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Latent Riemannian Flow Matching for Geometry-Grounded 3D Foundation Models

Research Multimodal & Generative

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Content 95
Popularity 44

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Merged summary

TL;DR - This paper introduces Riemannian flow matching in VGGT’s latent space to generate plausible 3D scenes from sparse, unposed images. It combines a geometric foundation model’s learned priors with generative modeling while avoiding a fixed output representation.

  • Models VGGT tokens on a product manifold of four high-dimensional hyperspheres rather than using unsuitable Euclidean flow matching.
  • Keeps generated latent tokens valid for VGGT’s frozen decoding heads and multi-scale encoder.
  • Avoids committing to representations such as Gaussian splats, meshes, or video-VAE latents.
  • Reports strong appearance and aggregated 3D geometry performance on RealEstate10K, ScanNet++, and ETH3D against recent baselines.

Sources (1)

Latent Riemannian Flow Matching for Geometry-Grounded 3D Foundation Models

arXiv cs.CV Lisa Weijler, Irene Ballester, Guofeng Mei, Tolga Birdal, Pedro Hermosilla 2026-07-21 arXiv:2607.19120
Public signals Hugging Face upvotes 0
Providers: Hugging Face · Upvotes 0 OpenAlex · N/A Publisher · N/A Semantic Scholar · N/A X · N/A Fetched 2026-08-21 14:38:56.160766 UTC

TL;DR - This paper introduces Riemannian flow matching in VGGT’s latent space to generate plausible 3D scenes from sparse, unposed images. It combines a geometric foundation model’s learned priors with generative modeling while avoiding a fixed output representation.

  • Models VGGT tokens on a product manifold of four high-dimensional hyperspheres rather than using unsuitable Euclidean flow matching.
  • Keeps generated latent tokens valid for VGGT’s frozen decoding heads and multi-scale encoder.
  • Avoids committing to representations such as Gaussian splats, meshes, or video-VAE latents.
  • Reports strong appearance and aggregated 3D geometry performance on RealEstate10K, ScanNet++, and ETH3D against recent baselines.
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