Toward Robust Neural Reconstruction from Sparse Point Sets

Amine Ouasfi, Shubhendu Jena, Éric Marchand, Adnane Boukhayma

Published: 2025, Last Modified: 27 Feb 2026CVPR 2025EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: We consider the challenging problem of learning Signed Distance Functions (SDF) from sparse and noisy 3D point clouds. In contrast to recent methods that depend on smoothness priors, our method, rooted in a distributionally robust optimization (DRO) framework, incorporates a regularization term that leverages samples from the uncertainty regions of the model to improve the learned SDFs. Thanks to tractable dual formulations, we show that this framework enables a stable and efficient optimization of SDFs in the absence of ground truth supervision. Using a variety of synthetic and real data evaluations from different modalities, we show that of our DRO based learning framework can improve SDF learning with respect to baselines and the state-of-the-art.
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