The Strange Complexity of Constrained Delaunay Triangulation

نویسندگان

  • Nicolas Grislain
  • Jonathan Richard Shewchuk
چکیده

The problem of determining whether a polyhedron has a constrained Delaunay tetrahedralization is NP-complete. However, if no five vertices of the polyhedron lie on a common sphere, the problem has a polynomial-time solution. Constrained Delaunay tetrahedralization has the unusual status (for a small-dimensional problem) of being NP-hard only for degenerate inputs.

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تاریخ انتشار 2003