ResearchResearch paperRobotics & Embodied AI · Image, Video & 3D Generation · Training & Scaling2 sources · Oct 13, 2026

Cepheid: Decoupling Scale from Structure for Cross-Family Motion Completion

Sparse-to-dense motion completion recovers dense mesh motion from sparse vertex displacements.

Key points

  • Residual priors trained on one geometry family frequently fail to beat parameter-free harmonic extension off-family.
  • Moreover, cross-family training meets a scaling barrier: residual amplitude varies by more than an order of magnitude across geometry families and collapses as observations become denser.
  • We decouple residual structure from physical scale by learning a dimensionless prior, estimating amplitude from observables and a lightweight correction fitted only on training sources.
  • Our unified model surpasses harmonic extension across all evaluated families, including unseen cloth and legged bodies, without skeletons, registration, or cross-mesh correspondence.

Sources (2)

Extractive summary: sentences quoted from the sources.

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