A Toy Implementation of Manifold Diffusion Fields

Datasets:

• objects: https://github.com/alecjacobson/common-3d-test-models
• images: https://www.kaggle.com/datasets/jehanbhathena/weather-dataset

Installation:

• pyenv use 3.11.0
• poetry shell
• poetry install

Showcase:

Texture Mapping using Sampled Points on the 3D Mesh:

Interpolated Eigenfunction Values:

DDPM Sampling using $f \colon M \mapsto Y$ Learned Distribution

Paper made by:

@misc{elhag2024manifold,
      title={Manifold Diffusion Fields},
      author={Ahmed A. Elhag and Yuyang Wang and Joshua M. Susskind and Miguel Angel Bautista},
      year={2024},
      eprint={2305.15586},
      archivePrefix={arXiv},
      primaryClass={cs.LG}
}