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Chamfer Distance (CD) and Earth Mover's Distance (EMD) are two broadly adopted metrics for measuring the similarity between two point sets. However, CD is usually insensitive to mismatched local density, and EMD is usually dominated by…

Computer Vision and Pattern Recognition · Computer Science 2021-11-25 Tong Wu , Liang Pan , Junzhe Zhang , Tai Wang , Ziwei Liu , Dahua Lin

Chamfer Distance (CD) is widely used as a metric to quantify difference between two point clouds. In point cloud completion, Chamfer Distance (CD) is typically used as a loss function in deep learning frameworks. However, it is generally…

Computer Vision and Pattern Recognition · Computer Science 2024-12-25 Fangzhou Lin , Songlin Hou , Haotian Liu , Shang Gao , Kazunori D Yamada , Haichong K. Zhang , Ziming Zhang

As 3D point clouds become a cornerstone of modern technology, the need for sophisticated generative models and reliable evaluation metrics has grown exponentially. In this work, we first expose that some commonly used metrics for evaluating…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Matteo Bastico , David Ryckelynck , Laurent Corté , Yannick Tillier , Etienne Decencière

3D point clouds enhanced the robot's ability to perceive the geometrical information of the environments, making it possible for many downstream tasks such as grasp pose detection and scene understanding. The performance of these tasks,…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Fangzhou Lin , Haotian Liu , Haoying Zhou , Songlin Hou , Kazunori D Yamada , Gregory S. Fischer , Yanhua Li , Haichong K. Zhang , Ziming Zhang

Chamfer Distance (CD) is a widely adopted metric in 3D point cloud learning due to its simplicity and efficiency. However, it suffers from a fundamental limitation: it relies solely on Euclidean distances, which often fail to capture the…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Pedro Alonso , Tianrui Li , Chongshou Li

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

As point clouds are 3D signals with permutation invariance, most existing works train their reconstruction networks by measuring shape differences with the average point-to-point distance between point clouds matched with predefined rules.…

Computer Vision and Pattern Recognition · Computer Science 2023-12-29 Tianxin Huang , Qingyao Liu , Xiangrui Zhao , Jun Chen , Yong Liu

Quantifying degrees of fusion and separability between data groups in representation space is a fundamental problem in representation learning, particularly under domain shift. A meaningful metric should capture fusion-altering factors like…

Machine Learning · Computer Science 2026-01-30 Xiaolong Zhang , Jianwei Zhang , Xubo Song

3D point cloud is an important 3D representation for capturing real world 3D objects. However, real-scanned 3D point clouds are often incomplete, and it is important to recover complete point clouds for downstream applications. Most…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Zhaoyang Lyu , Zhifeng Kong , Xudong Xu , Liang Pan , Dahua Lin

3D point cloud completion, the task of inferring the complete geometric shape from a partial point cloud, has been attracting attention in the community. For acquiring high-fidelity dense point clouds and avoiding uneven distribution,…

Computer Vision and Pattern Recognition · Computer Science 2019-12-03 Minghua Liu , Lu Sheng , Sheng Yang , Jing Shao , Shi-Min Hu

This paper presents the generalization of weighted distances to modules and their computation through the chamfer algorithm on general point lattices. The first part is dedicated to formalization of definitions and properties (distance,…

Discrete Mathematics · Computer Science 2008-08-06 Céline Fouard , Robin Strand , Gunilla Borgefors

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

Digital dentistry has made significant advancements, yet numerous challenges remain. This paper introduces the FDI 16 dataset, an extensive collection of tooth meshes and point clouds. Additionally, we present a novel approach: Variational…

Computer Vision and Pattern Recognition · Computer Science 2024-08-28 Johan Ziruo Ye , Thomas Ørkild , Peter Lempel Søndergaard , Søren Hauberg

The analysis of non-stationary time-series data requires insight into its local and global patterns with physical interpretability. However, traditional smoothing algorithms, such as B-splines, Savitzky-Golay filtering, and Empirical Mode…

Signal Processing · Electrical Eng. & Systems 2026-02-25 Teymur Aghayev

We present a robust refinement method for estimating oriented normals from unstructured point clouds. In contrast to previous approaches that either suffer from high computational complexity or fail to achieve desirable accuracy, our novel…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Yingrui Wu , Mingyang Zhao , Weize Quan , Jian Shi , Xiaohong Jia , Dong-Ming Yan

Federated learning (FL) is a promising paradigm for multiple devices to cooperatively train a model. When applied in wireless networks, two issues consistently affect the performance of FL, i.e., data heterogeneity of devices and limited…

Machine Learning · Computer Science 2025-06-10 Tan Chen , Jintao Yan , Yuxuan Sun , Sheng Zhou , Zhisheng Niu

We present a novel randomized block coordinate descent method for the minimization of a convex composite objective function. The method uses (approximate) partial second-order (curvature) information, so that the algorithm performance is…

Optimization and Control · Mathematics 2018-02-28 Kimon Fountoulakis , Rachael Tappenden

Change detection (CD) has extensive applications and is a crucial method for identifying and localizing target changes. In recent years, various CD methods represented by convolutional neural network (CNN) and transformer have achieved…

Image and Video Processing · Electrical Eng. & Systems 2026-03-11 Chengming Wang , Peng Duan , Jinjiang Li

Weighting methods are essential tools for estimating causal effects in observational studies, with the goal of balancing pre-treatment covariates across treatment groups. Traditional approaches pursue this objective indirectly, for example,…

Methodology · Statistics 2026-02-09 Diptanil Santra , Guanhua Chen , Chan Park

Function-correcting codes are designed to reduce redundancy of codes when protecting function values of information against errors. As generalizations of Hamming weights and Lee weights over $ \mathbb{Z}_{4} $, homogeneous weights are used…

Information Theory · Computer Science 2025-07-08 Huiying Liu , Hongwei Liu
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