Unsupervised Point Cloud Completion through Unbalanced Optimal Transport

Fuente: arXiv
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Autori principali: Lee, Taekyung, Choi, Jaemoo, Choi, Jaewoong, Kang, Myungjoo
Natura: Preprint
Pubblicazione: 2024
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author Lee, Taekyung
Choi, Jaemoo
Choi, Jaewoong
Kang, Myungjoo
author_facet Lee, Taekyung
Choi, Jaemoo
Choi, Jaewoong
Kang, Myungjoo
contents Unpaired point cloud completion is crucial for real-world applications, where ground-truth data for complete point clouds are often unavailable. By learning a completion map from unpaired incomplete and complete point cloud data, this task avoids the reliance on paired datasets. In this paper, we propose the \textit{Unbalanced Optimal Transport Map for Unpaired Point Cloud Completion (\textbf{UOT-UPC})} model, which formulates the unpaired completion task as the (Unbalanced) Optimal Transport (OT) problem. Our method employs a Neural OT model learning the UOT map using neural networks. Our model is the first attempt to leverage UOT for unpaired point cloud completion, achieving competitive or superior performance on both single-category and multi-category benchmarks. In particular, our approach is especially robust under the class imbalance problem, which is frequently encountered in real-world unpaired point cloud completion scenarios. The code is available at https://github.com/LEETK99/UOT-UPC.
format Preprint
id arxiv_https___arxiv_org_abs_2410_02671
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Unsupervised Point Cloud Completion through Unbalanced Optimal Transport
Lee, Taekyung
Choi, Jaemoo
Choi, Jaewoong
Kang, Myungjoo
Computer Vision and Pattern Recognition
Artificial Intelligence
Unpaired point cloud completion is crucial for real-world applications, where ground-truth data for complete point clouds are often unavailable. By learning a completion map from unpaired incomplete and complete point cloud data, this task avoids the reliance on paired datasets. In this paper, we propose the \textit{Unbalanced Optimal Transport Map for Unpaired Point Cloud Completion (\textbf{UOT-UPC})} model, which formulates the unpaired completion task as the (Unbalanced) Optimal Transport (OT) problem. Our method employs a Neural OT model learning the UOT map using neural networks. Our model is the first attempt to leverage UOT for unpaired point cloud completion, achieving competitive or superior performance on both single-category and multi-category benchmarks. In particular, our approach is especially robust under the class imbalance problem, which is frequently encountered in real-world unpaired point cloud completion scenarios. The code is available at https://github.com/LEETK99/UOT-UPC.
title Unsupervised Point Cloud Completion through Unbalanced Optimal Transport
topic Computer Vision and Pattern Recognition
Artificial Intelligence
url https://arxiv.org/abs/2410.02671