Reproduce “LaGeM: A Large Geometry Model for 3D Representation Learning and Diffusion” on OpenResearch

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About this paper

Biao Zhang, Peter Wonka

LAGEMv proposes a hierarchical autoencoder for 3D representation learning, significantly enhancing efficiency and scalability for large-scale datasets. This architecture, combined with a cascaded diffusion framework, enables controllable generation of 3D models with detailed control over various levels of geometric detail.

Key insights

  • Hierarchical architectures, akin to those in 2D image processing (e.g., U-Net, NVAE), can be effectively adapted to unordered 3D vector set representations.
  • Normalizing latent vectors in the bottleneck to zero mean and unit variance simplifies the autoencoder training and aligns the latent space for diffusion models without requiring explicit KL divergence.
  • A cascaded diffusion framework built upon a hierarchical latent space enables controlled 3D generation, allowing manipulation of geometric details at different scales.

Summary by alphaXiv.

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