Delaunay triangulations are a specific type of triangulation that connect a set of points in such a way that no point is inside the circumcircle of any triangle formed. This property maximizes the minimum angle of the triangles, which helps to avoid skinny triangles and ensures a more uniform mesh for various applications. Delaunay triangulations are important in computational geometry for applications like mesh generation, geographic information systems (GIS), and finite element analysis.
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