Greedy triangulation

Greedy triangulation
	Polygon Greedy triangulation steps. On each step a new edge (red) is added joining the nearest pair of vertex, without crossing a previously edge
Class	Search algorithm
Data structure	Priority queue; Spatial database;
Worst-case performance
Best-case performance

The Greedy Triangulation is a method to compute a polygon triangulation or a Point set triangulation using a greedy schema, which adds edges one by one to the solution in strict increasing order by length, with the condition that an edge cannot cut a previously inserted edge.[1][2]

References

J. Loera, J. Rambau and F. Santos (2010), Triangulations: Structures and Algorithms (2nd revised ed.), Springer-Verlag, ISBN 9783642129711 Chapter 3: Polygon Triangulation: pp.103.
Mark de Berg, Marc van Kreveld, Mark Overmars, and Otfried Schwarzkopf (2000), Computational Geometry (2nd revised ed.), Springer-Verlag, ISBN 3-540-65620-0CS1 maint: multiple names: authors list (link)

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.

[Loera2010-1] J. Loera, J. Rambau and F. Santos (2010), Triangulations: Structures and Algorithms (2nd revised ed.), Springer-Verlag, ISBN 9783642129711 Chapter 3: Polygon Triangulation: pp.103.

[bkos-2] Mark de Berg, Marc van Kreveld, Mark Overmars, and Otfried Schwarzkopf (2000), Computational Geometry (2nd revised ed.), Springer-Verlag, ISBN 3-540-65620-0CS1 maint: multiple names: authors list (link)