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Optimal transport (OT) defines a powerful framework to compare probability distributions in a geometrically faithful way. However, the practical impact of OT is still limited because of its computational burden. We propose a new class of…

Optimization and Control · Mathematics 2016-05-30 Genevay Aude , Marco Cuturi , Gabriel Peyré , Francis Bach

In this paper, we adopt the Universal Manifold Embedding (UME) framework for the estimation of rigid transformations and extend it, so that it can accommodate scenarios involving partial overlap and differently sampled point clouds. UME is…

Computer Vision and Pattern Recognition · Computer Science 2024-08-26 Yuval Haitman , Amit Efraim , Joseph M. Francos

With current trends in sensors (cheaper, more volume of data) and applications (increasing affordability for new tasks, new ideas in what 3D data could be useful for); there is corresponding increasing interest in the ability to…

Computer Vision and Pattern Recognition · Computer Science 2022-02-23 Giang Truong , Huu Le , Alvaro Parra , Syed Zulqarnain Gilani , Syed M. S. Islam , David Suter

Non-rigid point cloud registration is a critical challenge in 3D scene understanding, particularly in surgical navigation. Although existing methods achieve excellent performance when trained on large-scale, high-quality datasets, these…

Computer Vision and Pattern Recognition · Computer Science 2024-10-31 Geng Li , Haozhi Cao , Mingyang Liu , Chenxi Jiang , Jianfei Yang

Point cloud registration involves aligning one point cloud with another or with a three-dimensional (3D) model, enabling the integration of multimodal data into a unified representation. This is essential in applications such as…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Mehdi Maboudi , Said Harb , Jackson Ferrao , Kourosh Khoshelham , Yelda Turkan , Karam Mawas

In this work, we develop an optimal transport (OT) based framework to select informative prototypical examples that best represent a given target dataset. Summarizing a given target dataset via representative examples is an important…

Machine Learning · Computer Science 2021-04-06 Karthik S. Gurumoorthy , Pratik Jawanpuria , Bamdev Mishra

The main goal of point cloud registration in Multi-View Partial (MVP) Challenge 2021 is to estimate a rigid transformation to align a point cloud pair. The pairs in this competition have the characteristics of low overlap, non-uniform…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Lifa Zhu , Changwei Lin , Dongrui Liu , Xin Li , Francisco Gómez-Fernández

Optimal transport (OT) finds a least cost transport plan between two probability distributions using a cost matrix defined on pairs of points. Unlike standard OT, which infers unstructured pointwise mappings, low-rank optimal transport…

Machine Learning · Computer Science 2026-03-05 Henri Schmidt , Peter Halmos , Ben Raphael

Vision-language models (VLMs) such as CLIP demonstrate strong performance but struggle when adapted to downstream tasks. Prompt learning has emerged as an efficient and effective strategy to adapt VLMs while preserving their pre-trained…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Xiwen Chen , Wenhui Zhu , Peijie Qiu , Hao Wang , Huayu Li , Haiyu Wu , Aristeidis Sotiras , Yalin Wang , Abolfazl Razi

As a fundamental yet challenging problem in intelligent transportation systems, point cloud registration attracts vast attention and has been attained with various deep learning-based algorithms. The unsupervised registration algorithms…

Computer Vision and Pattern Recognition · Computer Science 2023-04-14 Dongrui Liu , Chuanchuan Chen , Changqing Xu , Robert Qiu , Lei Chu

Point cloud registration aligns multiple unposed point clouds into a common reference frame and is a core step for 3D reconstruction and robot localization without initial guess. In this work, we cast registration as conditional generation:…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Yue Pan , Tao Sun , Liyuan Zhu , Lucas Nunes , Iro Armeni , Jens Behley , Cyrill Stachniss

Optimal transport (OT) is a powerful geometric tool used to compare and align probability measures following the least effort principle. Despite its widespread use in machine learning (ML), OT problem still bears its computational burden,…

Machine Learning · Computer Science 2023-08-14 Oliver Struckmeier , Ievgen Redko , Anton Mallasto , Karol Arndt , Markus Heinonen , Ville Kyrki

We propose novel fast algorithms for optimal transport (OT) utilizing a cyclic symmetry structure of input data. Such OT with cyclic symmetry appears universally in various real-world examples: image processing, urban planning, and graph…

Machine Learning · Computer Science 2023-11-23 Shoichiro Takeda , Yasunori Akagi , Naoki Marumo , Kenta Niwa

We present a novel differential matching algorithm for 3D point cloud registration. Instead of only optimizing the feature extractor for a matching algorithm, we propose a learning-based matching module optimized to the jointly-trained…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Rintaro Yanagi , Atsushi Hashimoto , Shusaku Sone , Naoya Chiba , Jiaxin Ma , Yoshitaka Ushiku

Single-stream architectures using Vision Transformer (ViT) backbones show great potential for real-time UAV tracking recently. However, frequent occlusions from obstacles like buildings and trees expose a major drawback: these models often…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 You Wu , Xucheng Wang , Xiangyang Yang , Mengyuan Liu , Dan Zeng , Hengzhou Ye , Shuiwang Li

3D point cloud registration ranks among the most fundamental problems in remote sensing, photogrammetry, robotics and geometric computer vision. Due to the limited accuracy of 3D feature matching techniques, outliers may exist, sometimes…

Computer Vision and Pattern Recognition · Computer Science 2021-11-09 Lei Sun

Point cloud registration is an important task in robotics and autonomous driving to estimate the ego-motion of the vehicle. Recent advances following the coarse-to-fine manner show promising potential in point cloud registration. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-04-03 Chenghao Shi , Xieyuanli Chen , Huimin Lu , Wenbang Deng , Junhao Xiao , Bin Dai

Sliced Optimal Transport (SOT) is a rapidly developing branch of optimal transport (OT) that exploits the tractability of one-dimensional OT problems. By combining tools from OT, integral geometry, and computational statistics, SOT enables…

Machine Learning · Statistics 2025-10-15 Khai Nguyen

We investigate the problem of efficiently computing optimal transport (OT) distances, which is equivalent to the node-capacitated minimum cost maximum flow problem in a bipartite graph. We compare runtimes in computing OT distances on data…

Data Structures and Algorithms · Computer Science 2020-07-07 Yihe Dong , Yu Gao , Richard Peng , Ilya Razenshteyn , Saurabh Sawlani

Point cloud registration is a classical topic in the field of 3D Vision and Computer Graphics. Generally, the implementation of registration is typically sensitive to similarity transformations (translation, scaling, and rotation), noisy…

Computer Vision and Pattern Recognition · Computer Science 2025-08-07 Chenlei Lv , Hui Huang
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