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Three-dimensional point clouds provide highly accurate digital representations of objects, essential for applications in computer graphics, photogrammetry, computer vision, and robotics. However, comparing point clouds faces significant…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Amit Vishwakarma , K. S. Subrahamanian Moosath

Learning discriminative shape representation directly on point clouds is still challenging in 3D shape analysis and understanding. Recent studies usually involve three steps: first splitting a point cloud into some local regions, then…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Xin Wen , Zhizhong Han , Xinhai Liu , Yu-Shen Liu

This paper presents mathematical results in support of the methodology of the probabilistic learning on manifolds (PLoM) recently introduced by the authors, which has been used with success for analyzing complex engineering systems. The…

Statistics Theory · Mathematics 2020-03-02 Christian Soize , Roger Ghanem

In this paper, we propose a new geometry coding method for point cloud compression (PCC), where the points can be fitted and represented by straight lines. The encoding of the linear model can be expressed by two parts, including the…

Image and Video Processing · Electrical Eng. & Systems 2020-01-14 Xiang Zhang , Wen Gao , Shan Liu

Given the necessity of connecting the unconnected, covering blind spots has emerged as a critical task in the next-generation wireless communication network. A direct solution involves obtaining a coverage manifold that visually showcases…

Networking and Internet Architecture · Computer Science 2023-12-12 Ruibo Wang , Washim Uddin Mondal , Mustafa A. Kishk , Vaneet Aggarwal , Mohamed-Slim Alouini

In the field of autonomous driving, a variety of sensor data types exist, each representing different modalities of the same scene. Therefore, it is feasible to utilize data from other sensors to facilitate image compression. However, few…

Computer Vision and Pattern Recognition · Computer Science 2024-12-23 Yiheng Jiang , Haotian Zhang , Li Li , Dong Liu , Zhu Li

In this paper, we propose an efficient method to estimate the Weingarten map for point cloud data sampled from manifold embedded in Euclidean space. A statistical model is established to analyze the asymptotic property of the estimator. In…

Machine Learning · Statistics 2021-05-17 Yueqi Cao , Didong Li , Huafei Sun , Amir H Assadi , Shiqiang Zhang

Reorienting objects by using supports is a practical yet challenging manipulation task. Owing to the intricate geometry of objects and the constrained feasible motions of the robot, multiple manipulation steps are required for object…

Robotics · Computer Science 2023-08-30 Peng Xu , Hu Cheng , Jiankun Wang , Max Q. -H. Meng

We propose a new supervized learning framework for oversegmenting 3D point clouds into superpoints. We cast this problem as learning deep embeddings of the local geometry and radiometry of 3D points, such that the border of objects presents…

Computer Vision and Pattern Recognition · Computer Science 2019-04-04 Loic Landrieu , Mohamed Boussaha

Real data is often given as a point cloud, i.e. a finite set of points with pairwise distances between them. An important problem is to detect the topological shape of data --- for example, to approximate a point cloud by a low-dimensional…

Algebraic Topology · Mathematics 2018-10-09 Sara Kalisnik Verovsek , Vitaliy Kurlin , Davorin Lesnik

Point cloud reconstruction from raw point cloud has been an important topic in computer graphics for decades, especially due to its high demand in modeling and rendering applications. An important way to solve this problem is establishing a…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Hui Tian , Kai Xu

Surface-based geodesic topology provides strong cues for object semantic analysis and geometric modeling. However, such connectivity information is lost in point clouds. Thus we introduce GeoNet, the first deep learning architecture trained…

Computer Vision and Pattern Recognition · Computer Science 2019-01-04 Tong He , Haibin Huang , Li Yi , Yuqian Zhou , Chihao Wu , Jue Wang , Stefano Soatto

We present a novel approach to learning a point-wise, meaningful embedding for point-clouds in an unsupervised manner, through the use of neural-networks. The domain of point-cloud processing via neural-networks is rapidly evolving, with…

Graphics · Computer Science 2019-03-12 Matan Shoef , Sharon Fogel , Daniel Cohen-Or

This paper addresses the task of estimating the 6 degrees of freedom pose of a known 3D object from depth information represented by a point cloud. Deep features learned by convolutional neural networks from color information have been the…

Computer Vision and Pattern Recognition · Computer Science 2020-01-27 Ge Gao , Mikko Lauri , Yulong Wang , Xiaolin Hu , Jianwei Zhang , Simone Frintrop

Despite considerable progress being achieved in point cloud geometry compression, there still remains a challenge in effectively compressing large-scale scenes with sparse surfaces. Another key challenge lies in reducing decoding latency, a…

Computer Vision and Pattern Recognition · Computer Science 2024-04-23 Kang You , Kai Liu , Li Yu , Pan Gao , Dandan Ding

3D LiDAR scanners are playing an increasingly important role in autonomous driving as they can generate depth information of the environment. However, creating large 3D LiDAR point cloud datasets with point-level labels requires a…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Xiangyu Yue , Bichen Wu , Sanjit A. Seshia , Kurt Keutzer , Alberto L. Sangiovanni-Vincentelli

Point cloud processing as a fundamental task in the field of geomatics and computer vision, has been supporting tasks and applications at different scales from air to ground, including mapping, environmental monitoring, urban/tree structure…

Computer Vision and Pattern Recognition · Computer Science 2025-09-17 Zhenxin Zhang , Zhihua Xu , Yuwei Cao , Ningli Xu , Shuye Wang , Shen'ao Cui , Zhen Li , Rongjun Qin

Point clouds have gained prominence across numerous applications due to their ability to accurately represent 3D objects and scenes. However, efficiently compressing unstructured, high-precision point cloud data remains a significant…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Hongning Ruan , Yulin Shao , Qianqian Yang , Liang Zhao , Zhaoyang Zhang , Dusit Niyato

This paper presents a learning-based, lossless compression method for static point cloud geometry, based on context-adaptive arithmetic coding. Unlike most existing methods working in the octree domain, our encoder operates in a hybrid…

Image and Video Processing · Electrical Eng. & Systems 2021-04-21 Dat Thanh Nguyen , Maurice Quach , Giuseppe Valenzise , Pierre Duhamel

Octree-based context learning has recently become a leading method in point cloud compression. However, its potential on lossy compression remains undiscovered. The traditional lossy compression paradigm using lossless octree representation…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Kaiyu Zheng , Wei Gao , Huiming Zheng