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:
“Henry David Thoreau, who never earned much of a living or sustained a relationship with any woman that wasn’t brotherly—who lived mostly under his parents’ roof ... who advocated one day’s 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)
“When a mother quarrels with a daughter, she has a double dose of unhappiness—hers from the conflict, and empathy with her daughter’s from the conflict with her. Throughout her life a mother retains this special need to maintain a good relationship with her daughter.”
—Terri Apter (20th century)
““God’s fire upon the wane,
A diagram hung there instead,
More women born than men.””
—William Butler Yeats (1865–1939)