Relations To Other Structures
The Delaunay triangulation of a point set and its dual, the Voronoi Diagram, are mathematically related to convex hulls: the Delaunay triangulation of a point set in Rn can be viewed as the projection of a convex hull in Rn+1.
Topologically, the convex hull of an open set is always itself open, and the convex hull of a compact set is always itself compact; however, there exist closed sets that do not have closed convex hulls. For instance, the closed set
has the open upper half-plane as its convex hull.
Read more about this topic: Convex Hull
Famous quotes containing the words relations to, relations and/or structures:
“I have no wealthy or popular relations to recommend me.”
—Abraham Lincoln (1809–1865)
“In the mythic schema of all relations between men and women, man proposes, and woman is disposed of.”
—Angela Carter (1940–1992)
“If there are people who feel that God wants them to change the structures of society, that is something between them and their God. We must serve him in whatever way we are called. I am called to help the individual; to love each poor person. Not to deal with institutions. I am in no position to judge.”
—Mother Teresa (b. 1910)