Topology-adaptive interface tracking using the deformable simplicial complex
Marek Krzysztof Misztal, Jakob Andreas Bærentzen
In ACM Transactions on Graphics, 31(3), May 2012.
Abstract: We present a novel, topology-adaptive method for deformable interface tracking, called the Deformable Simplicial Complex (DSC). In the DSC method, the interface is represented explicitly as a piecewise linear curve (in 2D) or surface (in 3D) which is a part of a discretization (triangulation/tetrahedralization) of the space, such that the interface can be retrieved as a set of faces separating triangles/tetrahedra marked as inside from the ones marked as outside (so it is also given implicitly). This representation allows robust topological adaptivity and, thanks to the explicit representation of the interface, it suffers only slightly from numerical diffusion. Furthermore, the use of an unstructured grid yields robust adaptive resolution. Also, topology control is simple in this setting. We present the strengths of the method in several examples: simple geometric flows, fluid simulation, point cloud reconstruction, and cut locus construction.
Keyword(s): Deformable models, surface tracking, tetrahedral meshes
Article URL: http://dx.doi.org/10.1145/2167076.2167082
BibTeX format:
@article{Misztal:2012:TIT,
  author = {Marek Krzysztof Misztal and Jakob Andreas Bærentzen},
  title = {Topology-adaptive interface tracking using the deformable simplicial complex},
  journal = {ACM Transactions on Graphics},
  volume = {31},
  number = {3},
  pages = {24:1--24:12},
  month = may,
  year = {2012},
}
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