Problem

The Voronoi polygon for a point p of a set S of points in the plane is defined to be the...

The Voronoi polygon for a point p of a set S of points in the plane is defined to be the perimeter of the set of all points in the plane closer to p than to any other point in S. The union of all the Voronoi polygons of the points in S is called the Voronoi diagram of S.

a. What is the Voronoi diagram for a set of three points?

b. Find a visualization of an algorithm for generating the Voronoi diagram on the Web and study a few examples of such diagrams. Based on your observations, can you tell how the solution to the previous question is generalized to the general case?

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Solutions For Problems in Chapter 4.6