Linear-Size Nonobtuse Triangulation of Polygons

@article{Bern1994LinearSizeNT,
  title={Linear-Size Nonobtuse Triangulation of Polygons},
  author={Marshall W. Bern and Scott A. Mitchell and Jim Ruppert},
  journal={Discrete & Computational Geometry},
  year={1994},
  volume={14},
  pages={411-428}
}
We give an algorithm for triangulating <italic>n</italic>-vertex polygonal regions (with holes) so that no angle in the final triangulation measures more than π/2. The number of triangles in the triangulation is only <italic>O(n)</italic>, improving a previous bound of <italic>O</italic>(<italic>n</italic><supscrpt>2</supscrpt>), and the worst-case running time is <italic>O</italic>(<italic>n</italic>log<supscrpt>2</supscrpt><italic>n</italic>). The basic technique used in the algorithm… CONTINUE READING
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