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

Published
Source
arXiv
Paper number
687
Field
Computer Vision
arXiv ID
2607.19120

Key points

  • The authors discover that VGGT tokens live on the product manifold of four hyperspheres and apply Riemannian flow matching.
  • Compared with Euclidean flow matching, the Riemannian version improves consistently on every metric, with about a 44 percent gain in LPIPS.
  • It works with a single input view and is order invariant.
  • It reduces Chamfer distance by more than 40 percent on ScanNet++ and by more than 70 percent on ETH3D.
  • The generated 3D scans align with the context frame and enable consistent scene reconstruction.

Paper links

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