Adaptive Multi-Resolution Triangulations Based on Physical Compression

This paper presents a method for generating multi‐resolution adaptive triangulations of non‐manifold 3D objects composed of several regions with arbitrary geometry. The process first immerses the input boundary elements inside a semi‐regular adaptive tetrahedral mesh known as a BMT triangulation. The mesh elements are then pushed towards the boundary by means of a physically based compression scheme, more specifically, a mass‐spring system. The final triangulation has no degenerated tetrahedra and provides an approximation of the boundary based on a chosen resolution.

@Article { MCEV05,
  author       = "Marroquim, Ricardo and Cavalcanti, Paulo and Esperan\c{c}a, Claudio and Velho, Luiz",
  title        = "Adaptive Multi-Resolution Triangulations Based on Physical Compression",
  journal      = "Communications in Numerical Methods in Engineering",
  volume       = "21",
  pages        = "571--580",
  year         = "2005",
  note         = "http://dx.doi.org/10.1002/cnm.774",
  url          = "http://graphics.tudelft.nl/Publications-new/2005/MCEV05"
}