Curvature Diversity-Driven Deformation and Domain Alignment for Point Cloud

TMLR Paper5035 Authors

04 Jun 2025 (modified: 31 Jul 2025)Under review for TMLREveryoneRevisionsBibTeXCC BY 4.0
Abstract: Unsupervised Domain Adaptation is crucial for point cloud learning due to geometric variations across different generation methods and sensors. To tackle this challenge, we propose Curvature Diversity-Driven Nuclear-Norm Wasserstein Domain Alignment (CDND). We first introduce a Curvature Diversity-driven Deformation Reconstruction (CurvRec) task, enabling the model to extract salient features from semantically rich regions of a given point cloud. We then propose a theoretical framework for Deformation-based Nuclear-norm Wasserstein Discrepancy (D-NWD), extending the Nuclear-norm Wasserstein Discrepancy to original and deformed samples. Our theoretical analysis demonstrates that D-NWD is effective for any deformation method. Empirical experiment results show that our CDND achieves state-of-the-art performance by a noticeable margin over existing approaches.
Submission Length: Regular submission (no more than 12 pages of main content)
Assigned Action Editor: ~Mathieu_Salzmann1
Submission Number: 5035
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