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Techniques from metric geometry have become fundamental tools in modern mathematical data science, providing principled methods for comparing datasets modeled as finite metric spaces. Two of the central tools in this area are the…

Algebraic Topology · Mathematics 2025-12-10 Yaoying Fu , Evgeniya Lagoda , Shiying Li , Tom Needham , Lander Ver Hoef , Morgan Weiler

With the advancement in 3D scanning technology, there has been a surge of interest in the use of point clouds in science and engineering. To facilitate the computations and analyses of point clouds, prior works have considered…

Computational Geometry · Computer Science 2021-12-22 Gary P. T. Choi , Yechen Liu , Lok Ming Lui

Rate distortion optimization plays a very important role in image/video coding. But for 3D point cloud, this problem has not been investigated. In this paper, the rate and distortion characteristics of 3D point cloud are investigated in…

Image and Video Processing · Electrical Eng. & Systems 2020-09-15 Qi Liu , Hui Yuan , Junhui Hou , Raouf Hamzaoui , Honglei Su

Point clouds registration is a fundamental step of many point clouds processing pipelines; however, most algorithms are tested on data that are collected ad-hoc and not shared with the research community. These data often cover only a very…

Solving the challenging problem of 3D object reconstruction from a single image appropriately gives existing technologies the ability to perform with a single monocular camera rather than requiring depth sensors. In recent years, thanks to…

Computer Vision and Pattern Recognition · Computer Science 2021-08-18 Guiju Ping , Mahdi Abolfazli Esfahani , Han Wang

Monocular 3D object detection is of great significance for autonomous driving but remains challenging. The core challenge is to predict the distance of objects in the absence of explicit depth information. Unlike regressing the distance as…

Computer Vision and Pattern Recognition · Computer Science 2022-06-30 Xuepeng Shi , Qi Ye , Xiaozhi Chen , Chuangrong Chen , Zhixiang Chen , Tae-Kyun Kim

Recent state-of-the-art methods for point cloud processing are based on the notion of point convolution, for which several approaches have been proposed. In this paper, inspired by discrete convolution in image processing, we provide a…

Computer Vision and Pattern Recognition · Computer Science 2020-11-25 Alexandre Boulch , Gilles Puy , Renaud Marlet

3D point cloud analysis has drawn a lot of research attention due to its wide applications. However, collecting massive labelled 3D point cloud data is both time-consuming and labor-intensive. This calls for data-efficient learning methods.…

Computer Vision and Pattern Recognition · Computer Science 2023-01-23 Fayao Liu , Guosheng Lin , Chuan-Sheng Foo , Chaitanya K. Joshi , Jie Lin

Point cloud data now are popular data representations in a number of three-dimensional (3D) vision research realms. However, due to the limited performance of sensors and sensing noise, the raw data usually suffer from sparsity, noise, and…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Siwen Quan , Junhao Yu , Ziming Nie , Muze Wang , Sijia Feng , Pei An , Jiaqi Yang

We consider the directed Hausdorff distance between point sets in the plane, where one or both point sets consist of imprecise points. An imprecise point is modelled by a disc given by its centre and a radius. The actual position of an…

Computational Geometry · Computer Science 2009-09-30 Christian Knauer , Maarten Löffler , Marc Scherfenberg , Thomas Wolle

Point cloud quality assessment (PCQA) has become an appealing research field in recent days. Considering the importance of saliency detection in quality assessment, we propose an effective full-reference PCQA metric which makes the first…

Computer Vision and Pattern Recognition · Computer Science 2022-10-03 Zhengyu Wang , Yujie Zhang , Qi Yang , Yiling Xu , Jun Sun , Shan Liu

Odometry is of key importance for localization in the absence of a map. There is considerable work in the area of visual odometry (VO), and recent advances in deep learning have brought novel approaches to VO, which directly learn salient…

Computer Vision and Pattern Recognition · Computer Science 2020-03-06 Wei Wang , Muhamad Risqi U. Saputra , Peijun Zhao , Pedro Gusmao , Bo Yang , Changhao Chen , Andrew Markham , Niki Trigoni

This paper presents Segregator, a global point cloud registration framework that exploits both semantic information and geometric distribution to efficiently build up outlier-robust correspondences and search for inliers. Current…

Robotics · Computer Science 2023-03-02 Pengyu Yin , Shenghai Yuan , Haozhi Cao , Xingyu Ji , Shuyang Zhang , Lihua Xie

This paper presents iMatcher, a fully differentiable framework for feature matching in point cloud registration. The proposed method leverages learned features to predict a geometrically consistent confidence matrix, incorporating both…

Computer Vision and Pattern Recognition · Computer Science 2025-09-12 Karim Slimani , Catherine Achard , Brahim Tamadazte

Point clouds arising from structured data, mainly as a result of CT scans, provides special properties on the distribution of points and the distances between those. Yet often, the amount of data provided can not compare to unstructured…

Computational Geometry · Computer Science 2017-02-16 Franziska Lippoldt , Hartmut Schwandt

Point cloud completion is a vital task focused on reconstructing complete point clouds and addressing the incompleteness caused by occlusion and limited sensor resolution. Traditional methods relying on fixed local region partitioning, such…

Graphics · Computer Science 2025-09-30 Zhenyu Shu , Jian Yao , Shiqing Xin

Autonomous vehicles rely on LiDAR sensors to generate 3D point clouds for accurate segmentation and object detection. In a context of a smart city framework, we would like to understand the effect that transmission (compression) can have on…

Image and Video Processing · Electrical Eng. & Systems 2025-09-30 Tiago de S. Fernandes , Ricardo L. de Queiroz

This paper introduces Point-GN, a novel non-parametric network for efficient and accurate 3D point cloud classification. Unlike conventional deep learning models that rely on a large number of trainable parameters, Point-GN leverages…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Marzieh Mohammadi , Amir Salarpour

We introduce RGB2Point, an unposed single-view RGB image to a 3D point cloud generation based on Transformer. RGB2Point takes an input image of an object and generates a dense 3D point cloud. Contrary to prior works based on CNN layers and…

Computer Vision and Pattern Recognition · Computer Science 2024-12-06 Jae Joong Lee , Bedrich Benes

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
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