Geodesic CNN

@inproceedings{masci2015geodesic,
  title={Geodesic convolutional neural networks on riemannian manifolds},
  author={Masci, Jonathan and Boscaini, Davide and Bronstein, Michael and Vandergheynst, Pierre},
  booktitle={Proceedings of the IEEE international conference on computer vision workshops},
  pages={37--45},
  year={2015}
}

Way to apply Convolutional Neural Network on Meshes .

Geodesic coordinate system:

• polar coordinates:

  1. Angle
  2. Distance

• No clear rotation of geodesic patch -> Apply filter for multiple rotations of the surface patch

Architecture #

In Practice #

• Computing the geodesic patches not tivial (expensive)
• Choice of radius of geodesic patches
• No natural pooling opertion
  • No downsampling