Relationship With The Voronoi Diagram
The Delaunay triangulation of a discrete point set P in general position corresponds to the dual graph of the Voronoi tessellation for P. Special cases include the existence of three points on a line and four points on circle.
-
The Delaunay triangulation with all the circumcircles and their centers (in red).
-
Connecting the centers of the circumcircles produces the Voronoi diagram (in red).
Read more about this topic: Delaunay Triangulation
Famous quotes containing the words relationship with, relationship and/or diagram:
“Christianity as an organized religion has not always had a harmonious relationship with the family. Unlike Judaism, it kept almost no rituals that took place in private homes. The esteem that monasticism and priestly celibacy enjoyed implied a denigration of marriage and parenthood.”
—Beatrice Gottlieb, U.S. historian. The Family in the Western World from the Black Death to the Industrial Age, ch. 12, Oxford University Press (1993)
“There is a relationship between cartooning and people like Miró and Picasso which may not be understood by the cartoonist, but it definitely is related even in the early Disney.”
—Roy Lichtenstein (b. 1923)
“If a fish is the movement of water embodied, given shape, then cat is a diagram and pattern of subtle air.”
—Doris Lessing (b. 1919)