Introduction to Voronoi & Delaunay diagrams. By Groysman Maxim. Abstract. Let S be a set of sites in the plane. Each point in the plane is influenced by each point of S. We would like to decompose the plane into regions.
Introduction to Voronoi & Delaunay diagrams
By Groysman Maxim
Note: from now on, we assume that no 4 points of S are cocircular, and no 3 points are collinear.
Connect the containing
Flipping the necessary
edges of the containing
No more flips are
using expected linear space. The average is taken over the different orders of inserting of the n points.
We start with finding starting edge at infinity.
Now we will trace B(L,R) using the starting edge.
Then defines a plane in .