Triangulation

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  • Garey, Johnson, Preparata, Tarjan (n log n, sweeping)
  • Tarjan, Van Wyck (n log log n)
  • Kirkpatrick, Klawe, Tarjan (same bound as above)
  • Clarkson, Tarjan Van Wyck (n log * n randomized)
  • Seidel: same bound as above, but simpler (see Point Location)
  • Chazelle: linear time, horrendously complicated.

Triangulation of simple polygon is equivalent to trapezoidal decomposition of boundary segments, with a linear cost (Fournier, Montuno)

Techniques: sweep, RIC.

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