(classic problem)

**Definition:**
Find the triangulation with the greatest overall minimum angle. There is an incremental algorithm that takes *O(n log n)* time.

**See also**
*optimal polygon triangulation problem*.

*Note:
Triangulation is breaking up an area into triangles. The goal is to make all the triangles as close to equilateral as possible. Equivalently, have as few "slivers" as possible.
*

* This is the best triangulation if you want to interpolate a height field (topographic map) between given points, or to divide a surface to triangles and research the heat conduction, etc. between them. Contributed by Motty Porat (vn16908@netvision.net.il) 10 July 2000. *

See Computational Geometry by De Berg, Van Kreveld, Overmars and Schwarzkopf.

Author: PEB

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If you have suggestions, corrections, or comments, please get in touch with Paul Black.

Entry modified 17 December 2004.

HTML page formatted Fri Feb 23 10:06:08 2018.

Cite this as:

Paul E. Black, "optimal triangulation problem", in
*Dictionary of Algorithms and Data Structures* [online], Vreda Pieterse and Paul E. Black, eds. 17 December 2004. (accessed TODAY)
Available from: https://www.nist.gov/dads/HTML/optimTriangulation.html