What is the Delaunay Triangulation in Computational Geometry?

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What is the Delaunay Triangulation in Computational Geometry?

The Delaunay Triangulation is a fundamental concept in computational geometry. It is a way to partition a set of points in a plane into a set of non-overlapping triangles, such that no point lies inside the circumcircle of any triangle. In other words, it is the triangulation that maximizes the minimum angle among all possible triangulations. The Delaunay Triangulation has numerous applications in various fields, including computer graphics, mesh generation, and spatial analysis.