Triangulation (geometry)

Pitteway triangulation

In computational geometry, a Pitteway triangulation is a point set triangulation in which the nearest neighbor of any point p within the triangulation is one of the vertices of the triangle containing p.Alternatively, it is a Delaunay triangulation in which each internal edge crosses its dual Voronoi diagram edge. Pitteway triangulations are named after Michael Pitteway, who studied them in 1973. Not every point set supports a Pitteway triangulation. When such a triangulation exists it is a special case of the Delaunay triangulation, and consists of the union of the Gabriel graph and convex hull. (Wikipedia).

Pitteway triangulation
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Related pages

Dual graph | Delaunay triangulation | General position | Nearest neighbor search | Computational geometry | Convex hull | Voronoi diagram | Gabriel graph | Isosceles triangle