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 the, relationship with, relationship and/or diagram:
“Some [adolescent] girls are depressed because they have lost their warm, open relationship with their parents. They have loved and been loved by people whom they now must betray to fit into peer culture. Furthermore, they are discouraged by peers from expressing sadness at the loss of family relationshipseven to say they are sad is to admit weakness and dependency.”
—Mary Pipher (20th century)
“Sisters is probably the most competitive relationship within the family, but once the sisters are grown, it becomes the strongest relationship.”
—Margaret Mead (19011978)
“Henry David Thoreau, who never earned much of a living or sustained a relationship with any woman that wasnt brotherlywho lived mostly under his parents roof ... who advocated one days work and six days off as the weekly round and was considered a bit of a fool in his hometown ... is probably the American writer who tells us best how to live comfortably with our most constant companion, ourselves.”
—Edward Hoagland (b. 1932)
“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)