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Point clouds can be regarded as discrete samples of smooth manifolds and are typically analyzed via the eigenfunctions of the Laplace-Beltrami operator. This paper extends manifold spectral analysis to the fractional domain, enabling…

General Mathematics · Mathematics 2026-05-04 Jiamian Li , Bing-Zhao Li

In recent years, the challenge of 3D shape analysis within point cloud data has gathered significant attention in computer vision. Addressing the complexities of effective 3D information representation and meaningful feature extraction for…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Md Meraz , Md Afzal Ansari , Mohammed Javed , Pavan Chakraborty

Recently, cross-source point cloud registration from different sensors has become a significant research focus. However, traditional methods confront challenges due to the varying density and structure of cross-source point clouds. In order…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Yu Wang , Shuhui Bu , Lin Chen , Yifei Dong , Kun Li , Xuefeng Cao , Ke Li

3D shape recognition has attracted more and more attention as a task of 3D vision research. The proliferation of 3D data encourages various deep learning methods based on 3D data. Now there have been many deep learning models based on…

Computer Vision and Pattern Recognition · Computer Science 2020-03-02 Yaxin Zhao , Jichao Jiao , Tangkun Zhang

Flow matching has emerged as a powerful generative modeling approach with flexible choices of source distribution. While Gaussian distributions are commonly used, the potential for better alternatives in high-dimensional data generation…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Junho Lee , Kwanseok Kim , Joonseok Lee

Although accurate and fast point cloud classification is a fundamental task in 3D applications, it is difficult to achieve this purpose due to the irregularity and disorder of point clouds that make it challenging to achieve effective and…

Computer Vision and Pattern Recognition · Computer Science 2022-03-03 Dening Lu , Qian Xie , Linlin Xu , Jonathan Li

Efficient and accurate 3D reconstruction is crucial for various applications, including augmented and virtual reality, medical imaging, and cinematic special effects. While traditional Multi-View Stereo (MVS) systems have been fundamental…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Umair Haroon , Ahmad AlMughrabi , Ricardo Marques , Petia Radeva

Understanding the implication of point cloud is still challenging to achieve the goal of classification or segmentation due to the irregular and sparse structure of point cloud. As we have known, PointNet architecture as a ground-breaking…

Computer Vision and Pattern Recognition · Computer Science 2020-09-29 Xi-An Li , Lei Zhang , Li-Yan Wang , Jian Lu

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

Scene flow represents the 3D motion of every point in the dynamic environments. Like the optical flow that represents the motion of pixels in 2D images, 3D motion representation of scene flow benefits many applications, such as autonomous…

Computer Vision and Pattern Recognition · Computer Science 2021-06-09 Guangming Wang , Xinrui Wu , Zhe Liu , Hesheng Wang

Reconstructing 3D point clouds into triangle meshes is a key problem in computational geometry and surface reconstruction. Point cloud triangulation solves this problem by providing edge information to the input points. Since no vertex…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Huan Lei , Ruitao Leng , Liang Zheng , Hongdong Li

Point cloud upsampling is vital for the quality of the mesh in three-dimensional reconstruction. Recent research on point cloud upsampling has achieved great success due to the development of deep learning. However, the existing methods…

Graphics · Computer Science 2021-02-09 Shuquan Ye , Dongdong Chen , Songfang Han , Ziyu Wan , Jing Liao

Point cloud registration is a task to estimate the rigid transformation between two unaligned scans, which plays an important role in many computer vision applications. Previous learning-based works commonly focus on supervised…

Computer Vision and Pattern Recognition · Computer Science 2023-08-10 Mingzhi Yuan , Kexue Fu , Zhihao Li , Yucong Meng , Manning Wang

We propose a mixed-resolution point-cloud representation and an example-based super-resolution framework, from which several processing tools can be derived, such as compression, denoising and error concealment. By inferring the…

Signal Processing · Electrical Eng. & Systems 2018-03-20 Diogo C. Garcia , Tiago A. Fonseca , Ricardo L. de Queiroz

Scanning real-life scenes with modern registration devices typically gives incomplete point cloud representations, primarily due to the limitations of partial scanning, 3D occlusions, and dynamic light conditions. Recent works on processing…

Computer Vision and Pattern Recognition · Computer Science 2024-04-15 Haipeng Wang

Noise is an inevitable aspect of point cloud acquisition, necessitating filtering as a fundamental task within the realm of 3D vision. Existing learning-based filtering methods have shown promising capabilities on small-scale synthetic or…

Multimedia · Computer Science 2025-01-10 Qingyuan Zhou , Weidong Yang , Ben Fei , Jingyi Xu , Rui Zhang , Keyi Liu , Yeqi Luo , Ying He

In this paper, we introduce a novel method for comparing 3D point clouds, a critical task in various machine learning applications. By interpreting point clouds as samples from underlying probability density functions, the statistical…

Differential Geometry · Mathematics 2024-05-09 Amit Vishwakarma , KS Subrahamanian Moosath

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

Point cloud synthesis, i.e. the generation of novel point clouds from an input distribution, remains a challenging task, for which numerous complex machine learning models have been devised. We develop a novel method that encodes…

Computer Vision and Pattern Recognition · Computer Science 2026-01-08 Ernst Röell , Bastian Rieck

Crowd counting presents enormous challenges in the form of large variation in scales within images and across the dataset. These issues are further exacerbated in highly congested scenes. Approaches based on straightforward fusion of…

Computer Vision and Pattern Recognition · Computer Science 2019-08-30 Vishwanath A Sindagi , Vishal M. Patel
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