Delaunay triangulation is a method for connecting a set of points in a plane to form triangles. It ensures that no point is inside the circumcircle of any triangle, which helps to maximize the minimum angle of the triangles. This property makes the triangulation useful in various applications, such as computer graphics and geographic information systems. The algorithm for Delaunay triangulation can be implemented using different techniques, including incremental insertion and divide-and-conquer methods. It is widely used in fields like mesh generation, terrain modeling, and finite element analysis due to its ability to create well-shaped triangles that improve computational efficiency.