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Diagonals: Part II

5. References

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Chazelle, B., Triangulating a simple polygon in linear time, Disc. Comput. Geom., 6 (1991) 485-524.

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Urrutia, J., Sixth proof of the orthogonal art gallery theorem (unpublished manuscript).

Valtr, P., Guarding galleries where no point sees a small area, Israel J. Math., 104 (1998) 1-16.

Viswanathan, S., Tight bounds for the number of edge guards for spiral polygons, J. Geom., 51 (1994) 178-186.

Zalik, B. and G. Clapworthy, A universal trapezoidation algorithm for planar polygons, Computers & Graphs, 23 (1999) 353-363.

Zalik, B. and A. Jezernik, K. Zalik, Polygon trapezoidation by sets of open trapezoids, Computers & Graphics, 27 (2003) 791-800.


The Association for Computing Machines via its special interest groups for Graphics and Algorithms and Computation Theory sponsors an annual meeting on Computational Geometry. The proceedings of this conference has been published every year since the first conference was held in 1985. Papers in these volumes can be accessed via the ACM Portal.

Those who can access JSTOR can find some of the papers mentioned above there. For those with access, the American Mathematical Society's MathSciNet can be used to get additional bibliographic information and reviews of some these materials.

  1. Introduction
  2. Orthogonal Polygons
  3. Guarding orthogonal art galleries
  4. Entering new territory
  5. References

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