Hua Huang , Bin Liu , Xiuping Liu

As the basic task of point cloud analysis, classification is fundamental but always challenging. To address some unsolved problems of existing methods, we propose a network that captures geometric features of point clouds for better…

Computer Vision and Pattern Recognition · Computer Science 2021-04-14 Shi Qiu , Saeed Anwar , Nick Barnes

This paper proposes a fast and accurate surface normal estimation method which can be directly used on depth maps (organized point clouds). The surface normal estimation process is formulated as a closed-form expression. In order to reduce…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Saed Moradi , Alireza Memarmoghadam , Denis Laurendeau

Estimating the normal of a point requires constructing a local patch to provide center-surrounding context, but determining the appropriate neighborhood size is difficult when dealing with different data or geometries. Existing methods…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Qing Li , Huifang Feng , Kanle Shi , Yue Gao , Yi Fang , Yu-Shen Liu , Zhizhong Han

This work presents an accurate and robust method for estimating normals from point clouds. In contrast to predecessor approaches that minimize the deviations between the annotated and the predicted normals directly, leading to direction…

Computer Vision and Pattern Recognition · Computer Science 2023-12-15 Yingrui Wu , Mingyang Zhao , Keqiang Li , Weize Quan , Tianqi Yu , Jianfeng Yang , Xiaohong Jia , Dong-Ming Yan

We are interested in reconstructing the mesh representation of object surfaces from point clouds. Surface reconstruction is a prerequisite for downstream applications such as rendering, collision avoidance for planning, animation, etc.…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Minghua Liu , Xiaoshuai Zhang , Hao Su

In recent years, point cloud normal estimation, as a classical and foundational algorithm, has garnered extensive attention in the field of 3D geometric processing. Despite the remarkable performance achieved by current Neural Network-based…

Computer Vision and Pattern Recognition · Computer Science 2024-06-28 Jun Zhou , Yaoshun Li , Hongchen Tan , Mingjie Wang , Nannan Li , Xiuping Liu

We propose a novel normal estimation method called HSurf-Net, which can accurately predict normals from point clouds with noise and density variations. Previous methods focus on learning point weights to fit neighborhoods into a geometric…

Computer Vision and Pattern Recognition · Computer Science 2022-10-14 Qing Li , Yu-Shen Liu , Jin-San Cheng , Cheng Wang , Yi Fang , Zhizhong Han

This paper surveys and evaluates some popular state of the art methods for algorithmic curvature and normal estimation. In addition to surveying existing methods we also propose a new method for robust curvature estimation and evaluate it…

Computational Geometry · Computer Science 2023-06-02 Jared Spang

This paper describes a suite of algorithms for constructing low-rank approximations of an input matrix from a random linear image of the matrix, called a sketch. These methods can preserve structural properties of the input matrix, such as…

Numerical Analysis · Computer Science 2018-01-03 Joel A. Tropp , Alp Yurtsever , Madeleine Udell , Volkan Cevher

The reconstruction of real-world surfaces is on high demand in various applications. Most existing reconstruction approaches apply 3D scanners for creating point clouds which are generally sparse and of low density. These points clouds will…

Computer Vision and Pattern Recognition · Computer Science 2021-03-01 Rajat Sharma , Tobias Schwandt , Christian Kunert , Steffen Urban , Wolfgang Broll

Most existing approaches for point cloud normal estimation aim to locally fit a geometric surface and calculate the normal from the fitted surface. Recently, learning-based methods have adopted a routine of predicting point-wise weights to…

Computer Vision and Pattern Recognition · Computer Science 2023-03-31 Hang Du , Xuejun Yan , Jingjing Wang , Di Xie , Shiliang Pu

Estimating normals for noisy point clouds is a persistent challenge in 3D geometry processing, particularly for end-to-end oriented normal estimation. Existing methods generally address relatively clean data and rely on supervised priors to…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Qing Li , Huifang Feng , Xun Gong , Yu-Shen Liu

We propose a precise and efficient normal estimation method that can deal with noise and nonuniform density for unstructured 3D point clouds. Unlike existing approaches that directly take patches and ignore the local neighborhood…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Keqiang Li , Mingyang Zhao , Huaiyu Wu , Dong-Ming Yan , Zhen Shen , Fei-Yue Wang , Gang Xiong

This paper presents an effective normal estimation method adopting multi-patch stitching for an unstructured point cloud. The majority of learning-based approaches encode a local patch around each point of a whole model and estimate the…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Jun Zhou , Wei Jin , Mingjie Wang , Xiuping Liu , Zhiyang Li , Zhaobin Liu

With the burst development of neural networks in recent years, the task of normal estimation has once again become a concern. By introducing the neural networks to classic methods based on problem-specific knowledge, the adaptability of the…

Computer Vision and Pattern Recognition · Computer Science 2021-04-22 Jun Zhou , Wei Jin , Mingjie Wang , Xiuping Liu , Zhiyang Li , Zhaobin Liu

Point normal, as an intrinsic geometric property of 3D objects, not only serves conventional geometric tasks such as surface consolidation and reconstruction, but also facilitates cutting-edge learning-based techniques for shape analysis…

Computer Vision and Pattern Recognition · Computer Science 2022-03-24 Haoran Zhou , Honghua Chen , Yingkui Zhang , Mingqiang Wei , Haoran Xie , Jun Wang , Tong Lu , Jing Qin , Xiao-Ping Zhang
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