# Delaunay Triangulation Algorithm and Application to Terrain Generation

@inproceedings{Razafindrazaka2009DelaunayTA, title={Delaunay Triangulation Algorithm and Application to Terrain Generation}, author={Faniry H. Razafindrazaka}, year={2009} }

We describe a randomized incremental algorithm for computing the Delaunay triangulation of a set of points and a recent technique of applying it to terrain generation. The algorithm is optimal, using a Directed Acyclic Graph (DAG)-based location structure for the incremental insertion which achieves an expected running time of O(n log n) and O(n) expected storage. The analysis of the expected storage is simplified, and the algorithm is implemented and tested. The implementation is done, in its…

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