@article{17219,
  abstract     = {We introduce a multi-material non-manifold mesh-based surface tracking algorithm that converts self-intersections into topological changes. Our algorithm generalizes prior work on manifold surface tracking with topological changes: it preserves surface features like mesh-based methods, and it robustly handles topological changes like level set methods. Our method also offers improved efficiency and robustness over the state of the art. We demonstrate the effectiveness of the approach on a range of examples, including complex soap film simulations with thousands of interacting bubbles, and boolean unions of non-manifold meshes consisting of millions of triangles.},
  author       = {Synak, Peter and Kalinov, Aleksei and Strugaru, Irina-Malina and Etemadihaghighi, Arian and Yang, Huidong and Wojtan, Christopher J},
  issn         = {1557-7368},
  journal      = {ACM Transactions on Graphics},
  keywords     = {surface tracking, topology change, non- manifold meshes, multi-material flows, solid modeling},
  number       = {4},
  publisher    = {Association for Computing Machinery},
  title        = {{Multi-material mesh-based surface tracking with implicit topology changes}},
  doi          = {10.1145/3658223},
  volume       = {43},
  year         = {2024},
}

@phdthesis{18301,
  abstract     = {Physics simulation in computer graphics can bring triangle meshes into topologically invalid states. The method in this thesis contributed to Heiss-Synak* and Kalinov* et al. [2024] who devised a non-manifold hybrid surface tracker—a surface tracker that repairs explicit non-manifold triangle meshes with the help of the implicit domain. Specifically, this thesis provides an algorithm for filling the holes that are left after removing problematic parts of the mesh.},
  author       = {Etemadihaghighi, Arian},
  issn         = {2791-4585},
  keywords     = {surface tracking, non-manifold, hole-filling, topology change, multi-material, solid-modeling},
  pages        = {39},
  publisher    = {Institute of Science and Technology Austria},
  title        = {{Filling the holes of non-manifold self-intersecting meshes for implicit topology changes in surface tracking}},
  doi          = {10.15479/at:ista:18301},
  year         = {2024},
}